λ
Harmonic Matrix

738,896

24 × 46181
Deficient Even Composite

738,896 has digital root 5. The neighboring primes are 738889 and 738917; its proper-divisor sum differs from the starting integer by -46,150.

Prime Factor Structure

Factorization String 2^4 × 46181
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,431,642
Proper Divisor Sum 692,746
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #738889 ← → #738917

Radix Representation

Decimal 738896
Binary 10110100011001010000 (20 bits)
Octal 0o2643120
Hexadecimal 0xB4650

Divisor Catalog (10)

1 2 4 8 16 46,181 92,362 184,724 369,448 738,896

Collatz Trajectory (61 steps to reach 1)

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

738,896 369,448 184,724 92,362 46,181 138,544 69,272 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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