λ
Harmonic Matrix

560,749

7 × 80107
Deficient Odd Composite

560,749 has digital root 4. The neighboring primes are 560737 and 560753; its proper-divisor sum differs from the starting integer by -480,634.

Prime Factor Structure

Factorization String 7 × 80107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 640,864
Proper Divisor Sum 80,115
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #560737 ← → #560753

Radix Representation

Decimal 560749
Binary 10001000111001101101 (20 bits)
Octal 0o2107155
Hexadecimal 0x88E6D

Divisor Catalog (4)

1 7 80,107 560,749

Collatz Trajectory (221 steps to reach 1)

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

560,749 1,682,248 841,124 420,562 210,281 630,844 315,422 157,711 473,134 236,567 709,702 354,851 1,064,554 532,277 1,596,832 798,416 399,208 199,604 99,802 49,901 149,704 74,852 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563

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