4,244,344

2³ × 13 × 37 × 1103

Starting at 4,244,344, the Collatz iteration reaches 1 after 167 steps. The first transition is 2122172; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 37 × 1103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,809,920

Proper Divisor Sum 4,565,576

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4244341 ← → #4244347

Radix Representation

Decimal	4244344
Binary	10000001100001101111000 (23 bits)
Octal	0o20141570
Hexadecimal	0x40C378

Divisor Catalog (32)

1 2 4 8 13 26 37 52 74 104 148 296 481 962 1,103 1,924 2,206 3,848 4,412 8,824 14,339 28,678 40,811 57,356 81,622 114,712 163,244 326,488 530,543 1,061,086 2,122,172 4,244,344

Collatz Trajectory (167 steps to reach 1)

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

4,244,344 2,122,172 1,061,086 530,543 1,591,630 795,815 2,387,446 1,193,723 3,581,170 1,790,585 5,371,756 2,685,878 1,342,939 4,028,818 2,014,409 6,043,228 3,021,614 1,510,807 4,532,422 2,266,211 6,798,634 3,399,317 10,197,952 5,098,976 2,549,488 1,274,744 637,372 318,686 159,343 478,030 239,015 717,046 358,523 1,075,570 537,785 1,613,356 806,678 403,339 1,210,018 605,009 1,815,028 907,514 453,757 1,361,272 680,636 340,318 170,159 510,478 255,239 765,718 382,859 1,148,578 574,289 1,722,868 861,434 430,717 1,292,152 646,076 323,038 161,519

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