7551
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10920
- Proper Divisor Sum (Aliquot Sum)
- 3369
- 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
- 5028
- Möbius Function
- 0
- Radical
- 2517
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- no
- Odd
- yes
Appears in sequences
- Sums of 11 distinct powers of 2.at n=34A038462
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=5A045128
- Numbers n such that 25*2^n-1 is prime.at n=25A050538
- a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times.at n=21A058361
- Numbers k such that phi(k) + phi(k+1) divides sigma(k) + sigma(k+1).at n=14A067282
- Number of chains in the power set lattice of an (n+3)-element set X_(n+3) of specification n^1 2^1 1, that is, n identical objects of one kind, 2 identical objects of another kind and one other kind. It is the same as the number of fuzzy subsets X_(n+3).at n=4A107953
- Number of chains in the power set lattice or the number of fuzzy subsets of an (n+5)-element set X_(n+5) with specification n elements of one kind, 4 elements of another and 1 of yet another kind.at n=2A107955
- Divisors of 453060.at n=30A134950
- a(n) = 839*n.at n=9A135639
- Numbers k such that k and k^2 use only the digits 0, 1, 5, 6 and 7.at n=8A136869
- A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.at n=30A143034
- Number of partitions of n having no parts with multiplicity 6.at n=32A184641
- a(n) = 12*n^2 + 2*n + 1.at n=25A194454
- Number of days after Mar 01 00 such that the date written in the format DD.MM.YY is palindromic.at n=6A210887
- Number of nX3 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor.at n=2A220940
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor.at n=12A220943
- Number of nondecreasing -3..3 vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -3..3 vector equals n.at n=9A226417
- Numbers k for which the digital product A007954(k) contains the same distinct digits as the number k.at n=48A249516
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 253", based on the 5-celled von Neumann neighborhood.at n=42A271053
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 259", based on the 5-celled von Neumann neighborhood.at n=42A271057