3,402,743

3402743

Starting at 3,402,743, the Collatz iteration reaches 1 after 128 steps. The first transition is 10208230; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3402743

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 3,402,744

Proper Divisor Sum 1

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3402739 ← → #3402787

Radix Representation

Decimal	3402743
Binary	1100111110101111110111 (22 bits)
Octal	0o14765767
Hexadecimal	0x33EBF7

Divisor Catalog (2)

1 3,402,743

Collatz Trajectory (128 steps to reach 1)

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

3,402,743 10,208,230 5,104,115 15,312,346 7,656,173 22,968,520 11,484,260 5,742,130 2,871,065 8,613,196 4,306,598 2,153,299 6,459,898 3,229,949 9,689,848 4,844,924 2,422,462 1,211,231 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

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