2,624,820

2² × 3 × 5 × 11 × 41 × 97

Starting at 2,624,820, the Collatz iteration reaches 1 after 187 steps. The first transition is 1312410; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 41 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,297,856

Proper Divisor Sum 5,673,036

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2624813 ← → #2624837

Radix Representation

Decimal	2624820
Binary	1010000000110100110100 (22 bits)
Octal	0o12006464
Hexadecimal	0x280D34

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 97 110 123 132 164 165 194 205 220 246 291 330 388 410 451 485 492 582 615 660 820 902 970 1,067 1,164 1,230 1,353 1,455 1,804 1,940 2,134 2,255 2,460 2,706 2,910 3,201 3,977 4,268 4,510 5,335

Collatz Trajectory (187 steps to reach 1)

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

2,624,820 1,312,410 656,205 1,968,616 984,308 492,154 246,077 738,232 369,116 184,558 92,279 276,838 138,419 415,258 207,629 622,888 311,444 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780

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