λ
Integer Codex

220,039

19 × 37 × 313
Deficient Odd Composite

For 220,039, the 8 positive divisors have a total of 238,640. Removing 220,039 leaves 18,601, which gives the deficient classification.

Prime Factor Structure

Factorization String 19 × 37 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 238,640
Proper Divisor Sum 18,601
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #220021 ← → #220057

Radix Representation

Decimal 220039
Binary 110101101110000111 (18 bits)
Octal 0o655607
Hexadecimal 0x35B87

Divisor Catalog (8)

1 19 37 313 703 5,947 11,581 220,039

Collatz Trajectory (98 steps to reach 1)

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

220,039 660,118 330,059 990,178 495,089 1,485,268 742,634 371,317 1,113,952 556,976 278,488 139,244 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246

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