λ
Harmonic Matrix

560,773

29 × 61 × 317
Deficient Odd Composite

560,773 has digital root 1. The neighboring primes are 560771 and 560783; its proper-divisor sum differs from the starting integer by -530,066.

Prime Factor Structure

Factorization String 29 × 61 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 591,480
Proper Divisor Sum 30,707
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #560771 ← → #560783

Radix Representation

Decimal 560773
Binary 10001000111010000101 (20 bits)
Octal 0o2107205
Hexadecimal 0x88E85

Divisor Catalog (8)

1 29 61 317 1,769 9,193 19,337 560,773

Collatz Trajectory (71 steps to reach 1)

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

560,773 1,682,320 841,160 420,580 210,290 105,145 315,436 157,718 78,859 236,578 118,289 354,868 177,434 88,717 266,152 133,076 66,538 33,269 99,808 49,904 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17

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