λ
Harmonic Matrix

875,084

22 × 7 × 31253
Abundant Even Composite

875,084 has digital root 5. The neighboring primes are 875033 and 875089; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 31253
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,750,224
Proper Divisor Sum 875,140
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #875033 ← → #875089

Radix Representation

Decimal 875084
Binary 11010101101001001100 (20 bits)
Octal 0o3255114
Hexadecimal 0xD5A4C

Divisor Catalog (12)

1 2 4 7 14 28 31,253 62,506 125,012 218,771 437,542 875,084

Collatz Trajectory (69 steps to reach 1)

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

875,084 437,542 218,771 656,314 328,157 984,472 492,236 246,118 123,059 369,178 184,589 553,768 276,884 138,442 69,221 207,664 103,832 51,916 25,958 12,979 38,938 19,469 58,408 29,204 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160

More profiles

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