λ
Integer Codex

462,209

11 × 42019
Deficient Odd Composite

For 462,209, the 4 positive divisors have a total of 504,240. Removing 462,209 leaves 42,031, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 42019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 504,240
Proper Divisor Sum 42,031
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #462199 ← → #462221

Radix Representation

Decimal 462209
Binary 1110000110110000001 (19 bits)
Octal 0o1606601
Hexadecimal 0x70D81

Divisor Catalog (4)

1 11 42,019 462,209

Collatz Trajectory (107 steps to reach 1)

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

462,209 1,386,628 693,314 346,657 1,039,972 519,986 259,993 779,980 389,990 194,995 584,986 292,493 877,480 438,740 219,370 109,685 329,056 164,528 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936

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