λ
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3,016,340

22 × 5 × 67 × 2251
Abundant Even Composite

3,016,340 factors as 2^2 × 5 × 67 × 2251. Its 24 positive divisors give a proper-divisor sum of 3,415,372, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 67 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,431,712
Proper Divisor Sum 3,415,372
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3016337 ← → #3016367

Radix Representation

Decimal 3016340
Binary 1011100000011010010100 (22 bits)
Octal 0o13403224
Hexadecimal 0x2E0694

Divisor Catalog (24)

1 2 4 5 10 20 67 134 268 335 670 1,340 2,251 4,502 9,004 11,255 22,510 45,020 150,817 301,634 603,268 754,085 1,508,170 3,016,340

Collatz Trajectory (89 steps to reach 1)

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

3,016,340 1,508,170 754,085 2,262,256 1,131,128 565,564 282,782 141,391 424,174 212,087 636,262 318,131 954,394 477,197 1,431,592 715,796 357,898 178,949 536,848 268,424 134,212 67,106 33,553 100,660 50,330 25,165 75,496 37,748 18,874 9,437 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532

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