8,637,225

3 × 5² × 115163

8,637,225 factors as 3 × 5^2 × 115163. Its 12 positive divisors give a proper-divisor sum of 5,643,111, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 115163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,280,336

Proper Divisor Sum 5,643,111

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8637203 ← → #8637227

Radix Representation

Decimal	8637225
Binary	100000111100101100101001 (24 bits)
Octal	0o40745451
Hexadecimal	0x83CB29

Divisor Catalog (12)

1 3 5 15 25 75 115,163 345,489 575,815 1,727,445 2,879,075 8,637,225

Collatz Trajectory (243 steps to reach 1)

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

8,637,225 25,911,676 12,955,838 6,477,919 19,433,758 9,716,879 29,150,638 14,575,319 43,725,958 21,862,979 65,588,938 32,794,469 98,383,408 49,191,704 24,595,852 12,297,926 6,148,963 18,446,890 9,223,445 27,670,336 13,835,168 6,917,584 3,458,792 1,729,396 864,698 432,349 1,297,048 648,524 324,262 162,131 486,394 243,197 729,592 364,796 182,398 91,199 273,598 136,799 410,398 205,199 615,598 307,799 923,398 461,699 1,385,098 692,549 2,077,648 1,038,824 519,412 259,706 129,853 389,560 194,780 97,390 48,695 146,086 73,043 219,130 109,565 328,696

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