9,640,625

5⁶ × 617

For 9,640,625, the 14 positive divisors have a total of 12,070,158. Removing 9,640,625 leaves 2,429,533, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^6 × 617

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 12,070,158

Proper Divisor Sum 2,429,533

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9640621 ← → #9640627

Radix Representation

Decimal	9640625
Binary	100100110001101010110001 (24 bits)
Octal	0o44615261
Hexadecimal	0x931AB1

Divisor Catalog (14)

1 5 25 125 617 625 3,085 3,125 15,425 15,625 77,125 385,625 1,928,125 9,640,625

Collatz Trajectory (300 steps to reach 1)

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

9,640,625 28,921,876 14,460,938 7,230,469 21,691,408 10,845,704 5,422,852 2,711,426 1,355,713 4,067,140 2,033,570 1,016,785 3,050,356 1,525,178 762,589 2,287,768 1,143,884 571,942 285,971 857,914 428,957 1,286,872 643,436 321,718 160,859 482,578 241,289 723,868 361,934 180,967 542,902 271,451 814,354 407,177 1,221,532 610,766 305,383 916,150 458,075 1,374,226 687,113 2,061,340 1,030,670 515,335 1,546,006 773,003 2,319,010 1,159,505 3,478,516 1,739,258 869,629 2,608,888 1,304,444 652,222 326,111 978,334 489,167 1,467,502 733,751 2,201,254

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