27,724,630

2 × 5 × 157 × 17659

27,724,630 factors as 2 × 5 × 157 × 17659. Its 16 positive divisors give a proper-divisor sum of 22,500,410, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 5 × 157 × 17659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,225,040

Proper Divisor Sum 22,500,410

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27724607 ← → #27724639

Radix Representation

Decimal	27724630
Binary	1101001110000101101010110 (25 bits)
Octal	0o151605526
Hexadecimal	0x1A70B56

Divisor Catalog (16)

1 2 5 10 157 314 785 1,570 17,659 35,318 88,295 176,590 2,772,463 5,544,926 13,862,315 27,724,630

Collatz Trajectory (131 steps to reach 1)

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

27,724,630 13,862,315 41,586,946 20,793,473 62,380,420 31,190,210 15,595,105 46,785,316 23,392,658 11,696,329 35,088,988 17,544,494 8,772,247 26,316,742 13,158,371 39,475,114 19,737,557 59,212,672 29,606,336 14,803,168 7,401,584 3,700,792 1,850,396 925,198 462,599 1,387,798 693,899 2,081,698 1,040,849 3,122,548 1,561,274 780,637 2,341,912 1,170,956 585,478 292,739 878,218 439,109 1,317,328 658,664 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850

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