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Atlas › Integer Profiles › Node 26,314,708

26,314,708

22 × 7 × 17 × 59 × 937
Abundant Even Composite

26,314,708 factors as 2^2 × 7 × 17 × 59 × 937. Its 48 positive divisors give a proper-divisor sum of 30,415,532, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 59 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,730,240
Proper Divisor Sum 30,415,532
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26314703 ← → #26314711

Radix Representation

Decimal 26314708
Binary 1100100011000011111010100 (25 bits)
Octal 0o144303724
Hexadecimal 0x19187D4

Divisor Catalog (48)

1 2 4 7 14 17 28 34 59 68 118 119 236 238 413 476 826 937 1,003 1,652 1,874 2,006 3,748 4,012 6,559 7,021 13,118 14,042 15,929 26,236 28,084 31,858 55,283 63,716 110,566 111,503 221,132 223,006 386,981 446,012 773,962 939,811 1,547,924 1,879,622 3,759,244 6,578,677 13,157,354 26,314,708

Collatz Trajectory (149 steps to reach 1)

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

26,314,708 13,157,354 6,578,677 19,736,032 9,868,016 4,934,008 2,467,004 1,233,502 616,751 1,850,254 925,127 2,775,382 1,387,691 4,163,074 2,081,537 6,244,612 3,122,306 1,561,153 4,683,460 2,341,730 1,170,865 3,512,596 1,756,298 878,149 2,634,448 1,317,224 658,612 329,306 164,653 493,960 246,980 123,490 61,745 185,236 92,618 46,309 138,928 69,464 34,732 17,366 8,683 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823

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