10,249,941

3 × 13 × 262819

10,249,941 factors as 3 × 13 × 262819. Its 8 positive divisors give a proper-divisor sum of 4,467,979, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 3 × 13 × 262819

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,717,920

Proper Divisor Sum 4,467,979

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #10249937 ← → #10249951

Radix Representation

Decimal	10249941
Binary	100111000110011011010101 (24 bits)
Octal	0o47063325
Hexadecimal	0x9C66D5

Divisor Catalog (8)

1 3 13 39 262,819 788,457 3,416,647 10,249,941

Collatz Trajectory (75 steps to reach 1)

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

10,249,941 30,749,824 15,374,912 7,687,456 3,843,728 1,921,864 960,932 480,466 240,233 720,700 360,350 180,175 540,526 270,263 810,790 405,395 1,216,186 608,093 1,824,280 912,140 456,070 228,035 684,106 342,053 1,026,160 513,080 256,540 128,270 64,135 192,406 96,203 288,610 144,305 432,916 216,458 108,229 324,688 162,344 81,172 40,586 20,293 60,880 30,440 15,220 7,610 3,805 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808

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