1,293,668

2² × 37 × 8741

1,293,668 factors as 2^2 × 37 × 8741. Its 12 positive divisors give a proper-divisor sum of 1,031,704, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 8741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,325,372

Proper Divisor Sum 1,031,704

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1293659 ← → #1293701

Radix Representation

Decimal	1293668
Binary	100111011110101100100 (21 bits)
Octal	0o4736544
Hexadecimal	0x13BD64

Divisor Catalog (12)

1 2 4 37 74 148 8,741 17,482 34,964 323,417 646,834 1,293,668

Collatz Trajectory (186 steps to reach 1)

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

1,293,668 646,834 323,417 970,252 485,126 242,563 727,690 363,845 1,091,536 545,768 272,884 136,442 68,221 204,664 102,332 51,166 25,583 76,750 38,375 115,126 57,563 172,690 86,345 259,036 129,518 64,759 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370

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