λ
Harmonic Matrix

650,289

3 × 43 × 712
Deficient Odd Composite

650,289 has digital root 3. The neighboring primes are 650281 and 650291; its proper-divisor sum differs from the starting integer by -400,690.

Prime Factor Structure

Factorization String 3 × 43 × 71^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 899,888
Proper Divisor Sum 249,599
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #650281 ← → #650291

Radix Representation

Decimal 650289
Binary 10011110110000110001 (20 bits)
Octal 0o2366061
Hexadecimal 0x9EC31

Divisor Catalog (12)

1 3 43 71 129 213 3,053 5,041 9,159 15,123 216,763 650,289

Collatz Trajectory (154 steps to reach 1)

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

650,289 1,950,868 975,434 487,717 1,463,152 731,576 365,788 182,894 91,447 274,342 137,171 411,514 205,757 617,272 308,636 154,318 77,159 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836 703,918 351,959 1,055,878 527,939 1,583,818 791,909 2,375,728 1,187,864 593,932 296,966 148,483

More profiles

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