7588
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15232
- Proper Divisor Sum (Aliquot Sum)
- 7644
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 3794
- Omega Function (Ω)
- 4
- 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
- 70
- 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
- Smallest multiple of n whose digits sum to n.at n=28A002998
- Numbers that are the sum of 8 nonzero 8th powers.at n=13A003386
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=24A015629
- Numbers k such that k | 12^k + 12.at n=22A015904
- Least term in period of continued fraction for sqrt(n) is 6.at n=35A031430
- Multiplicity of highest weight (or singular) vectors associated with character chi_8 of Monster module.at n=40A034396
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=33A045276
- 22-gonal numbers: a(n) = n*(10*n-9).at n=28A051874
- Numbers k such that k^2 contains only digits {4,5,7}.at n=4A053950
- Smallest proper multiple of n with digit sum n.at n=27A069035
- Smallest multiple of n with two or more digits, none of them zeros, whose digit sum equals n, or 0 if no such multiple exists.at n=27A077754
- Numbers n such that 9*10^n + 6*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=16A103104
- Admirable Harshad numbers.at n=35A111947
- Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n.at n=7A111948
- Start with 1 and repeatedly reverse the digits and add 73 to get the next term.at n=45A118221
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=36A118632
- Elements of A011185 that are also the sum of a pair of distinct elements of A011185.at n=16A133605
- Numbers k such that k and k^2 use only the digits 0, 4, 5, 7 and 8.at n=5A136951
- Numbers k such that k and k^2 use only the digits 1, 4, 5, 7 and 8.at n=5A137049
- Numbers k such that k and k^2 use only the digits 2, 4, 5, 7 and 8.at n=14A137097