λ
Integer Codex

564,029

23 × 137 × 179
Deficient Odd Composite

For 564,029, the 8 positive divisors have a total of 596,160. Removing 564,029 leaves 32,131, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 137 × 179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 596,160
Proper Divisor Sum 32,131
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #564017 ← → #564041

Radix Representation

Decimal 564029
Binary 10001001101100111101 (20 bits)
Octal 0o2115475
Hexadecimal 0x89B3D

Divisor Catalog (8)

1 23 137 179 3,151 4,117 24,523 564,029

Collatz Trajectory (177 steps to reach 1)

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

564,029 1,692,088 846,044 423,022 211,511 634,534 317,267 951,802 475,901 1,427,704 713,852 356,926 178,463 535,390 267,695 803,086 401,543 1,204,630 602,315 1,806,946 903,473 2,710,420 1,355,210 677,605 2,032,816 1,016,408 508,204 254,102 127,051 381,154 190,577 571,732 285,866 142,933 428,800 214,400 107,200 53,600 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598

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