λ
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3,090,100

22 × 52 × 13 × 2377
Abundant Even Composite

3,090,100 factors as 2^2 × 5^2 × 13 × 2377. Its 36 positive divisors give a proper-divisor sum of 4,134,264, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,224,364
Proper Divisor Sum 4,134,264
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3090097 ← → #3090127

Radix Representation

Decimal 3090100
Binary 1011110010011010110100 (22 bits)
Octal 0o13623264
Hexadecimal 0x2F26B4

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,300 2,377 4,754 9,508 11,885 23,770 30,901 47,540 59,425 61,802 118,850 123,604 154,505 237,700 309,010 618,020 772,525 1,545,050 3,090,100

Collatz Trajectory (102 steps to reach 1)

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

3,090,100 1,545,050 772,525 2,317,576 1,158,788 579,394 289,697 869,092 434,546 217,273 651,820 325,910 162,955 488,866 244,433 733,300 366,650 183,325 549,976 274,988 137,494 68,747 206,242 103,121 309,364 154,682 77,341 232,024 116,012 58,006 29,003 87,010 43,505 130,516 65,258 32,629 97,888 48,944 24,472 12,236 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545

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