61,461,376

2⁷ × 480167

61,461,376 factors as 2^7 × 480167. Its 16 positive divisors give a proper-divisor sum of 60,981,464, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^7 × 480167

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 122,442,840

Proper Divisor Sum 60,981,464

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #61461373 ← → #61461427

Radix Representation

Decimal	61461376
Binary	11101010011101001110000000 (26 bits)
Octal	0o352351600
Hexadecimal	0x3A9D380

Divisor Catalog (16)

1 2 4 8 16 32 64 128 480,167 960,334 1,920,668 3,841,336 7,682,672 15,365,344 30,730,688 61,461,376

Collatz Trajectory (101 steps to reach 1)

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

61,461,376 30,730,688 15,365,344 7,682,672 3,841,336 1,920,668 960,334 480,167 1,440,502 720,251 2,160,754 1,080,377 3,241,132 1,620,566 810,283 2,430,850 1,215,425 3,646,276 1,823,138 911,569 2,734,708 1,367,354 683,677 2,051,032 1,025,516 512,758 256,379 769,138 384,569 1,153,708 576,854 288,427 865,282 432,641 1,297,924 648,962 324,481 973,444 486,722 243,361 730,084 365,042 182,521 547,564 273,782 136,891 410,674 205,337 616,012 308,006 154,003 462,010 231,005 693,016 346,508 173,254 86,627 259,882 129,941 389,824

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