8,613,612

2² × 3² × 7² × 19 × 257

8,613,612 factors as 2^2 × 3^2 × 7^2 × 19 × 257. Its 108 positive divisors give a proper-divisor sum of 18,151,308, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 19 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 26,764,920

Proper Divisor Sum 18,151,308

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8613571 ← → #8613617

Radix Representation

Decimal	8613612
Binary	100000110110111011101100 (24 bits)
Octal	0o40667354
Hexadecimal	0x836EEC

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 257 266 294 342 399 441 514 532 588 684 771 798 882 931 1,028 1,197 1,542 1,596 1,764 1,799 1,862 2,313 2,394 2,793 3,084 3,598 3,724 4,626 4,788 4,883

Collatz Trajectory (168 steps to reach 1)

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

8,613,612 4,306,806 2,153,403 6,460,210 3,230,105 9,690,316 4,845,158 2,422,579 7,267,738 3,633,869 10,901,608 5,450,804 2,725,402 1,362,701 4,088,104 2,044,052 1,022,026 511,013 1,533,040 766,520 383,260 191,630 95,815 287,446 143,723 431,170 215,585 646,756 323,378 161,689 485,068 242,534 121,267 363,802 181,901 545,704 272,852 136,426 68,213 204,640 102,320 51,160 25,580 12,790 6,395 19,186 9,593 28,780 14,390 7,195 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646

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