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Atlas › Integer Profiles › Node 6,131,296

6,131,296

25 × 29 × 6607
Abundant Even Composite

6,131,296 factors as 2^5 × 29 × 6607. Its 24 positive divisors give a proper-divisor sum of 6,357,824, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 6607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,489,120
Proper Divisor Sum 6,357,824
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6131239 ← → #6131297

Radix Representation

Decimal 6131296
Binary 10111011000111001100000 (23 bits)
Octal 0o27307140
Hexadecimal 0x5D8E60

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 6,607 13,214 26,428 52,856 105,712 191,603 211,424 383,206 766,412 1,532,824 3,065,648 6,131,296

Collatz Trajectory (165 steps to reach 1)

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

6,131,296 3,065,648 1,532,824 766,412 383,206 191,603 574,810 287,405 862,216 431,108 215,554 107,777 323,332 161,666 80,833 242,500 121,250 60,625 181,876 90,938 45,469 136,408 68,204 34,102 17,051 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893

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