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Atlas › Integer Profiles › Node 3,840,820

3,840,820

22 × 5 × 181 × 1061
Abundant Even Composite

3,840,820 factors as 2^2 × 5 × 181 × 1061. Its 24 positive divisors give a proper-divisor sum of 4,277,108, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 181 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,117,928
Proper Divisor Sum 4,277,108
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3840791 ← → #3840821

Radix Representation

Decimal 3840820
Binary 1110101001101100110100 (22 bits)
Octal 0o16515464
Hexadecimal 0x3A9B34

Divisor Catalog (24)

1 2 4 5 10 20 181 362 724 905 1,061 1,810 2,122 3,620 4,244 5,305 10,610 21,220 192,041 384,082 768,164 960,205 1,920,410 3,840,820

Collatz Trajectory (172 steps to reach 1)

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

3,840,820 1,920,410 960,205 2,880,616 1,440,308 720,154 360,077 1,080,232 540,116 270,058 135,029 405,088 202,544 101,272 50,636 25,318 12,659 37,978 18,989 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067

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