10176
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 27432
- Proper Divisor Sum (Aliquot Sum)
- 17256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3328
- Möbius Function
- 0
- Radical
- 318
- Omega Function (Ω)
- 8
- 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
- 60
- 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
- Number of partitions of n, with three kinds of 1,2 and 3 and two kinds of 4,5,6,....at n=13A000715
- Expansion of exp(tan(x))/exp(x).at n=9A009246
- Expansion of e.g.f. tan(sin(x)*exp(x)).at n=7A009672
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence).at n=24A024689
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=23A028628
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.at n=46A028700
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=41A053020
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=27A064244
- a(n) = A064835(n)/2.at n=17A064836
- Sum of the first n safe primes.at n=25A066869
- Number of distinct classes of permutations of length n under reversal, rotation and complement to n+1.at n=8A089066
- Number of tone-rows in n-tone music.at n=6A099030
- Square array T(n,k), read by antidiagonals: number of labeled trees, with increments of labels along edges constrained to -1,0,1, with n nodes that have no label greater than k.at n=41A101486
- Numbers k such that 3*10^k + 8*R_k - 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=3A102979
- Number of permutations avoiding a consecutive 132 pattern.at n=8A111004
- Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+4 of T), or [T^p](m,0) = p*T(p+m,p+4) for all m>=1 and p>=-4.at n=30A111553
- Column 2 of triangle A111553.at n=5A111555
- Sum of n and partition number of n.at n=33A133041
- Numbers with 28 divisors.at n=30A137491
- Ulam's spiral (SSE spoke).at n=25A143839