λ
Sequence Observatory

2,880,984

23 × 3 × 120041
Abundant Even Composite

Starting at 2,880,984, the Collatz iteration reaches 1 after 94 steps. The first transition is 1440492; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 120041
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,202,520
Proper Divisor Sum 4,321,536
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2880949 ← → #2880991

Radix Representation

Decimal 2880984
Binary 1010111111010111011000 (22 bits)
Octal 0o12772730
Hexadecimal 0x2BF5D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 120,041 240,082 360,123 480,164 720,246 960,328 1,440,492 2,880,984

Collatz Trajectory (94 steps to reach 1)

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

2,880,984 1,440,492 720,246 360,123 1,080,370 540,185 1,620,556 810,278 405,139 1,215,418 607,709 1,823,128 911,564 455,782 227,891 683,674 341,837 1,025,512 512,756 256,378 128,189 384,568 192,284 96,142 48,071 144,214 72,107 216,322 108,161 324,484 162,242 81,121 243,364 121,682 60,841 182,524 91,262 45,631 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274

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