2997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 4598
- Proper Divisor Sum (Aliquot Sum)
- 1601
- 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
- 1944
- Möbius Function
- 0
- Radical
- 111
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Number of bipartite partitions.at n=9A002765
- Coordination sequence T1 for Zeolite Code LTN.at n=38A008140
- Erroneous version of A348211.at n=23A013561
- Erroneous version of A348211.at n=25A013561
- Number of trees on n nodes with forbidden limbs.at n=14A014270
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=28A014854
- Numbers k such that k divides s(k), where s(1)=1, s(j)= s(j-1) + j*7^(j-1).at n=16A014948
- Numbers m such that m divides 10^m - 1.at n=11A014950
- Numbers k such that k | 11^k + 1.at n=13A015960
- Numerator of sum of -3rd powers of divisors of n.at n=21A017669
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11).at n=46A017851
- Pseudoprimes to base 80.at n=25A020208
- a(n) = sum of the numbers between the two n's in A026366.at n=28A026369
- Divisors of 999999999.at n=9A027889
- Number of proper factorizations of p1^n*p2^7, where p1 and p2 are distinct primes.at n=7A031130
- Numbers whose set of base-14 digits is {1,4}.at n=16A032826
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=27A033954
- Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=27A035987
- Composite numbers whose prime factors contain no digits other than 3 and 7.at n=38A036316
- Coordination sequence T15 for Zeolite Code STT.at n=36A038427