λ
Harmonic Matrix

836,834

2 × 251 × 1667
Deficient Even Composite

836,834 has digital root 5. The neighboring primes are 836833 and 836839; its proper-divisor sum differs from the starting integer by -412,660.

Prime Factor Structure

Factorization String 2 × 251 × 1667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,261,008
Proper Divisor Sum 424,174
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #836833 ← → #836839

Radix Representation

Decimal 836834
Binary 11001100010011100010 (20 bits)
Octal 0o3142342
Hexadecimal 0xCC4E2

Divisor Catalog (8)

1 2 251 502 1,667 3,334 418,417 836,834

Collatz Trajectory (113 steps to reach 1)

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

836,834 418,417 1,255,252 627,626 313,813 941,440 470,720 235,360 117,680 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886

More profiles

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