λ
Harmonic Matrix

1,377,280

210 × 5 × 269
Abundant Even Composite

1,377,280 has digital root 1. The neighboring primes are 1377269 and 1377281; its proper-divisor sum differs from the starting integer by 561,580.

Prime Factor Structure

Factorization String 2^10 × 5 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 3,316,140
Proper Divisor Sum 1,938,860
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1377269 ← → #1377281

Radix Representation

Decimal 1377280
Binary 101010000010000000000 (21 bits)
Octal 0o5202000
Hexadecimal 0x150400

Divisor Catalog (44)

Collatz Trajectory (124 steps to reach 1)

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

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