7458
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 8958
- 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
- 2240
- Möbius Function
- 1
- Radical
- 7458
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 70
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=40A003378
- Katadromes: digits in base 6 are in strict descending order.at n=59A023788
- a(n) = Sum_{i=1..floor((n+1)/4)} a(2*i-1) * a(n-2*i+1), with a(1)=a(2)=1 and a(3)=2.at n=18A024723
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 86.at n=5A031584
- Numbers whose set of base-15 digits is {2,3}.at n=19A032815
- Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n.at n=34A057252
- a(0)=1, for n>0: a(n) = 6*13^(n-1) - (1/2)*Sum_{i=1..n-1} a(i)*a(n-i).at n=4A085364
- Sum of first n 4-almost primes.at n=42A086046
- Positive integers n such that n^11 + 1 is semiprime.at n=35A105122
- Number of permutations of length n which avoid the patterns 231, 1432, 4123.at n=13A116734
- Number of permutations of length n which avoid the patterns 2341, 4132, 4321.at n=8A116836
- Twice nonagonal numbers (or twice 9-gonal numbers): a(n) = n*(7*n-5).at n=33A139268
- Number of binary words of length n containing at least one subword 10^{10}1 and no subwords 10^{i}1 with i<10.at n=54A143290
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149197
- Averages of twin prime pairs that are sums of 5 consecutive averages of twin prime pairs.at n=6A160919
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=36A179140
- Inverse of Riordan array ((1-x)(1-x^2)(1-x^3)/(1-x^6), x(1-x)(1-x^2)(1-x^3)/(1-x^6)).at n=48A185967
- Number of 7-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=7A187512
- Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=28A188212
- Number of lattice paths from (0,0) to (n,n) which do not go above the diagonal x=y using steps (1,k), (k,1) with k>=0.at n=6A218321