λ
Sequence Observatory

5,097,246

2 × 3 × 7 × 112 × 17 × 59
Abundant Even Composite

Starting at 5,097,246, the Collatz iteration reaches 1 after 87 steps. The first transition is 2548623; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11^2 × 17 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 8,692,194
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5097241 ← → #5097247

Radix Representation

Decimal 5097246
Binary 10011011100011100011110 (23 bits)
Octal 0o23343436
Hexadecimal 0x4DC71E

Divisor Catalog (60 of 96)

1 2 3 6 7 11 14 17 21 22 33 34 42 51 59 66 77 102 118 119 121 154 177 187 231 238 242 354 357 363 374 413 462 561 649 714 726 826 847 1,003 1,122 1,239 1,298 1,309 1,694 1,947 2,006 2,057 2,478 2,541 2,618 3,009 3,894 3,927 4,114 4,543 5,082 6,018 6,171 7,021

Collatz Trajectory (87 steps to reach 1)

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

5,097,246 2,548,623 7,645,870 3,822,935 11,468,806 5,734,403 17,203,210 8,601,605 25,804,816 12,902,408 6,451,204 3,225,602 1,612,801 4,838,404 2,419,202 1,209,601 3,628,804 1,814,402 907,201 2,721,604 1,360,802 680,401 2,041,204 1,020,602 510,301 1,530,904 765,452 382,726 191,363 574,090 287,045 861,136 430,568 215,284 107,642 53,821 161,464 80,732 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390

More profiles

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