λ
Harmonic Matrix

3,456,064

26 × 54001
Deficient Even Composite

3,456,064 has digital root 1. The neighboring primes are 3456053 and 3456071; its proper-divisor sum differs from the starting integer by -53,874.

Prime Factor Structure

Factorization String 2^6 × 54001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 6,858,254
Proper Divisor Sum 3,402,190
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3456053 ← → #3456071

Radix Representation

Decimal 3456064
Binary 1101001011110001000000 (22 bits)
Octal 0o15136100
Hexadecimal 0x34BC40

Divisor Catalog (14)

1 2 4 8 16 32 64 54,001 108,002 216,004 432,008 864,016 1,728,032 3,456,064

Collatz Trajectory (53 steps to reach 1)

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

3,456,064 1,728,032 864,016 432,008 216,004 108,002 54,001 162,004 81,002 40,501 121,504 60,752 30,376 15,188 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 52 26 13 40 20 10 5 16 8 4 2 1

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