λ
Harmonic Matrix

1,416,608

25 × 44269
Deficient Even Composite

1,416,608 has digital root 8. The neighboring primes are 1416601 and 1416617; its proper-divisor sum differs from the starting integer by -44,206.

Prime Factor Structure

Factorization String 2^5 × 44269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,789,010
Proper Divisor Sum 1,372,402
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1416601 ← → #1416617

Radix Representation

Decimal 1416608
Binary 101011001110110100000 (21 bits)
Octal 0o5316640
Hexadecimal 0x159DA0

Divisor Catalog (12)

1 2 4 8 16 32 44,269 88,538 177,076 354,152 708,304 1,416,608

Collatz Trajectory (49 steps to reach 1)

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

1,416,608 708,304 354,152 177,076 88,538 44,269 132,808 66,404 33,202 16,601 49,804 24,902 12,451 37,354 18,677 56,032 28,016 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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