7000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 11720
- 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
- 2400
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 7
- 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
- yes
- 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
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=27A004101
- Numbers k such that k^2 and k have same last 3 digits.at n=28A008853
- arcsin(sec(x)*arctanh(x))=x+6/3!*x^3+128/5!*x^5+7000/7!*x^7...at n=3A012842
- Triangle of coefficients in expansion of (1+5x)^n.at n=39A013612
- a(n) = n*(9*n-2).at n=28A013656
- Nearest integer to Gamma(n + 1/8)/Gamma(1/8).at n=9A020028
- a(n) = floor( Gamma(n+1/8)/Gamma(1/8) ).at n=9A020073
- Numbers of form 7^i*10^j, with i, j >= 0.at n=13A025632
- Numbers k such that k^3 has at most three different digits.at n=41A030294
- Numbers k such that 145*2^k+1 is prime.at n=13A032422
- Numbers k whose decimal representation, read as a base-20 value and divided by k, yields an integer.at n=41A032571
- Numbers that contain only one nonzero digit.at n=33A037124
- Triangle whose (i,j)-th entry is 5^(i-j)*binomial(i,j).at n=41A038243
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=32A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=9A038854
- Numbers having three 0's in base 10.at n=6A043491
- T(n,n-3), array T as in A047030.at n=7A047035
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-1)/2.at n=17A047173
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-2)/2.at n=17A047184
- When cubed gives number composed just of the digits 0, 1, 2, 3, 4.at n=19A048792