λ
Sequence Observatory

1,814,160

24 × 3 × 5 × 7559
Abundant Even Composite

Starting at 1,814,160, the Collatz iteration reaches 1 after 127 steps. The first transition is 907080; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,624,640
Proper Divisor Sum 3,810,480
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1814143 ← → #1814161

Radix Representation

Decimal 1814160
Binary 110111010111010010000 (21 bits)
Octal 0o6727220
Hexadecimal 0x1BAE90

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7,559 15,118 22,677 30,236 37,795 45,354 60,472 75,590 90,708 113,385 120,944 151,180 181,416 226,770 302,360 362,832 453,540 604,720 907,080 1,814,160

Collatz Trajectory (127 steps to reach 1)

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

1,814,160 907,080 453,540 226,770 113,385 340,156 170,078 85,039 255,118 127,559 382,678 191,339 574,018 287,009 861,028 430,514 215,257 645,772 322,886 161,443 484,330 242,165 726,496 363,248 181,624 90,812 45,406 22,703 68,110 34,055 102,166 51,083 153,250 76,625 229,876 114,938 57,469 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046

More profiles

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