λ
Modular Archive

1,840,340

22 × 5 × 19 × 29 × 167
Abundant Even Composite

The decimal integer 1,840,340 is 111000001010011010100 in binary (21 bits), 7012324 in octal and 1C14D4 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 29 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,233,600
Proper Divisor Sum 2,393,260
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1840337 ← → #1840351

Radix Representation

Decimal 1840340
Binary 111000001010011010100 (21 bits)
Octal 0o7012324
Hexadecimal 0x1C14D4

Divisor Catalog (48)

1 2 4 5 10 19 20 29 38 58 76 95 116 145 167 190 290 334 380 551 580 668 835 1,102 1,670 2,204 2,755 3,173 3,340 4,843 5,510 6,346 9,686 11,020 12,692 15,865 19,372 24,215 31,730 48,430 63,460 92,017 96,860 184,034 368,068 460,085 920,170 1,840,340

Collatz Trajectory (158 steps to reach 1)

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

1,840,340 920,170 460,085 1,380,256 690,128 345,064 172,532 86,266 43,133 129,400 64,700 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680

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