λ
Harmonic Matrix

3,664,692

22 × 32 × 101797
Abundant Even Composite

3,664,692 has digital root 9. The neighboring primes are 3664691 and 3664693; its proper-divisor sum differs from the starting integer by 1,934,234.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,263,618
Proper Divisor Sum 5,598,926
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3664691 ← → #3664693

Radix Representation

Decimal 3664692
Binary 1101111110101100110100 (22 bits)
Octal 0o15765464
Hexadecimal 0x37EB34

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 101,797 203,594 305,391 407,188 610,782 916,173 1,221,564 1,832,346 3,664,692

Collatz Trajectory (84 steps to reach 1)

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

3,664,692 1,832,346 916,173 2,748,520 1,374,260 687,130 343,565 1,030,696 515,348 257,674 128,837 386,512 193,256 96,628 48,314 24,157 72,472 36,236 18,118 9,059 27,178 13,589 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

More profiles

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