4,144,641

3 × 19² × 43 × 89

Starting at 4,144,641, the Collatz iteration reaches 1 after 296 steps. The first transition is 12433924; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 19^2 × 43 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,035,040

Proper Divisor Sum 1,890,399

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4144633 ← → #4144663

Radix Representation

Decimal	4144641
Binary	1111110011111000000001 (22 bits)
Octal	0o17637001
Hexadecimal	0x3F3E01

Divisor Catalog (24)

1 3 19 43 57 89 129 267 361 817 1,083 1,691 2,451 3,827 5,073 11,481 15,523 32,129 46,569 72,713 96,387 218,139 1,381,547 4,144,641

Collatz Trajectory (296 steps to reach 1)

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

4,144,641 12,433,924 6,216,962 3,108,481 9,325,444 4,662,722 2,331,361 6,994,084 3,497,042 1,748,521 5,245,564 2,622,782 1,311,391 3,934,174 1,967,087 5,901,262 2,950,631 8,851,894 4,425,947 13,277,842 6,638,921 19,916,764 9,958,382 4,979,191 14,937,574 7,468,787 22,406,362 11,203,181 33,609,544 16,804,772 8,402,386 4,201,193 12,603,580 6,301,790 3,150,895 9,452,686 4,726,343 14,179,030 7,089,515 21,268,546 10,634,273 31,902,820 15,951,410 7,975,705 23,927,116 11,963,558 5,981,779 17,945,338 8,972,669 26,918,008 13,459,004 6,729,502 3,364,751 10,094,254 5,047,127 15,141,382 7,570,691 22,712,074 11,356,037 34,068,112

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