λ
Harmonic Matrix

564,439

389 × 1451
Deficient Odd Composite

564,439 has digital root 4. The neighboring primes are 564437 and 564449; its proper-divisor sum differs from the starting integer by -562,598.

Prime Factor Structure

Factorization String 389 × 1451
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 566,280
Proper Divisor Sum 1,841
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #564437 ← → #564449

Radix Representation

Decimal 564439
Binary 10001001110011010111 (20 bits)
Octal 0o2116327
Hexadecimal 0x89CD7

Divisor Catalog (4)

1 389 1,451 564,439

Collatz Trajectory (58 steps to reach 1)

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

564,439 1,693,318 846,659 2,539,978 1,269,989 3,809,968 1,904,984 952,492 476,246 238,123 714,370 357,185 1,071,556 535,778 267,889 803,668 401,834 200,917 602,752 301,376 150,688 75,344 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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