27,214,727

23 × 811 × 1459

27,214,727 factors as 23 × 811 × 1459. Its 8 positive divisors give a proper-divisor sum of 1,237,753, so this integer is deficient. The Collatz stopping time is 317 steps.

Prime Factor Structure

Factorization String 23 × 811 × 1459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 28,452,480

Proper Divisor Sum 1,237,753

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #27214717 ← → #27214729

Radix Representation

Decimal	27214727
Binary	1100111110100001110000111 (25 bits)
Octal	0o147641607
Hexadecimal	0x19F4387

Divisor Catalog (8)

1 23 811 1,459 18,653 33,557 1,183,249 27,214,727

Collatz Trajectory (317 steps to reach 1)

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

27,214,727 81,644,182 40,822,091 122,466,274 61,233,137 183,699,412 91,849,706 45,924,853 137,774,560 68,887,280 34,443,640 17,221,820 8,610,910 4,305,455 12,916,366 6,458,183 19,374,550 9,687,275 29,061,826 14,530,913 43,592,740 21,796,370 10,898,185 32,694,556 16,347,278 8,173,639 24,520,918 12,260,459 36,781,378 18,390,689 55,172,068 27,586,034 13,793,017 41,379,052 20,689,526 10,344,763 31,034,290 15,517,145 46,551,436 23,275,718 11,637,859 34,913,578 17,456,789 52,370,368 26,185,184 13,092,592 6,546,296 3,273,148 1,636,574 818,287 2,454,862 1,227,431 3,682,294 1,841,147 5,523,442 2,761,721 8,285,164 4,142,582 2,071,291 6,213,874

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