λ
Harmonic Matrix

4,276,977

3 × 31 × 45989
Deficient Odd Composite

4,276,977 has digital root 6. The neighboring primes are 4276973 and 4276999; its proper-divisor sum differs from the starting integer by -2,667,234.

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Prime Factor Structure

Factorization String 3 × 31 × 45989
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,886,720
Proper Divisor Sum 1,609,743
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4276973 ← → #4276999

Radix Representation

Decimal 4276977
Binary 10000010100001011110001 (23 bits)
Octal 0o20241361
Hexadecimal 0x4142F1

Divisor Catalog (5 of 8)

1 3 31 93 45,989

Collatz Trajectory (167 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.

4,276,977 12,830,932 6,415,466 3,207,733 9,623,200

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