λ
Sequence Observatory

3,099,372

22 × 3 × 17 × 15193
Abundant Even Composite

Starting at 3,099,372, the Collatz iteration reaches 1 after 195 steps. The first transition is 1549686; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 15193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,657,776
Proper Divisor Sum 4,558,404
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3099367 ← → #3099391

Radix Representation

Decimal 3099372
Binary 1011110100101011101100 (22 bits)
Octal 0o13645354
Hexadecimal 0x2F4AEC

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 15,193 30,386 45,579 60,772 91,158 182,316 258,281 516,562 774,843 1,033,124 1,549,686 3,099,372

Collatz Trajectory (195 steps to reach 1)

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

3,099,372 1,549,686 774,843 2,324,530 1,162,265 3,486,796 1,743,398 871,699 2,615,098 1,307,549 3,922,648 1,961,324 980,662 490,331 1,470,994 735,497 2,206,492 1,103,246 551,623 1,654,870 827,435 2,482,306 1,241,153 3,723,460 1,861,730 930,865 2,792,596 1,396,298 698,149 2,094,448 1,047,224 523,612 261,806 130,903 392,710 196,355 589,066 294,533 883,600 441,800 220,900 110,450 55,225 165,676 82,838 41,419 124,258 62,129 186,388 93,194 46,597 139,792 69,896 34,948 17,474 8,737 26,212 13,106 6,553 19,660

More profiles

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