10,510,925

5² × 593 × 709

10,510,925 factors as 5^2 × 593 × 709. Its 12 positive divisors give a proper-divisor sum of 2,563,015, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 5^2 × 593 × 709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,073,940

Proper Divisor Sum 2,563,015

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #10510919 ← → #10510937

Radix Representation

Decimal	10510925
Binary	101000000110001001001101 (24 bits)
Octal	0o50061115
Hexadecimal	0xA0624D

Divisor Catalog (12)

1 5 25 593 709 2,965 3,545 14,825 17,725 420,437 2,102,185 10,510,925

Collatz Trajectory (220 steps to reach 1)

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

10,510,925 31,532,776 15,766,388 7,883,194 3,941,597 11,824,792 5,912,396 2,956,198 1,478,099 4,434,298 2,217,149 6,651,448 3,325,724 1,662,862 831,431 2,494,294 1,247,147 3,741,442 1,870,721 5,612,164 2,806,082 1,403,041 4,209,124 2,104,562 1,052,281 3,156,844 1,578,422 789,211 2,367,634 1,183,817 3,551,452 1,775,726 887,863 2,663,590 1,331,795 3,995,386 1,997,693 5,993,080 2,996,540 1,498,270 749,135 2,247,406 1,123,703 3,371,110 1,685,555 5,056,666 2,528,333 7,585,000 3,792,500 1,896,250 948,125 2,844,376 1,422,188 711,094 355,547 1,066,642 533,321 1,599,964 799,982 399,991

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