741,124

2² × 29 × 6389

741,124 factors as 2^2 × 29 × 6389. Its 12 positive divisors give a proper-divisor sum of 600,776, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 6389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,341,900

Proper Divisor Sum 600,776

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #741121 ← → #741127

Radix Representation

Decimal	741124
Binary	10110100111100000100 (20 bits)
Octal	0o2647404
Hexadecimal	0xB4F04

Divisor Catalog (12)

1 2 4 29 58 116 6,389 12,778 25,556 185,281 370,562 741,124

Collatz Trajectory (180 steps to reach 1)

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

741,124 370,562 185,281 555,844 277,922 138,961 416,884 208,442 104,221 312,664 156,332 78,166 39,083 117,250 58,625 175,876 87,938 43,969 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785

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