λ
Sigma Notebook

267,939

32 × 7 × 4253
Deficient Odd Composite

267,939 is odd and not a perfect square. Its factorization is 3^2 × 7 × 4253 and its 12 divisors sum to 442,416.

Prime Factor Structure

Factorization String 3^2 × 7 × 4253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 442,416
Proper Divisor Sum 174,477
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #267929 ← → #267941

Radix Representation

Decimal 267939
Binary 1000001011010100011 (19 bits)
Octal 0o1013243
Hexadecimal 0x416A3

Divisor Catalog (12)

1 3 7 9 21 63 4,253 12,759 29,771 38,277 89,313 267,939

Collatz Trajectory (163 steps to reach 1)

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

267,939 803,818 401,909 1,205,728 602,864 301,432 150,716 75,358 37,679 113,038 56,519 169,558 84,779 254,338 127,169 381,508 190,754 95,377 286,132 143,066 71,533 214,600 107,300 53,650 26,825 80,476 40,238 20,119 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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