λ
Integer Codex

64,829

241 × 269
Deficient Odd Composite

For 64,829, the 4 positive divisors have a total of 65,340. Removing 64,829 leaves 511, which gives the deficient classification.

Prime Factor Structure

Factorization String 241 × 269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 65,340
Proper Divisor Sum 511
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #64817 ← → #64849

Radix Representation

Decimal 64829
Binary 1111110100111101 (16 bits)
Octal 0o176475
Hexadecimal 0xFD3D

Divisor Catalog (4)

1 241 269 64,829

Collatz Trajectory (192 steps to reach 1)

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

64,829 194,488 97,244 48,622 24,311 72,934 36,467 109,402 54,701 164,104 82,052 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470

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