λ
Integer Codex

475,579

13 × 36583
Deficient Odd Composite

For 475,579, the 4 positive divisors have a total of 512,176. Removing 475,579 leaves 36,597, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 36583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 512,176
Proper Divisor Sum 36,597
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #475549 ← → #475583

Radix Representation

Decimal 475579
Binary 1110100000110111011 (19 bits)
Octal 0o1640673
Hexadecimal 0x741BB

Divisor Catalog (4)

1 13 36,583 475,579

Collatz Trajectory (151 steps to reach 1)

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

475,579 1,426,738 713,369 2,140,108 1,070,054 535,027 1,605,082 802,541 2,407,624 1,203,812 601,906 300,953 902,860 451,430 225,715 677,146 338,573 1,015,720 507,860 253,930 126,965 380,896 190,448 95,224 47,612 23,806 11,903 35,710 17,855 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590

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