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Atlas › Integer Profiles › Node 13,641,664

13,641,664

26 × 43 × 4957
Abundant Even Composite

13,641,664 factors as 2^6 × 43 × 4957. Its 28 positive divisors give a proper-divisor sum of 14,063,640, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^6 × 43 × 4957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 27,705,304
Proper Divisor Sum 14,063,640
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13641637 ← → #13641671

Radix Representation

Decimal 13641664
Binary 110100000010011111000000 (24 bits)
Octal 0o64023700
Hexadecimal 0xD027C0

Divisor Catalog (28)

1 2 4 8 16 32 43 64 86 172 344 688 1,376 2,752 4,957 9,914 19,828 39,656 79,312 158,624 213,151 317,248 426,302 852,604 1,705,208 3,410,416 6,820,832 13,641,664

Collatz Trajectory (130 steps to reach 1)

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

13,641,664 6,820,832 3,410,416 1,705,208 852,604 426,302 213,151 639,454 319,727 959,182 479,591 1,438,774 719,387 2,158,162 1,079,081 3,237,244 1,618,622 809,311 2,427,934 1,213,967 3,641,902 1,820,951 5,462,854 2,731,427 8,194,282 4,097,141 12,291,424 6,145,712 3,072,856 1,536,428 768,214 384,107 1,152,322 576,161 1,728,484 864,242 432,121 1,296,364 648,182 324,091 972,274 486,137 1,458,412 729,206 364,603 1,093,810 546,905 1,640,716 820,358 410,179 1,230,538 615,269 1,845,808 922,904 461,452 230,726 115,363 346,090 173,045 519,136

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