λ
Harmonic Matrix

862,990

2 × 5 × 211 × 409
Deficient Even Composite

862,990 has digital root 7. The neighboring primes are 862987 and 862991; its proper-divisor sum differs from the starting integer by -161,420.

Prime Factor Structure

Factorization String 2 × 5 × 211 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,564,560
Proper Divisor Sum 701,570
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #862987 ← → #862991

Radix Representation

Decimal 862990
Binary 11010010101100001110 (20 bits)
Octal 0o3225416
Hexadecimal 0xD2B0E

Divisor Catalog (16)

1 2 5 10 211 409 422 818 1,055 2,045 2,110 4,090 86,299 172,598 431,495 862,990

Collatz Trajectory (51 steps to reach 1)

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

862,990 431,495 1,294,486 647,243 1,941,730 970,865 2,912,596 1,456,298 728,149 2,184,448 1,092,224 546,112 273,056 136,528 68,264 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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