5,007,015

3⁵ × 5 × 13 × 317

5,007,015 is odd and not a perfect square. Its factorization is 3^5 × 5 × 13 × 317 and its 48 divisors sum to 9,723,168.

Prime Factor Structure

Factorization String 3^5 × 5 × 13 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,723,168

Proper Divisor Sum 4,716,153

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5007011 ← → #5007017

Radix Representation

Decimal	5007015
Binary	10011000110011010100111 (23 bits)
Octal	0o23063247
Hexadecimal	0x4C66A7

Divisor Catalog (48)

1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 317 351 405 585 951 1,053 1,215 1,585 1,755 2,853 3,159 4,121 4,755 5,265 8,559 12,363 14,265 15,795 20,605 25,677 37,089 42,795 61,815 77,031 111,267 128,385 185,445 333,801 385,155 556,335 1,001,403 1,669,005 5,007,015

Collatz Trajectory (87 steps to reach 1)

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

5,007,015 15,021,046 7,510,523 22,531,570 11,265,785 33,797,356 16,898,678 8,449,339 25,348,018 12,674,009 38,022,028 19,011,014 9,505,507 28,516,522 14,258,261 42,774,784 21,387,392 10,693,696 5,346,848 2,673,424 1,336,712 668,356 334,178 167,089 501,268 250,634 125,317 375,952 187,976 93,988 46,994 23,497 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296

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