λ
Sigma Notebook

2,366,800

24 × 52 × 61 × 97
Abundant Even Composite

2,366,800 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 61 × 97 and its 60 divisors sum to 5,839,036.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 61 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,839,036
Proper Divisor Sum 3,472,236
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2366797 ← → #2366801

Radix Representation

Decimal 2366800
Binary 1001000001110101010000 (22 bits)
Octal 0o11016520
Hexadecimal 0x241D50

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 61 80 97 100 122 194 200 244 305 388 400 485 488 610 776 970 976 1,220 1,525 1,552 1,940 2,425 2,440 3,050 3,880 4,850 4,880 5,917 6,100 7,760 9,700 11,834 12,200 19,400 23,668 24,400 29,585 38,800 47,336 59,170 94,672 118,340 147,925 236,680 295,850 473,360 591,700 1,183,400 2,366,800

Collatz Trajectory (161 steps to reach 1)

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

2,366,800 1,183,400 591,700 295,850 147,925 443,776 221,888 110,944 55,472 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71

More profiles

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