λ
Harmonic Matrix

14,974

2 × 7487
Deficient Even Composite

14,974 has digital root 7. The neighboring primes are 14969 and 14983; its proper-divisor sum differs from the starting integer by -7,484.

Prime Factor Structure

Factorization String 2 × 7487
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 22,464
Proper Divisor Sum 7,490
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14969 ← → #14983

Radix Representation

Decimal 14974
Binary 11101001111110 (14 bits)
Octal 0o35176
Hexadecimal 0x3A7E

Divisor Catalog (4)

1 2 7,487 14,974

Collatz Trajectory (71 steps to reach 1)

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

14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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