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Atlas › Integer Profiles › Node 13,672,280

13,672,280

23 × 5 × 43 × 7949
Abundant Even Composite

13,672,280 factors as 2^3 × 5 × 43 × 7949. Its 32 positive divisors give a proper-divisor sum of 17,809,720, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 7949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,482,000
Proper Divisor Sum 17,809,720
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #13672261 ← → #13672297

Radix Representation

Decimal 13672280
Binary 110100001001111101011000 (24 bits)
Octal 0o64117530
Hexadecimal 0xD09F58

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 7,949 15,898 31,796 39,745 63,592 79,490 158,980 317,960 341,807 683,614 1,367,228 1,709,035 2,734,456 3,418,070 6,836,140 13,672,280

Collatz Trajectory (135 steps to reach 1)

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

13,672,280 6,836,140 3,418,070 1,709,035 5,127,106 2,563,553 7,690,660 3,845,330 1,922,665 5,767,996 2,883,998 1,441,999 4,325,998 2,162,999 6,488,998 3,244,499 9,733,498 4,866,749 14,600,248 7,300,124 3,650,062 1,825,031 5,475,094 2,737,547 8,212,642 4,106,321 12,318,964 6,159,482 3,079,741 9,239,224 4,619,612 2,309,806 1,154,903 3,464,710 1,732,355 5,197,066 2,598,533 7,795,600 3,897,800 1,948,900 974,450 487,225 1,461,676 730,838 365,419 1,096,258 548,129 1,644,388 822,194 411,097 1,233,292 616,646 308,323 924,970 462,485 1,387,456 693,728 346,864 173,432 86,716

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