λ
Harmonic Matrix

751,384

23 × 93923
Deficient Even Composite

751,384 has digital root 1. The neighboring primes are 751379 and 751411; its proper-divisor sum differs from the starting integer by -93,908.

Prime Factor Structure

Factorization String 2^3 × 93923
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,408,860
Proper Divisor Sum 657,476
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #751379 ← → #751411

Radix Representation

Decimal 751384
Binary 10110111011100011000 (20 bits)
Octal 0o2673430
Hexadecimal 0xB7718

Divisor Catalog (8)

1 2 4 8 93,923 187,846 375,692 751,384

Collatz Trajectory (149 steps to reach 1)

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

751,384 375,692 187,846 93,923 281,770 140,885 422,656 211,328 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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