9,569,232

2⁴ × 3³ × 17 × 1303

9,569,232 factors as 2^4 × 3^3 × 17 × 1303. Its 80 positive divisors give a proper-divisor sum of 19,536,048, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 17 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 29,105,280

Proper Divisor Sum 19,536,048

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9569221 ← → #9569233

Radix Representation

Decimal	9569232
Binary	100100100000001111010000 (24 bits)
Octal	0o44401720
Hexadecimal	0x9203D0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1,224 1,303 1,836 2,448 2,606 3,672 3,909 5,212 7,344 7,818 10,424 11,727 15,636 20,848 22,151 23,454 31,272 35,181 44,302 46,908 62,544 66,453 70,362 88,604 93,816

Collatz Trajectory (101 steps to reach 1)

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

9,569,232 4,784,616 2,392,308 1,196,154 598,077 1,794,232 897,116 448,558 224,279 672,838 336,419 1,009,258 504,629 1,513,888 756,944 378,472 189,236 94,618 47,309 141,928 70,964 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687

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