8,624,232

2³ × 3⁴ × 13309

For 8,624,232, the 40 positive divisors have a total of 24,157,650. Removing 8,624,232 leaves 15,533,418, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13309

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 24,157,650

Proper Divisor Sum 15,533,418

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8624221 ← → #8624237

Radix Representation

Decimal	8624232
Binary	100000111001100001101000 (24 bits)
Octal	0o40714150
Hexadecimal	0x839868

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 13,309 26,618 39,927 53,236 79,854 106,472 119,781 159,708 239,562 319,416 359,343 479,124 718,686 958,248 1,078,029 1,437,372 2,156,058 2,874,744 4,312,116 8,624,232

Collatz Trajectory (75 steps to reach 1)

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

8,624,232 4,312,116 2,156,058 1,078,029 3,234,088 1,617,044 808,522 404,261 1,212,784 606,392 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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