82,630,516

2² × 743 × 27803

82,630,516 factors as 2^2 × 743 × 27803. Its 12 positive divisors give a proper-divisor sum of 62,172,716, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 743 × 27803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 144,803,232

Proper Divisor Sum 62,172,716

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #82630511 ← → #82630519

Radix Representation

Decimal	82630516
Binary	100111011001101011101110100 (27 bits)
Octal	0o473153564
Hexadecimal	0x4ECD774

Divisor Catalog (12)

1 2 4 743 1,486 2,972 27,803 55,606 111,212 20,657,629 41,315,258 82,630,516

Collatz Trajectory (104 steps to reach 1)

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

82,630,516 41,315,258 20,657,629 61,972,888 30,986,444 15,493,222 7,746,611 23,239,834 11,619,917 34,859,752 17,429,876 8,714,938 4,357,469 13,072,408 6,536,204 3,268,102 1,634,051 4,902,154 2,451,077 7,353,232 3,676,616 1,838,308 919,154 459,577 1,378,732 689,366 344,683 1,034,050 517,025 1,551,076 775,538 387,769 1,163,308 581,654 290,827 872,482 436,241 1,308,724 654,362 327,181 981,544 490,772 245,386 122,693 368,080 184,040 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560

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