7725
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12896
- Proper Divisor Sum (Aliquot Sum)
- 5171
- 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
- 4080
- Möbius Function
- 0
- Radical
- 1545
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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
- 11*n^2 + 11*n + 3.at n=26A006222
- Number of n-element posets which are unions of 2 chains.at n=10A006251
- McKay-Thompson series of class 24F for Monster.at n=24A058576
- McKay-Thompson series of class 24d for Monster.at n=48A058587
- Square spiral sequence: numbers are placed in a square spiral, a(1)=1, a(n) is found as the sum of the row (in the previous direction) a(n-1) is in.at n=21A062410
- 2-apexes of omega: numbers k such that omega(k-2) < omega(k-1) < omega(k) > omega(k+1) > omega(k+2), where omega(m) = the number of distinct prime factors of m.at n=42A076762
- Convolution of sequence of primes with sequence sigma(n).at n=20A086718
- Coefficients of replicable function number 24e.at n=48A112163
- a(n) = T(p(n)) - p(T(n)) = Commutator[triangular numbers, primes] at n.at n=37A123907
- a(n) = floor(n*exp(-sec(n))).at n=7A134911
- Numbers k such that k and k^2 use only the digits 2, 5, 6, 7 and 9.at n=20A137112
- Terms in A046034 which are pairwise products of terms in A046034.at n=16A153446
- Numbers k such that k^6 - 2 and k^6 + 2 are both primes.at n=14A154938
- Row sums of triangle A173302.at n=27A173303
- Number of n X n 0..2 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=4A200769
- Number of nX5 0..2 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=4A200774
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=40A200777
- Total number of smallest parts in all partitions of n minus the total number of smallest parts that are also emergent parts in all partitions of n with at least one distinct part.at n=24A220489
- Triangle T(n,k) represents the coefficients of (x^15*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.at n=12A223517
- Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-1,0,1}.at n=26A239551