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6,231,864

23 × 3 × 73 × 3557
Abundant Even Composite

6,231,864 factors as 2^3 × 3 × 73 × 3557. Its 32 positive divisors give a proper-divisor sum of 9,565,656, so this integer is abundant. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 73 × 3557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,797,520
Proper Divisor Sum 9,565,656
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6231859 ← → #6231887

Radix Representation

Decimal 6231864
Binary 10111110001011100111000 (23 bits)
Octal 0o27613470
Hexadecimal 0x5F1738

Divisor Catalog (32)

1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1,752 3,557 7,114 10,671 14,228 21,342 28,456 42,684 85,368 259,661 519,322 778,983 1,038,644 1,557,966 2,077,288 3,115,932 6,231,864

Collatz Trajectory (302 steps to reach 1)

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

6,231,864 3,115,932 1,557,966 778,983 2,336,950 1,168,475 3,505,426 1,752,713 5,258,140 2,629,070 1,314,535 3,943,606 1,971,803 5,915,410 2,957,705 8,873,116 4,436,558 2,218,279 6,654,838 3,327,419 9,982,258 4,991,129 14,973,388 7,486,694 3,743,347 11,230,042 5,615,021 16,845,064 8,422,532 4,211,266 2,105,633 6,316,900 3,158,450 1,579,225 4,737,676 2,368,838 1,184,419 3,553,258 1,776,629 5,329,888 2,664,944 1,332,472 666,236 333,118 166,559 499,678 249,839 749,518 374,759 1,124,278 562,139 1,686,418 843,209 2,529,628 1,264,814 632,407 1,897,222 948,611 2,845,834 1,422,917

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