7150
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15624
- Proper Divisor Sum (Aliquot Sum)
- 8474
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2400
- Möbius Function
- 0
- Radical
- 1430
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 49
- 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
- One-half of number of permutations of [n] with exactly one run of adjacent symbols differing by 1.at n=7A000239
- Coordination sequence for alpha-Mn, Position Mn4.at n=22A009953
- Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2).at n=22A010030
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T2 atom.at n=12A019137
- Expansion of 1/((1-x)(1-3x)(1-10x)(1-12x)).at n=3A021724
- a(n) = (n+1)*binomial(n+4, 4).at n=9A027800
- a(n) = 55*(n+1)*binomial(n+4,12).at n=1A027808
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=47A028364
- Triangle read by rows: T(n,m) = Sum Catalan(n-k)*Catalan(k), k=0..m.at n=58A028376
- Concatenate rows of triangle in A028364 (removing duplicates).at n=39A028378
- Theta series of 10-d 11-modular Craig lattice A_10^(3).at n=9A028995
- "CHJ" (necklace, identity, labeled) transform of 1,3,5,7...at n=5A032332
- a(n) = (n-3)*A006918(n-2)/2 for n >= 2, with a(0) = a(1) = 0.at n=25A038376
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=28A045151
- First numerator and then denominator of the central elements of the 1/3-Pascal triangle (by row).at n=16A046543
- First denominator and then numerator of the central elements of the 1/3-Pascal triangle (by row).at n=17A046544
- Distinct numbers in writing first numerator and then denominator of the central elements of the 1/3-Pascal triangle (by row).at n=8A046545
- Even numbers in the numerators of the 1/3-Pascal triangle (by row).at n=53A046558
- Distinct even numbers in the numerators of the 1/3-Pascal triangle (by row).at n=29A046559
- Row 3 of array in A047666.at n=21A047667