λ
Sigma Notebook

337,051

11 × 13 × 2357
Deficient Odd Composite

337,051 is odd and not a perfect square. Its factorization is 11 × 13 × 2357 and its 8 divisors sum to 396,144.

Prime Factor Structure

Factorization String 11 × 13 × 2357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 396,144
Proper Divisor Sum 59,093
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #337049 ← → #337069

Radix Representation

Decimal 337051
Binary 1010010010010011011 (19 bits)
Octal 0o1222233
Hexadecimal 0x5249B

Divisor Catalog (8)

1 11 13 143 2,357 25,927 30,641 337,051

Collatz Trajectory (83 steps to reach 1)

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

337,051 1,011,154 505,577 1,516,732 758,366 379,183 1,137,550 568,775 1,706,326 853,163 2,559,490 1,279,745 3,839,236 1,919,618 959,809 2,879,428 1,439,714 719,857 2,159,572 1,079,786 539,893 1,619,680 809,840 404,920 202,460 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138

More profiles

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