2,615,268

2² × 3 × 47 × 4637

Starting at 2,615,268, the Collatz iteration reaches 1 after 311 steps. The first transition is 1307634; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 4637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,233,472

Proper Divisor Sum 3,618,204

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2615257 ← → #2615279

Radix Representation

Decimal	2615268
Binary	1001111110011111100100 (22 bits)
Octal	0o11763744
Hexadecimal	0x27E7E4

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 4,637 9,274 13,911 18,548 27,822 55,644 217,939 435,878 653,817 871,756 1,307,634 2,615,268

Collatz Trajectory (311 steps to reach 1)

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

2,615,268 1,307,634 653,817 1,961,452 980,726 490,363 1,471,090 735,545 2,206,636 1,103,318 551,659 1,654,978 827,489 2,482,468 1,241,234 620,617 1,861,852 930,926 465,463 1,396,390 698,195 2,094,586 1,047,293 3,141,880 1,570,940 785,470 392,735 1,178,206 589,103 1,767,310 883,655 2,650,966 1,325,483 3,976,450 1,988,225 5,964,676 2,982,338 1,491,169 4,473,508 2,236,754 1,118,377 3,355,132 1,677,566 838,783 2,516,350 1,258,175 3,774,526 1,887,263 5,661,790 2,830,895 8,492,686 4,246,343 12,739,030 6,369,515 19,108,546 9,554,273 28,662,820 14,331,410 7,165,705 21,497,116

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