10,072,025

5² × 402881

10,072,025 factors as 5^2 × 402881. Its 6 positive divisors give a proper-divisor sum of 2,417,317, so this integer is deficient. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 5^2 × 402881

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,489,342

Proper Divisor Sum 2,417,317

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #10072009 ← → #10072031

Radix Representation

Decimal	10072025
Binary	100110011010111111011001 (24 bits)
Octal	0o46327731
Hexadecimal	0x99AFD9

Divisor Catalog (6)

1 5 25 402,881 2,014,405 10,072,025

Collatz Trajectory (57 steps to reach 1)

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

10,072,025 30,216,076 15,108,038 7,554,019 22,662,058 11,331,029 33,993,088 16,996,544 8,498,272 4,249,136 2,124,568 1,062,284 531,142 265,571 796,714 398,357 1,195,072 597,536 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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