15,831,714

2 × 3 × 257 × 10267

15,831,714 factors as 2 × 3 × 257 × 10267. Its 16 positive divisors give a proper-divisor sum of 15,958,014, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 3 × 257 × 10267

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 31,789,728

Proper Divisor Sum 15,958,014

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #15831713 ← → #15831719

Radix Representation

Decimal	15831714
Binary	111100011001001010100010 (24 bits)
Octal	0o74311242
Hexadecimal	0xF192A2

Divisor Catalog (16)

1 2 3 6 257 514 771 1,542 10,267 20,534 30,801 61,602 2,638,619 5,277,238 7,915,857 15,831,714

Collatz Trajectory (187 steps to reach 1)

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

15,831,714 7,915,857 23,747,572 11,873,786 5,936,893 17,810,680 8,905,340 4,452,670 2,226,335 6,679,006 3,339,503 10,018,510 5,009,255 15,027,766 7,513,883 22,541,650 11,270,825 33,812,476 16,906,238 8,453,119 25,359,358 12,679,679 38,039,038 19,019,519 57,058,558 28,529,279 85,587,838 42,793,919 128,381,758 64,190,879 192,572,638 96,286,319 288,858,958 144,429,479 433,288,438 216,644,219 649,932,658 324,966,329 974,898,988 487,449,494 243,724,747 731,174,242 365,587,121 1,096,761,364 548,380,682 274,190,341 822,571,024 411,285,512 205,642,756 102,821,378 51,410,689 154,232,068 77,116,034 38,558,017 115,674,052 57,837,026 28,918,513 86,755,540 43,377,770 21,688,885

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