4,159,124

2² × 47 × 22123

4,159,124 factors as 2^2 × 47 × 22123. Its 12 positive divisors give a proper-divisor sum of 3,274,540, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 22123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,433,664

Proper Divisor Sum 3,274,540

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4159097 ← → #4159147

Radix Representation

Decimal	4159124
Binary	1111110111011010010100 (22 bits)
Octal	0o17673224
Hexadecimal	0x3F7694

Divisor Catalog (12)

1 2 4 47 94 188 22,123 44,246 88,492 1,039,781 2,079,562 4,159,124

Collatz Trajectory (185 steps to reach 1)

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

4,159,124 2,079,562 1,039,781 3,119,344 1,559,672 779,836 389,918 194,959 584,878 292,439 877,318 438,659 1,315,978 657,989 1,973,968 986,984 493,492 246,746 123,373 370,120 185,060 92,530 46,265 138,796 69,398 34,699 104,098 52,049 156,148 78,074 39,037 117,112 58,556 29,278 14,639 43,918 21,959 65,878 32,939 98,818 49,409 148,228 74,114 37,057 111,172 55,586 27,793 83,380 41,690 20,845 62,536 31,268 15,634 7,817 23,452 11,726 5,863 17,590 8,795 26,386

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