λ
Sequence Observatory

3,268,564

22 × 13 × 239 × 263
Deficient Even Composite

Starting at 3,268,564, the Collatz iteration reaches 1 after 221 steps. The first transition is 1634282; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 239 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,209,280
Proper Divisor Sum 2,940,716
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3268549 ← → #3268571

Radix Representation

Decimal 3268564
Binary 1100011101111111010100 (22 bits)
Octal 0o14357724
Hexadecimal 0x31DFD4

Divisor Catalog (24)

1 2 4 13 26 52 239 263 478 526 956 1,052 3,107 3,419 6,214 6,838 12,428 13,676 62,857 125,714 251,428 817,141 1,634,282 3,268,564

Collatz Trajectory (221 steps to reach 1)

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

3,268,564 1,634,282 817,141 2,451,424 1,225,712 612,856 306,428 153,214 76,607 229,822 114,911 344,734 172,367 517,102 258,551 775,654 387,827 1,163,482 581,741 1,745,224 872,612 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711 221,134 110,567 331,702 165,851 497,554 248,777 746,332

More profiles

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