9,722,232

2³ × 3² × 13² × 17 × 47

9,722,232 factors as 2^3 × 3^2 × 13^2 × 17 × 47. Its 144 positive divisors give a proper-divisor sum of 21,109,608, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13^2 × 17 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 30,831,840

Proper Divisor Sum 21,109,608

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9722203 ← → #9722233

Radix Representation

Decimal	9722232
Binary	100101000101100101111000 (24 bits)
Octal	0o45054570
Hexadecimal	0x945978

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 47 51 52 68 72 78 94 102 104 117 136 141 153 156 169 188 204 221 234 282 306 312 338 376 408 423 442 468 507 564 611 612 663 676 799 846 884 936 1,014 1,128 1,222 1,224 1,326 1,352

Collatz Trajectory (62 steps to reach 1)

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

9,722,232 4,861,116 2,430,558 1,215,279 3,645,838 1,822,919 5,468,758 2,734,379 8,203,138 4,101,569 12,304,708 6,152,354 3,076,177 9,228,532 4,614,266 2,307,133 6,921,400 3,460,700 1,730,350 865,175 2,595,526 1,297,763 3,893,290 1,946,645 5,839,936 2,919,968 1,459,984 729,992 364,996 182,498 91,249 273,748 136,874 68,437 205,312 102,656 51,328 25,664 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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