768,036

2² × 3 × 29 × 2207

768,036 factors as 2^2 × 3 × 29 × 2207. Its 24 positive divisors give a proper-divisor sum of 1,086,684, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 2207

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,854,720

Proper Divisor Sum 1,086,684

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #768029 ← → #768041

Radix Representation

Decimal	768036
Binary	10111011100000100100 (20 bits)
Octal	0o2734044
Hexadecimal	0xBB824

Divisor Catalog (24)

Collatz Trajectory (224 steps to reach 1)

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

768,036 384,018 192,009 576,028 288,014 144,007 432,022 216,011 648,034 324,017 972,052 486,026 243,013 729,040 364,520 182,260 91,130 45,565 136,696 68,348 34,174 17,087 51,262 25,631 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231

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