4,442,013

3³ × 23² × 311

Starting at 4,442,013, the Collatz iteration reaches 1 after 123 steps. The first transition is 13326040; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23^2 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,901,440

Proper Divisor Sum 2,459,427

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4442003 ← → #4442027

Radix Representation

Decimal	4442013
Binary	10000111100011110011101 (23 bits)
Octal	0o20743635
Hexadecimal	0x43C79D

Divisor Catalog (24)

1 3 9 23 27 69 207 311 529 621 933 1,587 2,799 4,761 7,153 8,397 14,283 21,459 64,377 164,519 193,131 493,557 1,480,671 4,442,013

Collatz Trajectory (123 steps to reach 1)

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

4,442,013 13,326,040 6,663,020 3,331,510 1,665,755 4,997,266 2,498,633 7,495,900 3,747,950 1,873,975 5,621,926 2,810,963 8,432,890 4,216,445 12,649,336 6,324,668 3,162,334 1,581,167 4,743,502 2,371,751 7,115,254 3,557,627 10,672,882 5,336,441 16,009,324 8,004,662 4,002,331 12,006,994 6,003,497 18,010,492 9,005,246 4,502,623 13,507,870 6,753,935 20,261,806 10,130,903 30,392,710 15,196,355 45,589,066 22,794,533 68,383,600 34,191,800 17,095,900 8,547,950 4,273,975 12,821,926 6,410,963 19,232,890 9,616,445 28,849,336 14,424,668 7,212,334 3,606,167 10,818,502 5,409,251 16,227,754 8,113,877 24,341,632 12,170,816 6,085,408

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