λ
Harmonic Matrix

1,634,706

2 × 32 × 197 × 461
Abundant Even Composite

1,634,706 has digital root 9. The neighboring primes are 1634693 and 1634719; its proper-divisor sum differs from the starting integer by 298,152.

Prime Factor Structure

Factorization String 2 × 3^2 × 197 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,567,564
Proper Divisor Sum 1,932,858
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1634693 ← → #1634719

Radix Representation

Decimal 1634706
Binary 110001111000110010010 (21 bits)
Octal 0o6170622
Hexadecimal 0x18F192

Divisor Catalog (24)

1 2 3 6 9 18 197 394 461 591 922 1,182 1,383 1,773 2,766 3,546 4,149 8,298 90,817 181,634 272,451 544,902 817,353 1,634,706

Collatz Trajectory (101 steps to reach 1)

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

1,634,706 817,353 2,452,060 1,226,030 613,015 1,839,046 919,523 2,758,570 1,379,285 4,137,856 2,068,928 1,034,464 517,232 258,616 129,308 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370

More profiles

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