λ
Harmonic Matrix

871,025

52 × 34841
Deficient Odd Composite

871,025 has digital root 5. The neighboring primes are 871021 and 871027; its proper-divisor sum differs from the starting integer by -661,948.

Prime Factor Structure

Factorization String 5^2 × 34841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,080,102
Proper Divisor Sum 209,077
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #871021 ← → #871027

Radix Representation

Decimal 871025
Binary 11010100101001110001 (20 bits)
Octal 0o3245161
Hexadecimal 0xD4A71

Divisor Catalog (6)

1 5 25 34,841 174,205 871,025

Collatz Trajectory (95 steps to reach 1)

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

871,025 2,613,076 1,306,538 653,269 1,959,808 979,904 489,952 244,976 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536

More profiles

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