λ
Harmonic Matrix

49,286

2 × 19 × 1297
Deficient Even Composite

49,286 has digital root 2. The neighboring primes are 49279 and 49297; its proper-divisor sum differs from the starting integer by -20,692.

Prime Factor Structure

Factorization String 2 × 19 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 77,880
Proper Divisor Sum 28,594
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #49279 ← → #49297

Radix Representation

Decimal 49286
Binary 1100000010000110 (16 bits)
Octal 0o140206
Hexadecimal 0xC086

Divisor Catalog (8)

1 2 19 38 1,297 2,594 24,643 49,286

Collatz Trajectory (158 steps to reach 1)

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

49,286 24,643 73,930 36,965 110,896 55,448 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322

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