2,243,787

3 × 7 × 13 × 8219

Starting at 2,243,787, the Collatz iteration reaches 1 after 117 steps. The first transition is 6731362; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 8219

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,682,560

Proper Divisor Sum 1,438,773

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2243777 ← → #2243789

Radix Representation

Decimal	2243787
Binary	1000100011110011001011 (22 bits)
Octal	0o10436313
Hexadecimal	0x223CCB

Divisor Catalog (16)

1 3 7 13 21 39 91 273 8,219 24,657 57,533 106,847 172,599 320,541 747,929 2,243,787

Collatz Trajectory (117 steps to reach 1)

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

2,243,787 6,731,362 3,365,681 10,097,044 5,048,522 2,524,261 7,572,784 3,786,392 1,893,196 946,598 473,299 1,419,898 709,949 2,129,848 1,064,924 532,462 266,231 798,694 399,347 1,198,042 599,021 1,797,064 898,532 449,266 224,633 673,900 336,950 168,475 505,426 252,713 758,140 379,070 189,535 568,606 284,303 852,910 426,455 1,279,366 639,683 1,919,050 959,525 2,878,576 1,439,288 719,644 359,822 179,911 539,734 269,867 809,602 404,801 1,214,404 607,202 303,601 910,804 455,402 227,701 683,104 341,552 170,776 85,388

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