11501
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 2323
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- -1
- Radical
- 11501
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with at least 1 odd and 1 even part.at n=34A006477
- Fibonacci sequence beginning 3, 17.at n=15A022127
- Number of partitions of n into parts 4k and 4k+2 with at least one part of each type.at n=68A035622
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=37A035961
- Numbers k such that k^14 == 1 (mod 15^3).at n=13A056087
- Number of triangular regions in regular n-gon with all diagonals drawn.at n=28A062361
- Number of permutations p from (1,2,3,...,n) to (1,2,3,...,n) such that 1/(1+p(1)) + 1/(2+p(2)) + ... + 1/(n+p(n)) is an integer.at n=12A073112
- Partial sums of A084263.at n=40A084570
- a(1)=1, a(n)=a(n-1)+n^0 if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=40A135301
- Numbers n such that n-+1 are divisible by exactly 6 primes, counted with multiplicity.at n=9A157486
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero.at n=19A208598
- Sums of antidiagonals of A223968.at n=14A223940
- Number of partitions of n into distinct parts with boundary size 9.at n=31A227566
- Number of condensed integer partitions of n.at n=51A239312
- a(n) = n*(n + 11)*(n + 22)/6.at n=31A264445
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood.at n=24A270990
- Numbers whose sum of divisors is equal to the product of the number of divisors of their k first powers, for some k.at n=26A283758
- Terms of A121707 not in A267999.at n=45A306097
- Numbers missing from A317415.at n=22A317417
- Nonsemiprimes in A306097 = A121707 \ A267999.at n=10A321488