4401
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6560
- Proper Divisor Sum (Aliquot Sum)
- 2159
- 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
- 2916
- Möbius Function
- 0
- Radical
- 489
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 139
- 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
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes that is non-deficient.at n=43A007684
- Prime(n)*...*prime(a(n)) is the least product of consecutive primes which is abundant.at n=43A007707
- Molien series for alternating group Alt_12 (or A_12).at n=30A008635
- Number of partitions of n into at most 12 parts.at n=30A008641
- E.g.f. exp( sinh(x) / exp(x) ) = exp( (1-exp(-2*x))/2 ).at n=9A009235
- Integers k such that k divides 22^k - 1.at n=39A014959
- Odd numbers k that divide 25^k - 1.at n=39A014962
- Numbers k such that k | 5^k + 1.at n=30A015951
- Numbers k such that k | 8^k + 1.at n=14A015955
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=18A020397
- Conjectured number of irreducible multiple zeta values of depth 9 and weight 2n+25.at n=10A022497
- n written in fractional base 8/4.at n=49A024646
- s(n+3)/2, where s is A024945.at n=14A024946
- Numbers k such that k^2 is palindromic in base 4.at n=17A029986
- Square root of A030688.at n=43A030689
- Numbers whose set of base-16 digits is {1,3}.at n=16A032923
- Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.at n=30A033966
- Trajectory of 3 under map n->19n+1 if n odd, n->n/2 if n even.at n=21A037107
- Maximal base 7 run length is 4.at n=16A037991
- Coordination sequence T10 for Zeolite Code STT.at n=44A038422