7,267,388

2² × 479 × 3793

Starting at 7,267,388, the Collatz iteration reaches 1 after 111 steps. The first transition is 3633694; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 479 × 3793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,747,840

Proper Divisor Sum 5,480,452

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7267363 ← → #7267391

Radix Representation

Decimal	7267388
Binary	11011101110010000111100 (23 bits)
Octal	0o33562074
Hexadecimal	0x6EE43C

Divisor Catalog (12)

1 2 4 479 958 1,916 3,793 7,586 15,172 1,816,847 3,633,694 7,267,388

Collatz Trajectory (111 steps to reach 1)

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

7,267,388 3,633,694 1,816,847 5,450,542 2,725,271 8,175,814 4,087,907 12,263,722 6,131,861 18,395,584 9,197,792 4,598,896 2,299,448 1,149,724 574,862 287,431 862,294 431,147 1,293,442 646,721 1,940,164 970,082 485,041 1,455,124 727,562 363,781 1,091,344 545,672 272,836 136,418 68,209 204,628 102,314 51,157 153,472 76,736 38,368 19,184 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282

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