λ
Harmonic Matrix

649,497

3 × 23 × 9413
Deficient Odd Composite

649,497 has digital root 3. The neighboring primes are 649487 and 649499; its proper-divisor sum differs from the starting integer by -395,250.

Prime Factor Structure

Factorization String 3 × 23 × 9413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 903,744
Proper Divisor Sum 254,247
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #649487 ← → #649499

Radix Representation

Decimal 649497
Binary 10011110100100011001 (20 bits)
Octal 0o2364431
Hexadecimal 0x9E919

Divisor Catalog (8)

1 3 23 69 9,413 28,239 216,499 649,497

Collatz Trajectory (79 steps to reach 1)

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

649,497 1,948,492 974,246 487,123 1,461,370 730,685 2,192,056 1,096,028 548,014 274,007 822,022 411,011 1,233,034 616,517 1,849,552 924,776 462,388 231,194 115,597 346,792 173,396 86,698 43,349 130,048 65,024 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116

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