λ
Integer Codex

575,713

23 × 25031
Deficient Odd Composite

For 575,713, the 4 positive divisors have a total of 600,768. Removing 575,713 leaves 25,055, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 25031
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 600,768
Proper Divisor Sum 25,055
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #575711 ← → #575717

Radix Representation

Decimal 575713
Binary 10001100100011100001 (20 bits)
Octal 0o2144341
Hexadecimal 0x8C8E1

Divisor Catalog (4)

1 23 25,031 575,713

Collatz Trajectory (221 steps to reach 1)

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

575,713 1,727,140 863,570 431,785 1,295,356 647,678 323,839 971,518 485,759 1,457,278 728,639 2,185,918 1,092,959 3,278,878 1,639,439 4,918,318 2,459,159 7,377,478 3,688,739 11,066,218 5,533,109 16,599,328 8,299,664 4,149,832 2,074,916 1,037,458 518,729 1,556,188 778,094 389,047 1,167,142 583,571 1,750,714 875,357 2,626,072 1,313,036 656,518 328,259 984,778 492,389 1,477,168 738,584 369,292 184,646 92,323 276,970 138,485 415,456 207,728 103,864 51,932 25,966 12,983 38,950 19,475 58,426 29,213 87,640 43,820 21,910

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