10547
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 253
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10296
- Möbius Function
- 1
- Radical
- 10547
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- Coefficients of the '2nd-order' mock theta function A(q).at n=35A006304
- Bond percolation series for square lattice.at n=16A006727
- 5th-order maximal independent sets in cycle graph.at n=52A007388
- Denominators of continued fraction convergents to sqrt(699).at n=11A042345
- Numbers n such that 183*2^n-1 is prime.at n=20A050843
- Composite numbers not divisible by 2 or 3 which in base 3 contain their largest proper factor as a substring.at n=15A063132
- Sum of first n 6-almost primes.at n=24A086052
- Number of permutations of length n which avoid the patterns 123, 3142, 4312; or avoid the patterns 123, 3421, 4231.at n=38A116721
- Composite numbers generated by the Euler polynomial x^2 + x + 41.at n=14A145292
- Prime-generating polynomial: a(n) = 16*n^2 - 300*n + 1447.at n=35A181973
- Number of ternary strings of length n containing 00.at n=9A186244
- a(n) = 9*n^2 + 39*n + 83.at n=32A210527
- a(n) = a(n-1) + a(n-2) + n + 3 with n>1, a(0) = a(1) = 0.at n=16A210731
- a(n) = 4*n^2 - 482*n + 14561.at n=9A213810
- Number of n-digit 8th powers.at n=36A216658
- Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, up; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows.at n=16A227884
- Semiprimes generated by the Euler polynomial x^2 + x + 41.at n=14A228183
- Semiprimes which have one or more occurrences of exactly five different digits.at n=33A235693
- Five-digit odd semiprimes with all digits distinct.at n=25A247948
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 822", based on the 5-celled von Neumann neighborhood.at n=26A272847