3,444,572

2² × 23 × 37441

Starting at 3,444,572, the Collatz iteration reaches 1 after 115 steps. The first transition is 1722286; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 37441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,290,256

Proper Divisor Sum 2,845,684

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3444569 ← → #3444577

Radix Representation

Decimal	3444572
Binary	1101001000111101011100 (22 bits)
Octal	0o15107534
Hexadecimal	0x348F5C

Divisor Catalog (12)

1 2 4 23 46 92 37,441 74,882 149,764 861,143 1,722,286 3,444,572

Collatz Trajectory (115 steps to reach 1)

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

3,444,572 1,722,286 861,143 2,583,430 1,291,715 3,875,146 1,937,573 5,812,720 2,906,360 1,453,180 726,590 363,295 1,089,886 544,943 1,634,830 817,415 2,452,246 1,226,123 3,678,370 1,839,185 5,517,556 2,758,778 1,379,389 4,138,168 2,069,084 1,034,542 517,271 1,551,814 775,907 2,327,722 1,163,861 3,491,584 1,745,792 872,896 436,448 218,224 109,112 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098

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