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Atlas › Integer Profiles › Node 5,337,040

5,337,040

24 × 5 × 66713
Abundant Even Composite

5,337,040 factors as 2^4 × 5 × 66713. Its 20 positive divisors give a proper-divisor sum of 7,071,764, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 66713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,408,804
Proper Divisor Sum 7,071,764
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5337023 ← → #5337049

Radix Representation

Decimal 5337040
Binary 10100010110111111010000 (23 bits)
Octal 0o24267720
Hexadecimal 0x516FD0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 66,713 133,426 266,852 333,565 533,704 667,130 1,067,408 1,334,260 2,668,520 5,337,040

Collatz Trajectory (263 steps to reach 1)

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

5,337,040 2,668,520 1,334,260 667,130 333,565 1,000,696 500,348 250,174 125,087 375,262 187,631 562,894 281,447 844,342 422,171 1,266,514 633,257 1,899,772 949,886 474,943 1,424,830 712,415 2,137,246 1,068,623 3,205,870 1,602,935 4,808,806 2,404,403 7,213,210 3,606,605 10,819,816 5,409,908 2,704,954 1,352,477 4,057,432 2,028,716 1,014,358 507,179 1,521,538 760,769 2,282,308 1,141,154 570,577 1,711,732 855,866 427,933 1,283,800 641,900 320,950 160,475 481,426 240,713 722,140 361,070 180,535 541,606 270,803 812,410 406,205 1,218,616

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