λ
Harmonic Matrix

649,357

31 × 20947
Deficient Odd Composite

649,357 has digital root 7. The neighboring primes are 649321 and 649361; its proper-divisor sum differs from the starting integer by -628,378.

Prime Factor Structure

Factorization String 31 × 20947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 670,336
Proper Divisor Sum 20,979
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #649321 ← → #649361

Radix Representation

Decimal 649357
Binary 10011110100010001101 (20 bits)
Octal 0o2364215
Hexadecimal 0x9E88D

Divisor Catalog (4)

1 31 20,947 649,357

Collatz Trajectory (40 steps to reach 1)

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

649,357 1,948,072 974,036 487,018 243,509 730,528 365,264 182,632 91,316 45,658 22,829 68,488 34,244 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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