λ
Harmonic Matrix

767,087

19 × 47 × 859
Deficient Odd Composite

767,087 has digital root 8. The neighboring primes are 767071 and 767089; its proper-divisor sum differs from the starting integer by -708,574.

Prime Factor Structure

Factorization String 19 × 47 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 825,600
Proper Divisor Sum 58,513
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #767071 ← → #767089

Radix Representation

Decimal 767087
Binary 10111011010001101111 (20 bits)
Octal 0o2732157
Hexadecimal 0xBB46F

Divisor Catalog (8)

1 19 47 859 893 16,321 40,373 767,087

Collatz Trajectory (185 steps to reach 1)

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

767,087 2,301,262 1,150,631 3,451,894 1,725,947 5,177,842 2,588,921 7,766,764 3,883,382 1,941,691 5,825,074 2,912,537 8,737,612 4,368,806 2,184,403 6,553,210 3,276,605 9,829,816 4,914,908 2,457,454 1,228,727 3,686,182 1,843,091 5,529,274 2,764,637 8,293,912 4,146,956 2,073,478 1,036,739 3,110,218 1,555,109 4,665,328 2,332,664 1,166,332 583,166 291,583 874,750 437,375 1,312,126 656,063 1,968,190 984,095 2,952,286 1,476,143 4,428,430 2,214,215 6,642,646 3,321,323 9,963,970 4,981,985 14,945,956 7,472,978 3,736,489 11,209,468 5,604,734 2,802,367 8,407,102 4,203,551 12,610,654 6,305,327

More profiles

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