λ
Integer Codex

52,179

3 × 17393
Deficient Odd Composite

For 52,179, the 4 positive divisors have a total of 69,576. Removing 52,179 leaves 17,397, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17393
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 69,576
Proper Divisor Sum 17,397
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #52177 ← → #52181

Radix Representation

Decimal 52179
Binary 1100101111010011 (16 bits)
Octal 0o145723
Hexadecimal 0xCBD3

Divisor Catalog (4)

1 3 17,393 52,179

Collatz Trajectory (184 steps to reach 1)

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

52,179 156,538 78,269 234,808 117,404 58,702 29,351 88,054 44,027 132,082 66,041 198,124 99,062 49,531 148,594 74,297 222,892 111,446 55,723 167,170 83,585 250,756 125,378 62,689 188,068 94,034 47,017 141,052 70,526 35,263 105,790 52,895 158,686 79,343 238,030 119,015 357,046 178,523 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917 1,016,752 508,376 254,188 127,094 63,547 190,642 95,321 285,964 142,982 71,491

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