λ
Harmonic Matrix

560,447

560447
Deficient Odd Prime

560,447 has digital root 8. The neighboring primes are 560437 and 560459; its proper-divisor sum differs from the starting integer by -560,446.

Prime Factor Structure

Factorization String 560447
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 560,448
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #560437 ← → #560459

Radix Representation

Decimal 560447
Binary 10001000110100111111 (20 bits)
Octal 0o2106477
Hexadecimal 0x88D3F

Divisor Catalog (2)

Collatz Trajectory (208 steps to reach 1)

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

560,447 1,681,342 840,671 2,522,014 1,261,007 3,783,022 1,891,511 5,674,534 2,837,267 8,511,802 4,255,901 12,767,704 6,383,852 3,191,926 1,595,963 4,787,890 2,393,945 7,181,836 3,590,918 1,795,459 5,386,378 2,693,189 8,079,568 4,039,784 2,019,892 1,009,946 504,973 1,514,920 757,460 378,730 189,365 568,096 284,048 142,024 71,012 35,506 17,753 53,260 26,630 13,315 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557

More profiles

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