9,972,025

5² × 7 × 56983

9,972,025 factors as 5^2 × 7 × 56983. Its 12 positive divisors give a proper-divisor sum of 4,160,007, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 56983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,132,032

Proper Divisor Sum 4,160,007

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9972023 ← → #9972029

Radix Representation

Decimal	9972025
Binary	100110000010100100111001 (24 bits)
Octal	0o46024471
Hexadecimal	0x982939

Divisor Catalog (12)

1 5 7 25 35 175 56,983 284,915 398,881 1,424,575 1,994,405 9,972,025

Collatz Trajectory (189 steps to reach 1)

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

9,972,025 29,916,076 14,958,038 7,479,019 22,437,058 11,218,529 33,655,588 16,827,794 8,413,897 25,241,692 12,620,846 6,310,423 18,931,270 9,465,635 28,396,906 14,198,453 42,595,360 21,297,680 10,648,840 5,324,420 2,662,210 1,331,105 3,993,316 1,996,658 998,329 2,994,988 1,497,494 748,747 2,246,242 1,123,121 3,369,364 1,684,682 842,341 2,527,024 1,263,512 631,756 315,878 157,939 473,818 236,909 710,728 355,364 177,682 88,841 266,524 133,262 66,631 199,894 99,947 299,842 149,921 449,764 224,882 112,441 337,324 168,662 84,331 252,994 126,497 379,492

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