7,114,400

2⁵ × 5² × 8893

Starting at 7,114,400, the Collatz iteration reaches 1 after 147 steps. The first transition is 3557200; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 8893

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,369,982

Proper Divisor Sum 10,255,582

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7114399 ← → #7114403

Radix Representation

Decimal	7114400
Binary	11011001000111010100000 (23 bits)
Octal	0o33107240
Hexadecimal	0x6C8EA0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8,893 17,786 35,572 44,465 71,144 88,930 142,288 177,860 222,325 284,576 355,720 444,650 711,440 889,300 1,422,880 1,778,600 3,557,200 7,114,400

Collatz Trajectory (147 steps to reach 1)

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

7,114,400 3,557,200 1,778,600 889,300 444,650 222,325 666,976 333,488 166,744 83,372 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532

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