61,379,800

2³ × 5² × 306899

61,379,800 factors as 2^3 × 5^2 × 306899. Its 24 positive divisors give a proper-divisor sum of 81,328,700, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 306899

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 142,708,500

Proper Divisor Sum 81,328,700

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #61379771 ← → #61379807

Radix Representation

Decimal	61379800
Binary	11101010001001010011011000 (26 bits)
Octal	0o352112330
Hexadecimal	0x3A894D8

Divisor Catalog (24)

Collatz Trajectory (251 steps to reach 1)

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

61,379,800 30,689,900 15,344,950 7,672,475 23,017,426 11,508,713 34,526,140 17,263,070 8,631,535 25,894,606 12,947,303 38,841,910 19,420,955 58,262,866 29,131,433 87,394,300 43,697,150 21,848,575 65,545,726 32,772,863 98,318,590 49,159,295 147,477,886 73,738,943 221,216,830 110,608,415 331,825,246 165,912,623 497,737,870 248,868,935 746,606,806 373,303,403 1,119,910,210 559,955,105 1,679,865,316 839,932,658 419,966,329 1,259,898,988 629,949,494 314,974,747 944,924,242 472,462,121 1,417,386,364 708,693,182 354,346,591 1,063,039,774 531,519,887 1,594,559,662 797,279,831 2,391,839,494 1,195,919,747 3,587,759,242 1,793,879,621 5,381,638,864 2,690,819,432 1,345,409,716 672,704,858 336,352,429 1,009,057,288 504,528,644

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