8,625,564

2² × 3² × 31 × 59 × 131

8,625,564 has digital root 9. The neighboring primes are 8625559 and 8625587; its proper-divisor sum differs from the starting integer by 5,811,912.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 59 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,063,040

Proper Divisor Sum 14,437,476

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8625559 ← → #8625587

Radix Representation

Decimal	8625564
Binary	100000111001110110011100 (24 bits)
Octal	0o40716634
Hexadecimal	0x839D9C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 131 177 186 236 262 279 354 372 393 524 531 558 708 786 1,062 1,116 1,179 1,572 1,829 2,124 2,358 3,658 4,061 4,716 5,487 7,316 7,729 8,122 10,974 12,183 15,458 16,244 16,461 21,948 23,187 24,366 30,916 32,922 36,549 46,374 48,732 65,844 69,561 73,098 92,748

Collatz Trajectory (124 steps to reach 1)

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

8,625,564 4,312,782 2,156,391 6,469,174 3,234,587 9,703,762 4,851,881 14,555,644 7,277,822 3,638,911 10,916,734 5,458,367 16,375,102 8,187,551 24,562,654 12,281,327 36,843,982 18,421,991 55,265,974 27,632,987 82,898,962 41,449,481 124,348,444 62,174,222 31,087,111 93,261,334 46,630,667 139,892,002 69,946,001 209,838,004 104,919,002 52,459,501 157,378,504 78,689,252 39,344,626 19,672,313 59,016,940 29,508,470 14,754,235 44,262,706 22,131,353 66,394,060 33,197,030 16,598,515 49,795,546 24,897,773 74,693,320 37,346,660 18,673,330 9,336,665 28,009,996 14,004,998 7,002,499 21,007,498 10,503,749 31,511,248 15,755,624 7,877,812 3,938,906 1,969,453

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