8,015,904

2⁵ × 3² × 13 × 2141

8,015,904 has the prime decomposition 2^5 × 3^2 × 13 × 2141. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13 × 2141

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 24,560,172

Proper Divisor Sum 16,544,268

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8015867 ← → #8015921

Radix Representation

Decimal	8015904
Binary	11110100101000000100000 (23 bits)
Octal	0o36450040
Hexadecimal	0x7A5020

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1,248 1,872 2,141 3,744 4,282 6,423 8,564 12,846 17,128 19,269 25,692 27,833 34,256 38,538 51,384 55,666 68,512 77,076 83,499 102,768 111,332 154,152 166,998 205,536 222,664 250,497 308,304

Collatz Trajectory (155 steps to reach 1)

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

8,015,904 4,007,952 2,003,976 1,001,988 500,994 250,497 751,492 375,746 187,873 563,620 281,810 140,905 422,716 211,358 105,679 317,038 158,519 475,558 237,779 713,338 356,669 1,070,008 535,004 267,502 133,751 401,254 200,627 601,882 300,941 902,824 451,412 225,706 112,853 338,560 169,280 84,640 42,320 21,160 10,580 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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