λ
Modular Archive

9,804,015

32 × 5 × 13 × 16759
Deficient Odd Composite

The decimal integer 9,804,015 is 100101011001100011101111 in binary (24 bits), 45314357 in octal and 9598EF in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 16759
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,301,920
Proper Divisor Sum 8,497,905
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9804013 ← → #9804017

Radix Representation

Decimal 9804015
Binary 100101011001100011101111 (24 bits)
Octal 0o45314357
Hexadecimal 0x9598EF

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 16,759 50,277 83,795 150,831 217,867 251,385 653,601 754,155 1,089,335 1,960,803 3,268,005 9,804,015

Collatz Trajectory (176 steps to reach 1)

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

9,804,015 29,412,046 14,706,023 44,118,070 22,059,035 66,177,106 33,088,553 99,265,660 49,632,830 24,816,415 74,449,246 37,224,623 111,673,870 55,836,935 167,510,806 83,755,403 251,266,210 125,633,105 376,899,316 188,449,658 94,224,829 282,674,488 141,337,244 70,668,622 35,334,311 106,002,934 53,001,467 159,004,402 79,502,201 238,506,604 119,253,302 59,626,651 178,879,954 89,439,977 268,319,932 134,159,966 67,079,983 201,239,950 100,619,975 301,859,926 150,929,963 452,789,890 226,394,945 679,184,836 339,592,418 169,796,209 509,388,628 254,694,314 127,347,157 382,041,472 191,020,736 95,510,368 47,755,184 23,877,592 11,938,796 5,969,398 2,984,699 8,954,098 4,477,049 13,431,148

More profiles

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