7882
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
- 8
- Divisor Sum
- 13536
- Proper Divisor Sum (Aliquot Sum)
- 5654
- 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
- 3372
- Möbius Function
- -1
- Radical
- 7882
- Omega Function (Ω)
- 3
- 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
- 26
- 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 k such that the continued fraction for sqrt(k) has period 56.at n=39A020395
- Second differences of partition numbers A000041.at n=52A053445
- Number of 3-element antichains on an unlabeled n-element set; equivalence classes of monotone Boolean functions of n variables with 3 mincuts under action of symmetric group S_n.at n=13A056778
- Numbers n such that n | sigma_3(n) + sigma_2(n) + sigma_1(n) + sigma_0(n).at n=14A058076
- McKay-Thompson series of class 30D for Monster.at n=32A058615
- Expansion of 1/(1-2*x-3*x^2-3*x^3).at n=8A077832
- Structured pentagonal hexacontahedral numbers (vertex structure 10).at n=6A100170
- McKay-Thompson series of class 16a for the Monster group.at n=15A112150
- a(n) = 4*n^2 + 28*n + 10.at n=40A153644
- First of two sequences bisecting the second differences of the partition numbers (see A053445).at n=26A160644
- Table of the elementary symmetric functions a_k(1,3,4,...,n+1).at n=39A196841
- McKay-Thompson series of class 30D for the Monster group with a(0) = 2.at n=32A205962
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209774; see the Formula section.at n=42A209773
- Number of 0..3 arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..3 order.at n=8A212824
- T(n,k)=Number of 0..k arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..k order.at n=63A212829
- Irregular triangle read by rows: T(n,k) is the number of permutations in C_n (= the 1-cycles in S_n) having k stretching pairs.at n=32A216121
- Expansion of chi(x^5)^6 + x * chi(x)^6 in powers of x where chi() is a Ramanujan theta function.at n=16A240948
- Indices of terms of A288349 that are powers of 2.at n=7A288492
- Number of primes less than 10^n with digits in nonincreasing order.at n=10A345326
- Smallest number for which the sum of digits in fractional base 4/3 is n.at n=51A357425