80,929,527

3 × 7² × 550541

80,929,527 factors as 3 × 7^2 × 550541. Its 12 positive divisors give a proper-divisor sum of 44,594,049, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 550541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 125,523,576

Proper Divisor Sum 44,594,049

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #80929523 ← → #80929529

Radix Representation

Decimal	80929527
Binary	100110100101110001011110111 (27 bits)
Octal	0o464561367
Hexadecimal	0x4D2E2F7

Divisor Catalog (12)

1 3 7 21 49 147 550,541 1,651,623 3,853,787 11,561,361 26,976,509 80,929,527

Collatz Trajectory (166 steps to reach 1)

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

80,929,527 242,788,582 121,394,291 364,182,874 182,091,437 546,274,312 273,137,156 136,568,578 68,284,289 204,852,868 102,426,434 51,213,217 153,639,652 76,819,826 38,409,913 115,229,740 57,614,870 28,807,435 86,422,306 43,211,153 129,633,460 64,816,730 32,408,365 97,225,096 48,612,548 24,306,274 12,153,137 36,459,412 18,229,706 9,114,853 27,344,560 13,672,280 6,836,140 3,418,070 1,709,035 5,127,106 2,563,553 7,690,660 3,845,330 1,922,665 5,767,996 2,883,998 1,441,999 4,325,998 2,162,999 6,488,998 3,244,499 9,733,498 4,866,749 14,600,248 7,300,124 3,650,062 1,825,031 5,475,094 2,737,547 8,212,642 4,106,321 12,318,964 6,159,482 3,079,741

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