λ
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Atlas › Integer Profiles › Node 13,652,130

13,652,130

2 × 3 × 5 × 107 × 4253
Abundant Even Composite

13,652,130 factors as 2 × 3 × 5 × 107 × 4253. Its 32 positive divisors give a proper-divisor sum of 19,426,974, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 107 × 4253
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,079,104
Proper Divisor Sum 19,426,974
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #13652129 ← → #13652131

Radix Representation

Decimal 13652130
Binary 110100000101000010100010 (24 bits)
Octal 0o64050242
Hexadecimal 0xD050A2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 107 214 321 535 642 1,070 1,605 3,210 4,253 8,506 12,759 21,265 25,518 42,530 63,795 127,590 455,071 910,142 1,365,213 2,275,355 2,730,426 4,550,710 6,826,065 13,652,130

Collatz Trajectory (117 steps to reach 1)

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

13,652,130 6,826,065 20,478,196 10,239,098 5,119,549 15,358,648 7,679,324 3,839,662 1,919,831 5,759,494 2,879,747 8,639,242 4,319,621 12,958,864 6,479,432 3,239,716 1,619,858 809,929 2,429,788 1,214,894 607,447 1,822,342 911,171 2,733,514 1,366,757 4,100,272 2,050,136 1,025,068 512,534 256,267 768,802 384,401 1,153,204 576,602 288,301 864,904 432,452 216,226 108,113 324,340 162,170 81,085 243,256 121,628 60,814 30,407 91,222 45,611 136,834 68,417 205,252 102,626 51,313 153,940 76,970 38,485 115,456 57,728 28,864 14,432

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