1450
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2790
- Proper Divisor Sum (Aliquot Sum)
- 1340
- 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
- 560
- Möbius Function
- 0
- Radical
- 290
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=13A000443
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=33A001157
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=40A002311
- a(1) = 1; a(2) = 2; a(n) == a(k) (mod n-k) for all 1 < k < n.at n=9A002987
- a(n) is the number of hierarchical linear models on n labeled factors allowing 2-way interactions (but no higher order interactions); or the number of simple labeled graphs with nodes chosen from an n-set.at n=5A006896
- Coordination sequence T9 for Zeolite Code MFI.at n=24A008172
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=47A008772
- Coordination sequence T1 for Zeolite Code WEI.at n=27A009917
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=14A010339
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=20A015631
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=51A017873
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T6 atom.at n=10A019163
- Numbers whose base-7 representation is the juxtaposition of two identical strings.at n=28A020335
- Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=9A020478
- Expansion of Product_{m >= 1} (1-m*q^m)^10.at n=7A022670
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = A000201 (lower Wythoff sequence).at n=54A024373
- a(n) = t(1) - t(2) + t(3) + ... + c*t(n), where c = (-1)^(n+1) and t(j) are Stirling numbers S(n,k) in decreasing order, for k = 1,2,...,n.at n=7A024432
- Numbers that are the sum of 2 nonzero squares in exactly 3 ways.at n=12A025286
- Numbers that are the sum of 2 nonzero squares in 3 or more ways.at n=13A025294
- Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.at n=11A025304