λ
Harmonic Matrix

7,772,296

23 × 7 × 47 × 2953
Abundant Even Composite

7,772,296 has digital root 4. The neighboring primes are 7772279 and 7772309; its proper-divisor sum differs from the starting integer by 1,470,448.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 2953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,015,040
Proper Divisor Sum 9,242,744
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7772279 ← → #7772309

Radix Representation

Decimal 7772296
Binary 11101101001100010001000 (23 bits)
Octal 0o35514210
Hexadecimal 0x769888

Divisor Catalog (32)

Collatz Trajectory (98 steps to reach 1)

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

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