λ
Prime Ledger

2,122,400

25 × 52 × 7 × 379
Abundant Even Composite

2,122,400 has the prime decomposition 2^5 × 5^2 × 7 × 379. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 5,937,120
Proper Divisor Sum 3,814,720
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2122381 ← → #2122409

Radix Representation

Decimal 2122400
Binary 1000000110001010100000 (22 bits)
Octal 0o10061240
Hexadecimal 0x2062A0

Divisor Catalog (60 of 72)

Collatz Trajectory (47 steps to reach 1)

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

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