1,317,739

23² × 47 × 53

1,317,739 factors as 23^2 × 47 × 53. Its 12 positive divisors give a proper-divisor sum of 115,637, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 23^2 × 47 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,433,376

Proper Divisor Sum 115,637

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1317727 ← → #1317751

Radix Representation

Decimal	1317739
Binary	101000001101101101011 (21 bits)
Octal	0o5015553
Hexadecimal	0x141B6B

Divisor Catalog (12)

1 23 47 53 529 1,081 1,219 2,491 24,863 28,037 57,293 1,317,739

Collatz Trajectory (155 steps to reach 1)

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

1,317,739 3,953,218 1,976,609 5,929,828 2,964,914 1,482,457 4,447,372 2,223,686 1,111,843 3,335,530 1,667,765 5,003,296 2,501,648 1,250,824 625,412 312,706 156,353 469,060 234,530 117,265 351,796 175,898 87,949 263,848 131,924 65,962 32,981 98,944 49,472 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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