λ
Prime Ledger

613,561

13 × 109 × 433
Deficient Odd Composite

613,561 has the prime decomposition 13 × 109 × 433. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 109 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 668,360
Proper Divisor Sum 54,799
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #613559 ← → #613573

Radix Representation

Decimal 613561
Binary 10010101110010111001 (20 bits)
Octal 0o2256271
Hexadecimal 0x95CB9

Divisor Catalog (8)

1 13 109 433 1,417 5,629 47,197 613,561

Collatz Trajectory (84 steps to reach 1)

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

613,561 1,840,684 920,342 460,171 1,380,514 690,257 2,070,772 1,035,386 517,693 1,553,080 776,540 388,270 194,135 582,406 291,203 873,610 436,805 1,310,416 655,208 327,604 163,802 81,901 245,704 122,852 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650

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