λ
Modular Archive

1,840,440

23 × 3 × 5 × 72 × 313
Abundant Even Composite

The decimal integer 1,840,440 is 111000001010100111000 in binary (21 bits), 7012470 in octal and 1C1538 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^2 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 6,443,280
Proper Divisor Sum 4,602,840
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1840429 ← → #1840441

Radix Representation

Decimal 1840440
Binary 111000001010100111000 (21 bits)
Octal 0o7012470
Hexadecimal 0x1C1538

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 313 392 420 490 588 626 735 840 939 980 1,176 1,252 1,470 1,565 1,878 1,960 2,191 2,504 2,940 3,130 3,756 4,382 4,695 5,880

Collatz Trajectory (96 steps to reach 1)

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

1,840,440 920,220 460,110 230,055 690,166 345,083 1,035,250 517,625 1,552,876 776,438 388,219 1,164,658 582,329 1,746,988 873,494 436,747 1,310,242 655,121 1,965,364 982,682 491,341 1,474,024 737,012 368,506 184,253 552,760 276,380 138,190 69,095 207,286 103,643 310,930 155,465 466,396 233,198 116,599 349,798 174,899 524,698 262,349 787,048 393,524 196,762 98,381 295,144 147,572 73,786 36,893 110,680 55,340 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674

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