λ
Modular Archive

9,767,628

22 × 35 × 13 × 773
Abundant Even Composite

The decimal integer 9,767,628 is 100101010000101011001100 in binary (24 bits), 45205314 in octal and 950ACC in hexadecimal. Its digit sum is 45.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 13 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 27,610,128
Proper Divisor Sum 17,842,500
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9767603 ← → #9767629

Radix Representation

Decimal 9767628
Binary 100101010000101011001100 (24 bits)
Octal 0o45205314
Hexadecimal 0x950ACC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 773 972 1,053 1,404 1,546 2,106 2,319 3,092 3,159 4,212 4,638 6,318 6,957 9,276 10,049 12,636 13,914 20,098 20,871 27,828 30,147 40,196 41,742 60,294 62,613 83,484 90,441 120,588 125,226 180,882 187,839 250,452

Collatz Trajectory (62 steps to reach 1)

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

9,767,628 4,883,814 2,441,907 7,325,722 3,662,861 10,988,584 5,494,292 2,747,146 1,373,573 4,120,720 2,060,360 1,030,180 515,090 257,545 772,636 386,318 193,159 579,478 289,739 869,218 434,609 1,303,828 651,914 325,957 977,872 488,936 244,468 122,234 61,117 183,352 91,676 45,838 22,919 68,758 34,379 103,138 51,569 154,708 77,354 38,677 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8

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