λ
Math Directory

807,269

269 × 3001
Deficient Odd Composite

807,269 factors as 269 × 3001. Its 4 positive divisors give a proper-divisor sum of 3,271, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 269 × 3001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 810,540
Proper Divisor Sum 3,271
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #807259 ← → #807281

Radix Representation

Decimal 807269
Binary 11000101000101100101 (20 bits)
Octal 0o3050545
Hexadecimal 0xC5165

Divisor Catalog (4)

1 269 3,001 807,269

Collatz Trajectory (69 steps to reach 1)

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

807,269 2,421,808 1,210,904 605,452 302,726 151,363 454,090 227,045 681,136 340,568 170,284 85,142 42,571 127,714 63,857 191,572 95,786 47,893 143,680 71,840 35,920 17,960 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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