λ
Harmonic Matrix

3,796,450

2 × 52 × 7 × 10847
Abundant Even Composite

3,796,450 has digital root 7. The neighboring primes are 3796399 and 3796451; its proper-divisor sum differs from the starting integer by 478,012.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 10847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,070,912
Proper Divisor Sum 4,274,462
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3796399 ← → #3796451

Radix Representation

Decimal 3796450
Binary 1110011110110111100010 (22 bits)
Octal 0o16366742
Hexadecimal 0x39EDE2

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 10,847 21,694 54,235 75,929 108,470 151,858 271,175 379,645 542,350 759,290 1,898,225 3,796,450

Collatz Trajectory (102 steps to reach 1)

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

3,796,450 1,898,225 5,694,676 2,847,338 1,423,669 4,271,008 2,135,504 1,067,752 533,876 266,938 133,469 400,408 200,204 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088

More profiles

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