9,761,625

3² × 5³ × 8677

For 9,761,625, the 24 positive divisors have a total of 17,598,984. Removing 9,761,625 leaves 7,837,359, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 8677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,598,984

Proper Divisor Sum 7,837,359

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9761623 ← → #9761629

Radix Representation

Decimal	9761625
Binary	100101001111001101011001 (24 bits)
Octal	0o45171531
Hexadecimal	0x94F359

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 8,677 26,031 43,385 78,093 130,155 216,925 390,465 650,775 1,084,625 1,952,325 3,253,875 9,761,625

Collatz Trajectory (70 steps to reach 1)

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

9,761,625 29,284,876 14,642,438 7,321,219 21,963,658 10,981,829 32,945,488 16,472,744 8,236,372 4,118,186 2,059,093 6,177,280 3,088,640 1,544,320 772,160 386,080 193,040 96,520 48,260 24,130 12,065 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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