λ
Harmonic Matrix

779,627

19 × 37 × 1109
Deficient Odd Composite

779,627 has digital root 2. The neighboring primes are 779621 and 779657; its proper-divisor sum differs from the starting integer by -715,654.

Prime Factor Structure

Factorization String 19 × 37 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 843,600
Proper Divisor Sum 63,973
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #779621 ← → #779657

Radix Representation

Decimal 779627
Binary 10111110010101101011 (20 bits)
Octal 0o2762553
Hexadecimal 0xBE56B

Divisor Catalog (8)

1 19 37 703 1,109 21,071 41,033 779,627

Collatz Trajectory (149 steps to reach 1)

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

779,627 2,338,882 1,169,441 3,508,324 1,754,162 877,081 2,631,244 1,315,622 657,811 1,973,434 986,717 2,960,152 1,480,076 740,038 370,019 1,110,058 555,029 1,665,088 832,544 416,272 208,136 104,068 52,034 26,017 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826

More profiles

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