89,176,464

2⁴ × 3⁴ × 13 × 67 × 79

89,176,464 factors as 2^4 × 3^4 × 13 × 67 × 79. Its 200 positive divisors give a proper-divisor sum of 196,499,696, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 13 × 67 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 285,676,160

Proper Divisor Sum 196,499,696

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #89176463 ← → #89176469

Radix Representation

Decimal	89176464
Binary	101010100001011100110010000 (27 bits)
Octal	0o524134620
Hexadecimal	0x550B990

Divisor Catalog (60 of 200)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 79 81 104 108 117 134 144 156 158 162 201 208 216 234 237 268 312 316 324 351 402 432 468 474 536 603 624 632 648 702 711 804 871 936 948 1,027 1,053 1,072

Collatz Trajectory (205 steps to reach 1)

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

89,176,464 44,588,232 22,294,116 11,147,058 5,573,529 16,720,588 8,360,294 4,180,147 12,540,442 6,270,221 18,810,664 9,405,332 4,702,666 2,351,333 7,054,000 3,527,000 1,763,500 881,750 440,875 1,322,626 661,313 1,983,940 991,970 495,985 1,487,956 743,978 371,989 1,115,968 557,984 278,992 139,496 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620

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