8738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13932
- Proper Divisor Sum (Aliquot Sum)
- 5194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- -1
- Radical
- 8738
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for root lattice B_3.at n=21A022145
- Numbers whose set of base-16 digits is {2,3}.at n=14A032816
- Numbers whose set of base-16 digits is {1,2}.at n=29A032936
- Numbers in which all pairs of consecutive base-4 digits differ by 2.at n=19A033082
- Positive integers having more base-16 runs of even length than odd.at n=33A044842
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=5A045056
- a(n) in base 16 is a repdigit.at n=47A048340
- Numbers k such that sigma(phi(k)) is a prime.at n=25A062514
- Variation of Stechkin's function, A055004.at n=13A062827
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=16A070815
- Determinant of the n X n matrix whose element (i,j) equals the |i-j|-th prime or if i=j, 0.at n=7A071079
- Expansion of 1/((1-x)*(1+2*x+x^2+2*x^3)).at n=14A077931
- Numbers k such that phi(k) is a perfect sixth power.at n=14A078166
- Number of permutations of length n containing the minimum number of monotone subsequences of length 4.at n=9A079104
- Number of permutations of length n, in which all monotone subsequences of length 4 are descending or all such subsequences are ascending, containing the minimum number of such subsequences subject to that constraint.at n=10A079105
- Expansion of 1/((1-2*x)*(1-x^4)).at n=13A083593
- Smallest GF2X-Matula number i which encodes a tree of n nodes, i.e., for which A091238(i) = n.at n=25A091239
- Number of compositions of n in which the smallest part is equal to the number of parts.at n=43A098133
- Decimal form of the binary numbers 10, 100010, 1000100010, 10001000100010, 100010001000100010,...at n=3A098704
- Numbers k such that the k-th prime is in A057468.at n=19A102808