λ
Harmonic Matrix

761,314

2 × 380657
Deficient Even Composite

761,314 has digital root 4. The neighboring primes are 761297 and 761347; its proper-divisor sum differs from the starting integer by -380,654.

Prime Factor Structure

Factorization String 2 × 380657
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,141,974
Proper Divisor Sum 380,660
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #761297 ← → #761347

Radix Representation

Decimal 761314
Binary 10111001110111100010 (20 bits)
Octal 0o2716742
Hexadecimal 0xB9DE2

Divisor Catalog (4)

1 2 380,657 761,314

Collatz Trajectory (149 steps to reach 1)

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

761,314 380,657 1,141,972 570,986 285,493 856,480 428,240 214,120 107,060 53,530 26,765 80,296 40,148 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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