61,509,736

2³ × 227 × 33871

61,509,736 factors as 2^3 × 227 × 33871. Its 16 positive divisors give a proper-divisor sum of 54,332,504, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 227 × 33871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 115,842,240

Proper Divisor Sum 54,332,504

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #61509703 ← → #61509739

Radix Representation

Decimal	61509736
Binary	11101010101001000001101000 (26 bits)
Octal	0o352510150
Hexadecimal	0x3AA9068

Divisor Catalog (16)

1 2 4 8 227 454 908 1,816 33,871 67,742 135,484 270,968 7,688,717 15,377,434 30,754,868 61,509,736

Collatz Trajectory (176 steps to reach 1)

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

61,509,736 30,754,868 15,377,434 7,688,717 23,066,152 11,533,076 5,766,538 2,883,269 8,649,808 4,324,904 2,162,452 1,081,226 540,613 1,621,840 810,920 405,460 202,730 101,365 304,096 152,048 76,024 38,012 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844

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