3,709,460

2² × 5 × 31² × 193

3,709,460 factors as 2^2 × 5 × 31^2 × 193. Its 36 positive divisors give a proper-divisor sum of 4,381,504, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31^2 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,090,964

Proper Divisor Sum 4,381,504

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3709457 ← → #3709487

Radix Representation

Decimal	3709460
Binary	1110001001101000010100 (22 bits)
Octal	0o16115024
Hexadecimal	0x389A14

Divisor Catalog (36)

Collatz Trajectory (110 steps to reach 1)

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

3,709,460 1,854,730 927,365 2,782,096 1,391,048 695,524 347,762 173,881 521,644 260,822 130,411 391,234 195,617 586,852 293,426 146,713 440,140 220,070 110,035 330,106 165,053 495,160 247,580 123,790 61,895 185,686 92,843 278,530 139,265 417,796 208,898 104,449 313,348 156,674 78,337 235,012 117,506 58,753 176,260 88,130 44,065 132,196 66,098 33,049 99,148 49,574 24,787 74,362 37,181 111,544 55,772 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530

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