32,100,725

5² × 193 × 6653

32,100,725 factors as 5^2 × 193 × 6653. Its 12 positive divisors give a proper-divisor sum of 7,916,431, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 5^2 × 193 × 6653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 40,017,156

Proper Divisor Sum 7,916,431

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #32100713 ← → #32100727

Radix Representation

Decimal	32100725
Binary	1111010011101000101110101 (25 bits)
Octal	0o172350565
Hexadecimal	0x1E9D175

Divisor Catalog (12)

1 5 25 193 965 4,825 6,653 33,265 166,325 1,284,029 6,420,145 32,100,725

Collatz Trajectory (144 steps to reach 1)

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

32,100,725 96,302,176 48,151,088 24,075,544 12,037,772 6,018,886 3,009,443 9,028,330 4,514,165 13,542,496 6,771,248 3,385,624 1,692,812 846,406 423,203 1,269,610 634,805 1,904,416 952,208 476,104 238,052 119,026 59,513 178,540 89,270 44,635 133,906 66,953 200,860 100,430 50,215 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938

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