7,418,188

2² × 17 × 43² × 59

Starting at 7,418,188, the Collatz iteration reaches 1 after 111 steps. The first transition is 3709094; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 43^2 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,311,080

Proper Divisor Sum 6,892,892

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7418183 ← → #7418209

Radix Representation

Decimal	7418188
Binary	11100010011000101001100 (23 bits)
Octal	0o34230514
Hexadecimal	0x71314C

Divisor Catalog (36)

1 2 4 17 34 43 59 68 86 118 172 236 731 1,003 1,462 1,849 2,006 2,537 2,924 3,698 4,012 5,074 7,396 10,148 31,433 43,129 62,866 86,258 109,091 125,732 172,516 218,182 436,364 1,854,547 3,709,094 7,418,188

Collatz Trajectory (111 steps to reach 1)

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

7,418,188 3,709,094 1,854,547 5,563,642 2,781,821 8,345,464 4,172,732 2,086,366 1,043,183 3,129,550 1,564,775 4,694,326 2,347,163 7,041,490 3,520,745 10,562,236 5,281,118 2,640,559 7,921,678 3,960,839 11,882,518 5,941,259 17,823,778 8,911,889 26,735,668 13,367,834 6,683,917 20,051,752 10,025,876 5,012,938 2,506,469 7,519,408 3,759,704 1,879,852 939,926 469,963 1,409,890 704,945 2,114,836 1,057,418 528,709 1,586,128 793,064 396,532 198,266 99,133 297,400 148,700 74,350 37,175 111,526 55,763 167,290 83,645 250,936 125,468 62,734 31,367 94,102 47,051

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