λ
Sequence Observatory

2,426,160

24 × 3 × 5 × 11 × 919
Abundant Even Composite

Starting at 2,426,160, the Collatz iteration reaches 1 after 298 steps. The first transition is 1213080; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 8,213,760
Proper Divisor Sum 5,787,600
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2426143 ← → #2426183

Radix Representation

Decimal 2426160
Binary 1001010000010100110000 (22 bits)
Octal 0o11202460
Hexadecimal 0x250530

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 919 1,320 1,838 2,640 2,757 3,676 4,595 5,514 7,352 9,190 10,109 11,028 13,785 14,704 18,380 20,218 22,056 27,570 30,327 36,760 40,436 44,112

Collatz Trajectory (298 steps to reach 1)

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

2,426,160 1,213,080 606,540 303,270 151,635 454,906 227,453 682,360 341,180 170,590 85,295 255,886 127,943 383,830 191,915 575,746 287,873 863,620 431,810 215,905 647,716 323,858 161,929 485,788 242,894 121,447 364,342 182,171 546,514 273,257 819,772 409,886 204,943 614,830 307,415 922,246 461,123 1,383,370 691,685 2,075,056 1,037,528 518,764 259,382 129,691 389,074 194,537 583,612 291,806 145,903 437,710 218,855 656,566 328,283 984,850 492,425 1,477,276 738,638 369,319 1,107,958 553,979

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