λ
Modular Archive

9,926,046

2 × 32 × 133 × 251
Abundant Even Composite

The decimal integer 9,926,046 is 100101110111010110011110 in binary (24 bits), 45672636 in octal and 97759E in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 2 × 3^2 × 13^3 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,390,640
Proper Divisor Sum 13,464,594
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9926023 ← → #9926057

Radix Representation

Decimal 9926046
Binary 100101110111010110011110 (24 bits)
Octal 0o45672636
Hexadecimal 0x97759E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 117 169 234 251 338 502 507 753 1,014 1,506 1,521 2,197 2,259 3,042 3,263 4,394 4,518 6,526 6,591 9,789 13,182 19,578 19,773 29,367 39,546 42,419 58,734 84,838 127,257 254,514 381,771 551,447 763,542 1,102,894 1,654,341 3,308,682 4,963,023 9,926,046

Collatz Trajectory (145 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,926,046 4,963,023 14,889,070 7,444,535 22,333,606 11,166,803 33,500,410 16,750,205 50,250,616 25,125,308 12,562,654 6,281,327 18,843,982 9,421,991 28,265,974 14,132,987 42,398,962 21,199,481 63,598,444 31,799,222 15,899,611 47,698,834 23,849,417 71,548,252 35,774,126 17,887,063 53,661,190 26,830,595 80,491,786 40,245,893 120,737,680 60,368,840 30,184,420 15,092,210 7,546,105 22,638,316 11,319,158 5,659,579 16,978,738 8,489,369 25,468,108 12,734,054 6,367,027 19,101,082 9,550,541 28,651,624 14,325,812 7,162,906 3,581,453 10,744,360 5,372,180 2,686,090 1,343,045 4,029,136 2,014,568 1,007,284 503,642 251,821 755,464 377,732

More profiles

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