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Atlas › Integer Profiles › Node 26,319,472

26,319,472

24 × 29 × 131 × 433
Abundant Even Composite

26,319,472 factors as 2^4 × 29 × 131 × 433. Its 40 positive divisors give a proper-divisor sum of 26,958,368, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 131 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 53,277,840
Proper Divisor Sum 26,958,368
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26319463 ← → #26319473

Radix Representation

Decimal 26319472
Binary 1100100011001101001110000 (25 bits)
Octal 0o144315160
Hexadecimal 0x1919A70

Divisor Catalog (40)

1 2 4 8 16 29 58 116 131 232 262 433 464 524 866 1,048 1,732 2,096 3,464 3,799 6,928 7,598 12,557 15,196 25,114 30,392 50,228 56,723 60,784 100,456 113,446 200,912 226,892 453,784 907,568 1,644,967 3,289,934 6,579,868 13,159,736 26,319,472

Collatz Trajectory (87 steps to reach 1)

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

26,319,472 13,159,736 6,579,868 3,289,934 1,644,967 4,934,902 2,467,451 7,402,354 3,701,177 11,103,532 5,551,766 2,775,883 8,327,650 4,163,825 12,491,476 6,245,738 3,122,869 9,368,608 4,684,304 2,342,152 1,171,076 585,538 292,769 878,308 439,154 219,577 658,732 329,366 164,683 494,050 247,025 741,076 370,538 185,269 555,808 277,904 138,952 69,476 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130

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