13,802,460

2² × 3 × 5 × 7 × 59 × 557

13,802,460 factors as 2^2 × 3 × 5 × 7 × 59 × 557. Its 96 positive divisors give a proper-divisor sum of 31,194,660, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 59 × 557

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 44,997,120

Proper Divisor Sum 31,194,660

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #13802449 ← → #13802483

Radix Representation

Decimal	13802460
Binary	110100101001101111011100 (24 bits)
Octal	0o64515734
Hexadecimal	0xD29BDC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 557 590 708 826 885 1,114 1,180 1,239 1,652 1,671 1,770 2,065 2,228 2,478 2,785 3,342 3,540 3,899 4,130 4,956 5,570 6,195 6,684 7,798 8,260 8,355 11,140 11,697 12,390

Collatz Trajectory (223 steps to reach 1)

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

13,802,460 6,901,230 3,450,615 10,351,846 5,175,923 15,527,770 7,763,885 23,291,656 11,645,828 5,822,914 2,911,457 8,734,372 4,367,186 2,183,593 6,550,780 3,275,390 1,637,695 4,913,086 2,456,543 7,369,630 3,684,815 11,054,446 5,527,223 16,581,670 8,290,835 24,872,506 12,436,253 37,308,760 18,654,380 9,327,190 4,663,595 13,990,786 6,995,393 20,986,180 10,493,090 5,246,545 15,739,636 7,869,818 3,934,909 11,804,728 5,902,364 2,951,182 1,475,591 4,426,774 2,213,387 6,640,162 3,320,081 9,960,244 4,980,122 2,490,061 7,470,184 3,735,092 1,867,546 933,773 2,801,320 1,400,660 700,330 350,165 1,050,496 525,248

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