λ
Integer Codex

272,531

7 × 38933
Deficient Odd Composite

For 272,531, the 4 positive divisors have a total of 311,472. Removing 272,531 leaves 38,941, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 38933
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 311,472
Proper Divisor Sum 38,941
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #272507 ← → #272533

Radix Representation

Decimal 272531
Binary 1000010100010010011 (19 bits)
Octal 0o1024223
Hexadecimal 0x42893

Divisor Catalog (4)

1 7 38,933 272,531

Collatz Trajectory (163 steps to reach 1)

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

272,531 817,594 408,797 1,226,392 613,196 306,598 153,299 459,898 229,949 689,848 344,924 172,462 86,231 258,694 129,347 388,042 194,021 582,064 291,032 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729

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