λ
Harmonic Matrix

7,898,560

26 × 5 × 24683
Abundant Even Composite

7,898,560 has digital root 7. The neighboring primes are 7898551 and 7898567; its proper-divisor sum differs from the starting integer by 3,012,088.

Prime Factor Structure

Factorization String 2^6 × 5 × 24683
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,809,208
Proper Divisor Sum 10,910,648
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7898551 ← → #7898567

Radix Representation

Decimal 7898560
Binary 11110001000010111000000 (23 bits)
Octal 0o36102700
Hexadecimal 0x7885C0

Divisor Catalog (28)

Collatz Trajectory (155 steps to reach 1)

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

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