10,004,331

3 × 1511 × 2207

10,004,331 factors as 3 × 1511 × 2207. Its 8 positive divisors give a proper-divisor sum of 3,349,653, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 1511 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,353,984

Proper Divisor Sum 3,349,653

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #10004329 ← → #10004341

Radix Representation

Decimal	10004331
Binary	100110001010011101101011 (24 bits)
Octal	0o46123553
Hexadecimal	0x98A76B

Divisor Catalog (8)

1 3 1,511 2,207 4,533 6,621 3,334,777 10,004,331

Collatz Trajectory (137 steps to reach 1)

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

10,004,331 30,012,994 15,006,497 45,019,492 22,509,746 11,254,873 33,764,620 16,882,310 8,441,155 25,323,466 12,661,733 37,985,200 18,992,600 9,496,300 4,748,150 2,374,075 7,122,226 3,561,113 10,683,340 5,341,670 2,670,835 8,012,506 4,006,253 12,018,760 6,009,380 3,004,690 1,502,345 4,507,036 2,253,518 1,126,759 3,380,278 1,690,139 5,070,418 2,535,209 7,605,628 3,802,814 1,901,407 5,704,222 2,852,111 8,556,334 4,278,167 12,834,502 6,417,251 19,251,754 9,625,877 28,877,632 14,438,816 7,219,408 3,609,704 1,804,852 902,426 451,213 1,353,640 676,820 338,410 169,205 507,616 253,808 126,904 63,452

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