λ
Prime Ledger

556,309

13 × 42793
Deficient Odd Composite

556,309 has the prime decomposition 13 × 42793. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 42793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 599,116
Proper Divisor Sum 42,807
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #556289 ← → #556313

Radix Representation

Decimal 556309
Binary 10000111110100010101 (20 bits)
Octal 0o2076425
Hexadecimal 0x87D15

Divisor Catalog (4)

1 13 42,793 556,309

Collatz Trajectory (58 steps to reach 1)

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

556,309 1,668,928 834,464 417,232 208,616 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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