12,123,741

3 × 7 × 41 × 14081

12,123,741 factors as 3 × 7 × 41 × 14081. Its 16 positive divisors give a proper-divisor sum of 6,802,467, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 14081

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,926,208

Proper Divisor Sum 6,802,467

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #12123731 ← → #12123751

Radix Representation

Decimal	12123741
Binary	101110001111111001011101 (24 bits)
Octal	0o56177135
Hexadecimal	0xB8FE5D

Divisor Catalog (16)

1 3 7 21 41 123 287 861 14,081 42,243 98,567 295,701 577,321 1,731,963 4,041,247 12,123,741

Collatz Trajectory (184 steps to reach 1)

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

12,123,741 36,371,224 18,185,612 9,092,806 4,546,403 13,639,210 6,819,605 20,458,816 10,229,408 5,114,704 2,557,352 1,278,676 639,338 319,669 959,008 479,504 239,752 119,876 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850

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