7972
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13958
- Proper Divisor Sum (Aliquot Sum)
- 5986
- 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
- 3984
- Möbius Function
- 0
- Radical
- 3986
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Molien series for A_11.at n=34A008634
- Number of partitions of n into at most 11 parts.at n=34A008640
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite YUG = Yugawaralite Ca2[Al4Si12O32].8H2O starting from a T2 atom.at n=12A019265
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=20A020425
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u1.at n=24A048189
- Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals).at n=59A055921
- Array giving susceptibility of 2-dimensional Ising model for 1 particle excitation (read by antidiagonals).at n=61A055921
- Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R = (1,0), V = (0,1) and D = (3,1).at n=52A071946
- Number of triangular partitions of n.at n=27A089647
- a(n) is the least k such that k*(prime(n)#)^prime(n) - 1 is prime, where prime(n)# is the n-th primorial.at n=48A101047
- Indices of primes in sequence defined by A(0) = 27, A(n) = 10*A(n-1) + 17 for n > 0.at n=9A101971
- Triangle in A071946 with rows reversed.at n=47A108076
- Strip A117488 of r-1 row values 1,2,5,10,20,36,65 ... A000712.at n=53A117566
- A symmetrical recursion triangular sequence: m=4; e(n,k,m)= (2* k + m - 1)e(n - 1, k, m) + (m*n - 2*k + 1 - m)e(n - 1, k - 1, m); t(n,k)=e(n, k, m) + e(n, n - k, m).at n=17A156233
- A symmetrical recursion triangular sequence: m=4; e(n,k,m)= (2* k + m - 1)e(n - 1, k, m) + (m*n - 2*k + 1 - m)e(n - 1, k - 1, m); t(n,k)=e(n, k, m) + e(n, n - k, m).at n=18A156233
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=9A166256
- Number of (n+1) X 5 0..2 matrices with each 2 X 2 subblock idempotent.at n=11A224672
- Numbers m such that the sum of the digits (sod) of m, m^2, m^3, ..., m^9 are in arithmetic progression: sod(m^(k+1)) - sod(m^k) = f for k=1..8.at n=4A257969
- a(n) is the smallest k (powers of 10 excluded) such that sod(k), sod(k^2),..., sod(k^n) is an arithmetic progression, where sod(m) = A007953(m) is the sum of the digits of m.at n=5A258722
- a(n) is the smallest k (powers of 10 excluded) such that sod(k), sod(k^2),..., sod(k^n) is an arithmetic progression, where sod(m) = A007953(m) is the sum of the digits of m.at n=6A258722