λ
Ratio Atlas

573,509

573509
Deficient Odd Prime

573,509 factors as 573509. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 573509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 573,510
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #573497 ← → #573511

Radix Representation

Decimal 573509
Binary 10001100000001000101 (20 bits)
Octal 0o2140105
Hexadecimal 0x8C045

Divisor Catalog (2)

1 573,509

Collatz Trajectory (97 steps to reach 1)

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

573,509 1,720,528 860,264 430,132 215,066 107,533 322,600 161,300 80,650 40,325 120,976 60,488 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611

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