λ
Sigma Notebook

1,731,269

137 × 12637
Deficient Odd Composite

1,731,269 is odd and not a perfect square. Its factorization is 137 × 12637 and its 4 divisors sum to 1,744,044.

Prime Factor Structure

Factorization String 137 × 12637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,744,044
Proper Divisor Sum 12,775
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1731253 ← → #1731287

Radix Representation

Decimal 1731269
Binary 110100110101011000101 (21 bits)
Octal 0o6465305
Hexadecimal 0x1A6AC5

Divisor Catalog (4)

1 137 12,637 1,731,269

Collatz Trajectory (96 steps to reach 1)

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

1,731,269 5,193,808 2,596,904 1,298,452 649,226 324,613 973,840 486,920 243,460 121,730 60,865 182,596 91,298 45,649 136,948 68,474 34,237 102,712 51,356 25,678 12,839 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

More profiles

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