27,287,246

2 × 7 × 23 × 83 × 1021

27,287,246 factors as 2 × 7 × 23 × 83 × 1021. Its 32 positive divisors give a proper-divisor sum of 22,161,202, so this integer is deficient. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 83 × 1021

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 49,448,448

Proper Divisor Sum 22,161,202

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27287243 ← → #27287251

Radix Representation

Decimal	27287246
Binary	1101000000101111011001110 (25 bits)
Octal	0o150057316
Hexadecimal	0x1A05ECE

Divisor Catalog (32)

Collatz Trajectory (330 steps to reach 1)

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

27,287,246 13,643,623 40,930,870 20,465,435 61,396,306 30,698,153 92,094,460 46,047,230 23,023,615 69,070,846 34,535,423 103,606,270 51,803,135 155,409,406 77,704,703 233,114,110 116,557,055 349,671,166 174,835,583 524,506,750 262,253,375 786,760,126 393,380,063 1,180,140,190 590,070,095 1,770,210,286 885,105,143 2,655,315,430 1,327,657,715 3,982,973,146 1,991,486,573 5,974,459,720 2,987,229,860 1,493,614,930 746,807,465 2,240,422,396 1,120,211,198 560,105,599 1,680,316,798 840,158,399 2,520,475,198 1,260,237,599 3,780,712,798 1,890,356,399 5,671,069,198 2,835,534,599 8,506,603,798 4,253,301,899 12,759,905,698 6,379,952,849 19,139,858,548 9,569,929,274 4,784,964,637 14,354,893,912 7,177,446,956 3,588,723,478 1,794,361,739 5,383,085,218 2,691,542,609 8,074,627,828

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