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Atlas › Integer Profiles › Node 13,782,848

13,782,848

26 × 31 × 6947
Abundant Even Composite

13,782,848 factors as 2^6 × 31 × 6947. Its 28 positive divisors give a proper-divisor sum of 14,453,824, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^6 × 31 × 6947
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 28,236,672
Proper Divisor Sum 14,453,824
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #13782841 ← → #13782851

Radix Representation

Decimal 13782848
Binary 110100100100111101000000 (24 bits)
Octal 0o64447500
Hexadecimal 0xD24F40

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,984 6,947 13,894 27,788 55,576 111,152 215,357 222,304 430,714 444,608 861,428 1,722,856 3,445,712 6,891,424 13,782,848

Collatz Trajectory (60 steps to reach 1)

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

13,782,848 6,891,424 3,445,712 1,722,856 861,428 430,714 215,357 646,072 323,036 161,518 80,759 242,278 121,139 363,418 181,709 545,128 272,564 136,282 68,141 204,424 102,212 51,106 25,553 76,660 38,330 19,165 57,496 28,748 14,374 7,187 21,562 10,781 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2

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