5,961,137

7 × 13² × 5039

5,961,137 factors as 7 × 13^2 × 5039. Its 12 positive divisors give a proper-divisor sum of 1,417,423, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 5039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,378,560

Proper Divisor Sum 1,417,423

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5961127 ← → #5961149

Radix Representation

Decimal	5961137
Binary	10110101111010110110001 (23 bits)
Octal	0o26572661
Hexadecimal	0x5AF5B1

Divisor Catalog (12)

1 7 13 91 169 1,183 5,039 35,273 65,507 458,549 851,591 5,961,137

Collatz Trajectory (121 steps to reach 1)

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

5,961,137 17,883,412 8,941,706 4,470,853 13,412,560 6,706,280 3,353,140 1,676,570 838,285 2,514,856 1,257,428 628,714 314,357 943,072 471,536 235,768 117,884 58,942 29,471 88,414 44,207 132,622 66,311 198,934 99,467 298,402 149,201 447,604 223,802 111,901 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302

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