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Atlas › Integer Profiles › Node 26,324,784

26,324,784

24 × 33 × 60937
Abundant Even Composite

26,324,784 factors as 2^4 × 3^3 × 60937. Its 40 positive divisors give a proper-divisor sum of 49,238,336, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 60937
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 75,563,120
Proper Divisor Sum 49,238,336
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26324783 ← → #26324807

Radix Representation

Decimal 26324784
Binary 1100100011010111100110000 (25 bits)
Octal 0o144327460
Hexadecimal 0x191AF30

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 60,937 121,874 182,811 243,748 365,622 487,496 548,433 731,244 974,992 1,096,866 1,462,488 1,645,299 2,193,732 2,924,976 3,290,598 4,387,464 6,581,196 8,774,928 13,162,392 26,324,784

Collatz Trajectory (149 steps to reach 1)

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

26,324,784 13,162,392 6,581,196 3,290,598 1,645,299 4,935,898 2,467,949 7,403,848 3,701,924 1,850,962 925,481 2,776,444 1,388,222 694,111 2,082,334 1,041,167 3,123,502 1,561,751 4,685,254 2,342,627 7,027,882 3,513,941 10,541,824 5,270,912 2,635,456 1,317,728 658,864 329,432 164,716 82,358 41,179 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639

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