λ
Harmonic Matrix

761,146

2 × 431 × 883
Deficient Even Composite

761,146 has digital root 7. The neighboring primes are 761129 and 761153; its proper-divisor sum differs from the starting integer by -376,628.

Prime Factor Structure

Factorization String 2 × 431 × 883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,145,664
Proper Divisor Sum 384,518
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #761129 ← → #761153

Radix Representation

Decimal 761146
Binary 10111001110100111010 (20 bits)
Octal 0o2716472
Hexadecimal 0xB9D3A

Divisor Catalog (8)

1 2 431 862 883 1,766 380,573 761,146

Collatz Trajectory (105 steps to reach 1)

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

761,146 380,573 1,141,720 570,860 285,430 142,715 428,146 214,073 642,220 321,110 160,555 481,666 240,833 722,500 361,250 180,625 541,876 270,938 135,469 406,408 203,204 101,602 50,801 152,404 76,202 38,101 114,304 57,152 28,576 14,288 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

More profiles

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