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61,664,800

25 × 52 × 77081
Abundant Even Composite

61,664,800 factors as 2^5 × 5^2 × 77081. Its 36 positive divisors give a proper-divisor sum of 88,876,346, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 77081
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 150,541,146
Proper Divisor Sum 88,876,346
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61664791 ← → #61664809

Radix Representation

Decimal 61664800
Binary 11101011001110111000100000 (26 bits)
Octal 0o353167040
Hexadecimal 0x3ACEE20

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 77,081 154,162 308,324 385,405 616,648 770,810 1,233,296 1,541,620 1,927,025 2,466,592 3,083,240 3,854,050 6,166,480 7,708,100 12,332,960 15,416,200 30,832,400 61,664,800

Collatz Trajectory (220 steps to reach 1)

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

61,664,800 30,832,400 15,416,200 7,708,100 3,854,050 1,927,025 5,781,076 2,890,538 1,445,269 4,335,808 2,167,904 1,083,952 541,976 270,988 135,494 67,747 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200

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