λ
Integer Codex

529,091

17 × 31123
Deficient Odd Composite

For 529,091, the 4 positive divisors have a total of 560,232. Removing 529,091 leaves 31,141, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 31123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 560,232
Proper Divisor Sum 31,141
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #529051 ← → #529097

Radix Representation

Decimal 529091
Binary 10000001001011000011 (20 bits)
Octal 0o2011303
Hexadecimal 0x812C3

Divisor Catalog (4)

1 17 31,123 529,091

Collatz Trajectory (146 steps to reach 1)

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

529,091 1,587,274 793,637 2,380,912 1,190,456 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266 635,633 1,906,900 953,450 476,725 1,430,176 715,088 357,544 178,772 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358

More profiles

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