2,191,257

3² × 243473

Starting at 2,191,257, the Collatz iteration reaches 1 after 86 steps. The first transition is 6573772; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 243473

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,165,162

Proper Divisor Sum 973,905

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2191247 ← → #2191261

Radix Representation

Decimal	2191257
Binary	1000010110111110011001 (22 bits)
Octal	0o10267631
Hexadecimal	0x216F99

Divisor Catalog (6)

1 3 9 243,473 730,419 2,191,257

Collatz Trajectory (86 steps to reach 1)

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

2,191,257 6,573,772 3,286,886 1,643,443 4,930,330 2,465,165 7,395,496 3,697,748 1,848,874 924,437 2,773,312 1,386,656 693,328 346,664 173,332 86,666 43,333 130,000 65,000 32,500 16,250 8,125 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65

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