80,964,825

3 × 5² × 1079531

80,964,825 factors as 3 × 5^2 × 1079531. Its 12 positive divisors give a proper-divisor sum of 52,897,143, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 1079531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 133,861,968

Proper Divisor Sum 52,897,143

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #80964823 ← → #80964827

Radix Representation

Decimal	80964825
Binary	100110100110110110011011001 (27 bits)
Octal	0o464666331
Hexadecimal	0x4D36CD9

Divisor Catalog (12)

1 3 5 15 25 75 1,079,531 3,238,593 5,397,655 16,192,965 26,988,275 80,964,825

Collatz Trajectory (161 steps to reach 1)

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

80,964,825 242,894,476 121,447,238 60,723,619 182,170,858 91,085,429 273,256,288 136,628,144 68,314,072 34,157,036 17,078,518 8,539,259 25,617,778 12,808,889 38,426,668 19,213,334 9,606,667 28,820,002 14,410,001 43,230,004 21,615,002 10,807,501 32,422,504 16,211,252 8,105,626 4,052,813 12,158,440 6,079,220 3,039,610 1,519,805 4,559,416 2,279,708 1,139,854 569,927 1,709,782 854,891 2,564,674 1,282,337 3,847,012 1,923,506 961,753 2,885,260 1,442,630 721,315 2,163,946 1,081,973 3,245,920 1,622,960 811,480 405,740 202,870 101,435 304,306 152,153 456,460 228,230 114,115 342,346 171,173 513,520

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