λ
Harmonic Matrix

771,883

7 × 110269
Deficient Odd Composite

771,883 has digital root 7. The neighboring primes are 771877 and 771887; its proper-divisor sum differs from the starting integer by -661,606.

Prime Factor Structure

Factorization String 7 × 110269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 882,160
Proper Divisor Sum 110,277
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #771877 ← → #771887

Radix Representation

Decimal 771883
Binary 10111100011100101011 (20 bits)
Octal 0o2743453
Hexadecimal 0xBC72B

Divisor Catalog (4)

1 7 110,269 771,883

Collatz Trajectory (74 steps to reach 1)

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

771,883 2,315,650 1,157,825 3,473,476 1,736,738 868,369 2,605,108 1,302,554 651,277 1,953,832 976,916 488,458 244,229 732,688 366,344 183,172 91,586 45,793 137,380 68,690 34,345 103,036 51,518 25,759 77,278 38,639 115,918 57,959 173,878 86,939 260,818 130,409 391,228 195,614 97,807 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136

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