6860
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 9940
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2352
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = n^3 + 1.at n=20A001093
- sigma_3(n): sum of cubes of divisors of n.at n=18A001158
- Expansion of 8-dimensional cusp form.at n=19A002408
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=20A002413
- Number of alternating sign n X n matrices invariant under a quarter turn.at n=11A005160
- Fourier coefficients of E_{infinity,4}.at n=19A007331
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=18A008457
- Aliquot sequence starting at 180.at n=22A008891
- Expansion of e.g.f. exp(log(1+x)/cos(x)).at n=8A009196
- Triangle of coefficients in expansion of (1+7x)^n.at n=24A013614
- Triangle of coefficients in expansion of (5+7x)^n.at n=13A013626
- Numerator of sum of -3rd powers of divisors of n.at n=18A017669
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j).at n=24A027466
- Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded).at n=17A034126
- Sum of cubes of unitary divisors of n.at n=18A034677
- Expansion of 1/(1-49*x)^(1/7); related to sept-factorial numbers A045754.at n=3A034835
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*5^j.at n=11A038271
- a(n) = sigma_3(2*n+1).at n=9A045823
- Numbers k that divide sigma(k) * phi(k) and are not divisible by 6.at n=33A047630
- Sum of cubes of odd divisors of n.at n=18A051000