λ
Harmonic Matrix

5,701,842

2 × 32 × 316769
Abundant Even Composite

5,701,842 has digital root 9. The neighboring primes are 5701837 and 5701847; its proper-divisor sum differs from the starting integer by 950,346.

Prime Factor Structure

Factorization String 2 × 3^2 × 316769
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,354,030
Proper Divisor Sum 6,652,188
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5701837 ← → #5701847

Radix Representation

Decimal 5701842
Binary 10101110000000011010010 (23 bits)
Octal 0o25600322
Hexadecimal 0x5700D2

Divisor Catalog (12)

1 2 3 6 9 18 316,769 633,538 950,307 1,900,614 2,850,921 5,701,842

Collatz Trajectory (245 steps to reach 1)

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

5,701,842 2,850,921 8,552,764 4,276,382 2,138,191 6,414,574 3,207,287 9,621,862 4,810,931 14,432,794 7,216,397 21,649,192 10,824,596 5,412,298 2,706,149 8,118,448 4,059,224 2,029,612 1,014,806 507,403 1,522,210 761,105 2,283,316 1,141,658 570,829 1,712,488 856,244 428,122 214,061 642,184 321,092 160,546 80,273 240,820 120,410 60,205 180,616 90,308 45,154 22,577 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178

More profiles

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