7,137,724

2² × 11 × 162221

Starting at 7,137,724, the Collatz iteration reaches 1 after 98 steps. The first transition is 3568862; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 162221

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,626,648

Proper Divisor Sum 6,488,924

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7137703 ← → #7137733

Radix Representation

Decimal	7137724
Binary	11011001110100110111100 (23 bits)
Octal	0o33164674
Hexadecimal	0x6CE9BC

Divisor Catalog (12)

1 2 4 11 22 44 162,221 324,442 648,884 1,784,431 3,568,862 7,137,724

Collatz Trajectory (98 steps to reach 1)

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

7,137,724 3,568,862 1,784,431 5,353,294 2,676,647 8,029,942 4,014,971 12,044,914 6,022,457 18,067,372 9,033,686 4,516,843 13,550,530 6,775,265 20,325,796 10,162,898 5,081,449 15,244,348 7,622,174 3,811,087 11,433,262 5,716,631 17,149,894 8,574,947 25,724,842 12,862,421 38,587,264 19,293,632 9,646,816 4,823,408 2,411,704 1,205,852 602,926 301,463 904,390 452,195 1,356,586 678,293 2,034,880 1,017,440 508,720 254,360 127,180 63,590 31,795 95,386 47,693 143,080 71,540 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546

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