λ
Harmonic Matrix

560,113

560113
Deficient Odd Prime

560,113 has digital root 7. The neighboring primes are 560107 and 560117; its proper-divisor sum differs from the starting integer by -560,112.

Prime Factor Structure

Factorization String 560113
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 560,114
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #560107 ← → #560117

Radix Representation

Decimal 560113
Binary 10001000101111110001 (20 bits)
Octal 0o2105761
Hexadecimal 0x88BF1

Divisor Catalog (2)

Collatz Trajectory (58 steps to reach 1)

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

560,113 1,680,340 840,170 420,085 1,260,256 630,128 315,064 157,532 78,766 39,383 118,150 59,075 177,226 88,613 265,840 132,920 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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