8,764,800

2⁷ × 3 × 5² × 11 × 83

8,764,800 factors as 2^7 × 3 × 5^2 × 11 × 83. Its 192 positive divisors give a proper-divisor sum of 23,108,160, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 11 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 31,872,960

Proper Divisor Sum 23,108,160

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8764787 ← → #8764801

Radix Representation

Decimal	8764800
Binary	100001011011110110000000 (24 bits)
Octal	0o41336600
Hexadecimal	0x85BD80

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 83 88 96 100 110 120 128 132 150 160 165 166 176 192 200 220 240 249 264 275 300 320 330 332 352 384 400 415 440 480 498

Collatz Trajectory (93 steps to reach 1)

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

8,764,800 4,382,400 2,191,200 1,095,600 547,800 273,900 136,950 68,475 205,426 102,713 308,140 154,070 77,035 231,106 115,553 346,660 173,330 86,665 259,996 129,998 64,999 194,998 97,499 292,498 146,249 438,748 219,374 109,687 329,062 164,531 493,594 246,797 740,392 370,196 185,098 92,549 277,648 138,824 69,412 34,706 17,353 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268

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