65,317,410

2 × 3² × 5 × 725749

65,317,410 factors as 2 × 3^2 × 5 × 725749. Its 24 positive divisors give a proper-divisor sum of 104,508,090, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 725749

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 169,825,500

Proper Divisor Sum 104,508,090

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #65317409 ← → #65317411

Radix Representation

Decimal	65317410
Binary	11111001001010101000100010 (26 bits)
Octal	0o371125042
Hexadecimal	0x3E4AA22

Divisor Catalog (24)

Collatz Trajectory (127 steps to reach 1)

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

65,317,410 32,658,705 97,976,116 48,988,058 24,494,029 73,482,088 36,741,044 18,370,522 9,185,261 27,555,784 13,777,892 6,888,946 3,444,473 10,333,420 5,166,710 2,583,355 7,750,066 3,875,033 11,625,100 5,812,550 2,906,275 8,718,826 4,359,413 13,078,240 6,539,120 3,269,560 1,634,780 817,390 408,695 1,226,086 613,043 1,839,130 919,565 2,758,696 1,379,348 689,674 344,837 1,034,512 517,256 258,628 129,314 64,657 193,972 96,986 48,493 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052

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