λ
Sigma Notebook

5,341,680

24 × 33 × 5 × 2473
Abundant Even Composite

5,341,680 is even and not a perfect square. Its factorization is 2^4 × 3^3 × 5 × 2473 and its 80 divisors sum to 18,406,560.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 18,406,560
Proper Divisor Sum 13,064,880
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5341669 ← → #5341729

Radix Representation

Decimal 5341680
Binary 10100011000000111110000 (23 bits)
Octal 0o24300760
Hexadecimal 0x5181F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1,080 2,160 2,473 4,946 7,419 9,892 12,365 14,838 19,784 22,257 24,730 29,676 37,095 39,568 44,514 49,460 59,352 66,771 74,190 89,028 98,920 111,285

Collatz Trajectory (170 steps to reach 1)

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

5,341,680 2,670,840 1,335,420 667,710 333,855 1,001,566 500,783 1,502,350 751,175 2,253,526 1,126,763 3,380,290 1,690,145 5,070,436 2,535,218 1,267,609 3,802,828 1,901,414 950,707 2,852,122 1,426,061 4,278,184 2,139,092 1,069,546 534,773 1,604,320 802,160 401,080 200,540 100,270 50,135 150,406 75,203 225,610 112,805 338,416 169,208 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244 160,622 80,311 240,934 120,467 361,402 180,701 542,104 271,052 135,526 67,763 203,290

More profiles

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