λ
Harmonic Matrix

3,506,748

22 × 3 × 7 × 109 × 383
Abundant Even Composite

3,506,748 has digital root 6. The neighboring primes are 3506719 and 3506753; its proper-divisor sum differs from the starting integer by 2,448,264.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 109 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,461,760
Proper Divisor Sum 5,955,012
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3506719 ← → #3506753

Radix Representation

Decimal 3506748
Binary 1101011000001000111100 (22 bits)
Octal 0o15301074
Hexadecimal 0x35823C

Divisor Catalog (48)

Collatz Trajectory (221 steps to reach 1)

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

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