λ
Match Zalai

565,239

3 × 29 × 73 × 89
Deficient Odd Composite

565,239 factors as 3 × 29 × 73 × 89. Its 16 positive divisors give a proper-divisor sum of 233,961, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3 × 29 × 73 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 799,200
Proper Divisor Sum 233,961
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #565237 ← → #565241

Radix Representation

Decimal 565239
Binary 10001001111111110111 (20 bits)
Octal 0o2117767
Hexadecimal 0x89FF7

Divisor Catalog (16)

1 3 29 73 87 89 219 267 2,117 2,581 6,351 6,497 7,743 19,491 188,413 565,239

Collatz Trajectory (128 steps to reach 1)

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

565,239 1,695,718 847,859 2,543,578 1,271,789 3,815,368 1,907,684 953,842 476,921 1,430,764 715,382 357,691 1,073,074 536,537 1,609,612 804,806 402,403 1,207,210 603,605 1,810,816 905,408 452,704 226,352 113,176 56,588 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590

More profiles

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