9,624,531

3 × 7² × 233 × 281

9,624,531 factors as 3 × 7^2 × 233 × 281. Its 24 positive divisors give a proper-divisor sum of 5,420,733, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 233 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,045,264

Proper Divisor Sum 5,420,733

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9624529 ← → #9624541

Radix Representation

Decimal	9624531
Binary	100100101101101111010011 (24 bits)
Octal	0o44555723
Hexadecimal	0x92DBD3

Divisor Catalog (24)

1 3 7 21 49 147 233 281 699 843 1,631 1,967 4,893 5,901 11,417 13,769 34,251 41,307 65,473 196,419 458,311 1,374,933 3,208,177 9,624,531

Collatz Trajectory (176 steps to reach 1)

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

9,624,531 28,873,594 14,436,797 43,310,392 21,655,196 10,827,598 5,413,799 16,241,398 8,120,699 24,362,098 12,181,049 36,543,148 18,271,574 9,135,787 27,407,362 13,703,681 41,111,044 20,555,522 10,277,761 30,833,284 15,416,642 7,708,321 23,124,964 11,562,482 5,781,241 17,343,724 8,671,862 4,335,931 13,007,794 6,503,897 19,511,692 9,755,846 4,877,923 14,633,770 7,316,885 21,950,656 10,975,328 5,487,664 2,743,832 1,371,916 685,958 342,979 1,028,938 514,469 1,543,408 771,704 385,852 192,926 96,463 289,390 144,695 434,086 217,043 651,130 325,565 976,696 488,348 244,174 122,087 366,262

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