15034
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 22554
- Proper Divisor Sum (Aliquot Sum)
- 7520
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7516
- Möbius Function
- 1
- Radical
- 15034
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 61.at n=21A020400
- Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32).at n=44A115671
- Total number of restricted right truncatable primes in base n.at n=35A133757
- Partitions of 2*n into parts not congruent to 0, +-2, +-12, +-14, 16 (mod 32).at n=22A185083
- Number of -n..n arrays x(0..5) of 6 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).at n=44A200184
- Partitions of 2*n + 1 into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32).at n=21A208851
- Partitions of n into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32).at n=43A208856
- Expansion of q * f(-q,-q^7)^2 / (phi(q^2) * psi(-q)) in powers of q where phi(), psi(), f(,) are Ramanujan theta functions.at n=43A224216
- Volume of Johnson square pyramid placed upright on cube (rounded down) with edge lengths equal to n.at n=22A227221
- Number of permutations of [n] with exactly two (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421.at n=8A228422
- Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.at n=25A231210
- G.f.: (1-5*x+3*x^2+x^3)/(1-7*x+10*x^2+x^3-x^4).at n=7A232971
- Number of compositions of n with difference -4 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=12A242837
- Expansion of f(-q^3, -q^5)^2 / (psi(-q) * phi(q^2)) in powers of q where phi(), psi(), f() are Ramanujan theta functions.at n=44A245432
- Molien series for invariants of finite Coxeter group A_8.at n=62A266777
- Row 2 of A328464: a(n) = A276156(4n - 2) / 2.at n=19A328465
- Integers k such that 28*phi(29*197^3*k) is not a totient number where phi is the totient function.at n=6A361396
- Number of distinct characteristic polynomials for 2 X 2 matrices with entries from {0, 1, ..., n}.at n=21A366448