λ
Harmonic Matrix

2,837,575

52 × 13 × 8731
Deficient Odd Composite

2,837,575 has digital root 1. The neighboring primes are 2837557 and 2837581; its proper-divisor sum differs from the starting integer by -1,885,462.

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Prime Factor Structure

Factorization String 5^2 × 13 × 8731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,789,688
Proper Divisor Sum 952,113
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2837557 ← → #2837581

Radix Representation

Decimal 2837575
Binary 1010110100110001000111 (22 bits)
Octal 0o12646107
Hexadecimal 0x2B4C47

Divisor Catalog (5 of 12)

1 5 13 25 65

Collatz Trajectory (244 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,837,575 8,512,726 4,256,363 12,769,090 6,384,545

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