10,005,331

7 × 433 × 3301

10,005,331 factors as 7 × 433 × 3301. Its 8 positive divisors give a proper-divisor sum of 1,459,213, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 7 × 433 × 3301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,464,544

Proper Divisor Sum 1,459,213

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #10005329 ← → #10005337

Radix Representation

Decimal	10005331
Binary	100110001010101101010011 (24 bits)
Octal	0o46125523
Hexadecimal	0x98AB53

Divisor Catalog (8)

1 7 433 3,031 3,301 23,107 1,429,333 10,005,331

Collatz Trajectory (137 steps to reach 1)

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

10,005,331 30,015,994 15,007,997 45,023,992 22,511,996 11,255,998 5,627,999 16,883,998 8,441,999 25,325,998 12,662,999 37,988,998 18,994,499 56,983,498 28,491,749 85,475,248 42,737,624 21,368,812 10,684,406 5,342,203 16,026,610 8,013,305 24,039,916 12,019,958 6,009,979 18,029,938 9,014,969 27,044,908 13,522,454 6,761,227 20,283,682 10,141,841 30,425,524 15,212,762 7,606,381 22,819,144 11,409,572 5,704,786 2,852,393 8,557,180 4,278,590 2,139,295 6,417,886 3,208,943 9,626,830 4,813,415 14,440,246 7,220,123 21,660,370 10,830,185 32,490,556 16,245,278 8,122,639 24,367,918 12,183,959 36,551,878 18,275,939 54,827,818 27,413,909 82,241,728

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