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Atlas › Integer Profiles › Node 5,197,818

5,197,818

2 × 3 × 17 × 131 × 389
Abundant Even Composite

Starting at 5,197,818, the Collatz iteration reaches 1 after 268 steps. The first transition is 2598909; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 131 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,119,680
Proper Divisor Sum 5,921,862
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5197789 ← → #5197823

Radix Representation

Decimal 5197818
Binary 10011110100111111111010 (23 bits)
Octal 0o23647772
Hexadecimal 0x4F4FFA

Divisor Catalog (32)

1 2 3 6 17 34 51 102 131 262 389 393 778 786 1,167 2,227 2,334 4,454 6,613 6,681 13,226 13,362 19,839 39,678 50,959 101,918 152,877 305,754 866,303 1,732,606 2,598,909 5,197,818

Collatz Trajectory (268 steps to reach 1)

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

5,197,818 2,598,909 7,796,728 3,898,364 1,949,182 974,591 2,923,774 1,461,887 4,385,662 2,192,831 6,578,494 3,289,247 9,867,742 4,933,871 14,801,614 7,400,807 22,202,422 11,101,211 33,303,634 16,651,817 49,955,452 24,977,726 12,488,863 37,466,590 18,733,295 56,199,886 28,099,943 84,299,830 42,149,915 126,449,746 63,224,873 189,674,620 94,837,310 47,418,655 142,255,966 71,127,983 213,383,950 106,691,975 320,075,926 160,037,963 480,113,890 240,056,945 720,170,836 360,085,418 180,042,709 540,128,128 270,064,064 135,032,032 67,516,016 33,758,008 16,879,004 8,439,502 4,219,751 12,659,254 6,329,627 18,988,882 9,494,441 28,483,324 14,241,662 7,120,831

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