2,579,266

2 × 23 × 47 × 1193

Starting at 2,579,266, the Collatz iteration reaches 1 after 218 steps. The first transition is 1289633; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 47 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,126,464

Proper Divisor Sum 1,547,198

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2579249 ← → #2579273

Radix Representation

Decimal	2579266
Binary	1001110101101101000010 (22 bits)
Octal	0o11655502
Hexadecimal	0x275B42

Divisor Catalog (16)

1 2 23 46 47 94 1,081 1,193 2,162 2,386 27,439 54,878 56,071 112,142 1,289,633 2,579,266

Collatz Trajectory (218 steps to reach 1)

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

2,579,266 1,289,633 3,868,900 1,934,450 967,225 2,901,676 1,450,838 725,419 2,176,258 1,088,129 3,264,388 1,632,194 816,097 2,448,292 1,224,146 612,073 1,836,220 918,110 459,055 1,377,166 688,583 2,065,750 1,032,875 3,098,626 1,549,313 4,647,940 2,323,970 1,161,985 3,485,956 1,742,978 871,489 2,614,468 1,307,234 653,617 1,960,852 980,426 490,213 1,470,640 735,320 367,660 183,830 91,915 275,746 137,873 413,620 206,810 103,405 310,216 155,108 77,554 38,777 116,332 58,166 29,083 87,250 43,625 130,876 65,438 32,719 98,158

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