10,251,325

5² × 7 × 58579

10,251,325 factors as 5^2 × 7 × 58579. Its 12 positive divisors give a proper-divisor sum of 4,276,515, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 58579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,527,840

Proper Divisor Sum 4,276,515

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10251229 ← → #10251337

Radix Representation

Decimal	10251325
Binary	100111000110110000111101 (24 bits)
Octal	0o47066075
Hexadecimal	0x9C6C3D

Divisor Catalog (12)

1 5 7 25 35 175 58,579 292,895 410,053 1,464,475 2,050,265 10,251,325

Collatz Trajectory (176 steps to reach 1)

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

10,251,325 30,753,976 15,376,988 7,688,494 3,844,247 11,532,742 5,766,371 17,299,114 8,649,557 25,948,672 12,974,336 6,487,168 3,243,584 1,621,792 810,896 405,448 202,724 101,362 50,681 152,044 76,022 38,011 114,034 57,017 171,052 85,526 42,763 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840

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