10297
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11776
- Proper Divisor Sum (Aliquot Sum)
- 1479
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8820
- Möbius Function
- 1
- Radical
- 10297
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that Fib(k) == 13 (mod k).at n=45A023178
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=51A025504
- Numerators of continued fraction convergents to sqrt(746).at n=6A042436
- Numbers having four 1's in base 9.at n=29A043460
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,1,4}.at n=40A079956
- a(n) = 15*n^2 + 6*n + 1.at n=26A080861
- Numbers k such that 10^k+9^(k-1) is prime.at n=20A096186
- Column 0 of triangle A118438.at n=12A118439
- Numerators of partial sums of a series for 6*(5 - 4*Zeta(3)).at n=3A130557
- Row l=4 of array in A133713.at n=9A133714
- E.g.f. satisfies A(x) = exp(x*A(x^7/7!)).at n=13A143571
- Number of 3's in the last section of the set of partitions of n.at n=40A182713
- a(n) = 8*n^2 - 2*n + 1.at n=36A185438
- Principal diagonal of the convolution array A213831.at n=13A213832
- Number of simple connected perfect matching graphs on 2n nodes.at n=3A218463
- Semiprimes which have one or more occurrences of exactly five different digits.at n=7A235693
- Five-digit odd semiprimes with all digits distinct.at n=5A247948
- a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)).at n=55A262909
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = determinant.at n=49A280588
- Number of ways of writing n as a sum of n nonnegative cubes.at n=13A291700