7,925,125

5³ × 13 × 4877

7,925,125 is odd and not a perfect square. Its factorization is 5^3 × 13 × 4877 and its 16 divisors sum to 10,653,552.

Prime Factor Structure

Factorization String 5^3 × 13 × 4877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,653,552

Proper Divisor Sum 2,728,427

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7925123 ← → #7925173

Radix Representation

Decimal	7925125
Binary	11110001110110110000101 (23 bits)
Octal	0o36166605
Hexadecimal	0x78ED85

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 4,877 24,385 63,401 121,925 317,005 609,625 1,585,025 7,925,125

Collatz Trajectory (124 steps to reach 1)

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

7,925,125 23,775,376 11,887,688 5,943,844 2,971,922 1,485,961 4,457,884 2,228,942 1,114,471 3,343,414 1,671,707 5,015,122 2,507,561 7,522,684 3,761,342 1,880,671 5,642,014 2,821,007 8,463,022 4,231,511 12,694,534 6,347,267 19,041,802 9,520,901 28,562,704 14,281,352 7,140,676 3,570,338 1,785,169 5,355,508 2,677,754 1,338,877 4,016,632 2,008,316 1,004,158 502,079 1,506,238 753,119 2,259,358 1,129,679 3,389,038 1,694,519 5,083,558 2,541,779 7,625,338 3,812,669 11,438,008 5,719,004 2,859,502 1,429,751 4,289,254 2,144,627 6,433,882 3,216,941 9,650,824 4,825,412 2,412,706 1,206,353 3,619,060 1,809,530

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