λ
Harmonic Matrix

482,896

24 × 30181
Deficient Even Composite

482,896 has digital root 1. The neighboring primes are 482873 and 482897; its proper-divisor sum differs from the starting integer by -30,150.

Prime Factor Structure

Factorization String 2^4 × 30181
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 935,642
Proper Divisor Sum 452,746
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #482873 ← → #482897

Radix Representation

Decimal 482896
Binary 1110101111001010000 (19 bits)
Octal 0o1657120
Hexadecimal 0x75E50

Divisor Catalog (10)

1 2 4 8 16 30,181 60,362 120,724 241,448 482,896

Collatz Trajectory (76 steps to reach 1)

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

482,896 241,448 120,724 60,362 30,181 90,544 45,272 22,636 11,318 5,659 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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