λ
Sequence Observatory

2,376,924

22 × 3 × 112 × 1637
Abundant Even Composite

Starting at 2,376,924, the Collatz iteration reaches 1 after 73 steps. The first transition is 1188462; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,099,912
Proper Divisor Sum 3,722,988
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2376883 ← → #2376929

Radix Representation

Decimal 2376924
Binary 1001000100010011011100 (22 bits)
Octal 0o11042334
Hexadecimal 0x2444DC

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 1,637 3,274 4,911 6,548 9,822 18,007 19,644 36,014 54,021 72,028 108,042 198,077 216,084 396,154 594,231 792,308 1,188,462 2,376,924

Collatz Trajectory (73 steps to reach 1)

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

2,376,924 1,188,462 594,231 1,782,694 891,347 2,674,042 1,337,021 4,011,064 2,005,532 1,002,766 501,383 1,504,150 752,075 2,256,226 1,128,113 3,384,340 1,692,170 846,085 2,538,256 1,269,128 634,564 317,282 158,641 475,924 237,962 118,981 356,944 178,472 89,236 44,618 22,309 66,928 33,464 16,732 8,366 4,183 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70

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