7,348,164

2² × 3 × 113 × 5419

Starting at 7,348,164, the Collatz iteration reaches 1 after 204 steps. The first transition is 3674082; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 5419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,300,640

Proper Divisor Sum 9,952,476

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7348157 ← → #7348169

Radix Representation

Decimal	7348164
Binary	11100000001111111000100 (23 bits)
Octal	0o34017704
Hexadecimal	0x701FC4

Divisor Catalog (24)

1 2 3 4 6 12 113 226 339 452 678 1,356 5,419 10,838 16,257 21,676 32,514 65,028 612,347 1,224,694 1,837,041 2,449,388 3,674,082 7,348,164

Collatz Trajectory (204 steps to reach 1)

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

7,348,164 3,674,082 1,837,041 5,511,124 2,755,562 1,377,781 4,133,344 2,066,672 1,033,336 516,668 258,334 129,167 387,502 193,751 581,254 290,627 871,882 435,941 1,307,824 653,912 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654

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