λ
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13,640,930

2 × 5 × 31 × 79 × 557
Deficient Even Composite

13,640,930 factors as 2 × 5 × 31 × 79 × 557. Its 32 positive divisors give a proper-divisor sum of 12,071,710, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 79 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,712,640
Proper Divisor Sum 12,071,710
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13640911 ← → #13640947

Radix Representation

Decimal 13640930
Binary 110100000010010011100010 (24 bits)
Octal 0o64022342
Hexadecimal 0xD024E2

Divisor Catalog (32)

1 2 5 10 31 62 79 155 158 310 395 557 790 1,114 2,449 2,785 4,898 5,570 12,245 17,267 24,490 34,534 44,003 86,335 88,006 172,670 220,015 440,030 1,364,093 2,728,186 6,820,465 13,640,930

Collatz Trajectory (215 steps to reach 1)

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

13,640,930 6,820,465 20,461,396 10,230,698 5,115,349 15,346,048 7,673,024 3,836,512 1,918,256 959,128 479,564 239,782 119,891 359,674 179,837 539,512 269,756 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524

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