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Atlas › Integer Profiles › Node 1,815,320

1,815,320

23 × 5 × 13 × 3491
Abundant Even Composite

Starting at 1,815,320, the Collatz iteration reaches 1 after 65 steps. The first transition is 907660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 3491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,399,920
Proper Divisor Sum 2,584,600
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1815301 ← → #1815323

Radix Representation

Decimal 1815320
Binary 110111011001100011000 (21 bits)
Octal 0o6731430
Hexadecimal 0x1BB318

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3,491 6,982 13,964 17,455 27,928 34,910 45,383 69,820 90,766 139,640 181,532 226,915 363,064 453,830 907,660 1,815,320

Collatz Trajectory (65 steps to reach 1)

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

1,815,320 907,660 453,830 226,915 680,746 340,373 1,021,120 510,560 255,280 127,640 63,820 31,910 15,955 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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