444,081

3 × 11 × 13457

Starting at 444,081, the Collatz iteration reaches 1 after 187 steps. The first transition is 1332244; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 645,984

Proper Divisor Sum 201,903

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #444079 ← → #444089

Radix Representation

Decimal	444081
Binary	1101100011010110001 (19 bits)
Octal	0o1543261
Hexadecimal	0x6C6B1

Divisor Catalog (8)

1 3 11 33 13,457 40,371 148,027 444,081

Collatz Trajectory (187 steps to reach 1)

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

444,081 1,332,244 666,122 333,061 999,184 499,592 249,796 124,898 62,449 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470

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