λ
Sigma Notebook

965,263

13 × 41 × 1811
Deficient Odd Composite

965,263 is odd and not a perfect square. Its factorization is 13 × 41 × 1811 and its 8 divisors sum to 1,065,456.

Prime Factor Structure

Factorization String 13 × 41 × 1811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,065,456
Proper Divisor Sum 100,193
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #965249 ← → #965267

Radix Representation

Decimal 965263
Binary 11101011101010001111 (20 bits)
Octal 0o3535217
Hexadecimal 0xEBA8F

Divisor Catalog (8)

1 13 41 533 1,811 23,543 74,251 965,263

Collatz Trajectory (108 steps to reach 1)

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

965,263 2,895,790 1,447,895 4,343,686 2,171,843 6,515,530 3,257,765 9,773,296 4,886,648 2,443,324 1,221,662 610,831 1,832,494 916,247 2,748,742 1,374,371 4,123,114 2,061,557 6,184,672 3,092,336 1,546,168 773,084 386,542 193,271 579,814 289,907 869,722 434,861 1,304,584 652,292 326,146 163,073 489,220 244,610 122,305 366,916 183,458 91,729 275,188 137,594 68,797 206,392 103,196 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736

More profiles

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