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Atlas › Integer Profiles › Node 6,588,112

6,588,112

24 × 17 × 53 × 457
Abundant Even Composite

6,588,112 factors as 2^4 × 17 × 53 × 457. Its 40 positive divisors give a proper-divisor sum of 7,212,344, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 53 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,800,456
Proper Divisor Sum 7,212,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6588107 ← → #6588119

Radix Representation

Decimal 6588112
Binary 11001001000011011010000 (23 bits)
Octal 0o31103320
Hexadecimal 0x6486D0

Divisor Catalog (40)

1 2 4 8 16 17 34 53 68 106 136 212 272 424 457 848 901 914 1,802 1,828 3,604 3,656 7,208 7,312 7,769 14,416 15,538 24,221 31,076 48,442 62,152 96,884 124,304 193,768 387,536 411,757 823,514 1,647,028 3,294,056 6,588,112

Collatz Trajectory (121 steps to reach 1)

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

6,588,112 3,294,056 1,647,028 823,514 411,757 1,235,272 617,636 308,818 154,409 463,228 231,614 115,807 347,422 173,711 521,134 260,567 781,702 390,851 1,172,554 586,277 1,758,832 879,416 439,708 219,854 109,927 329,782 164,891 494,674 247,337 742,012 371,006 185,503 556,510 278,255 834,766 417,383 1,252,150 626,075 1,878,226 939,113 2,817,340 1,408,670 704,335 2,113,006 1,056,503 3,169,510 1,584,755 4,754,266 2,377,133 7,131,400 3,565,700 1,782,850 891,425 2,674,276 1,337,138 668,569 2,005,708 1,002,854 501,427 1,504,282

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