6280
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14220
- Proper Divisor Sum (Aliquot Sum)
- 7940
- 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
- 2496
- Möbius Function
- 0
- Radical
- 1570
- Omega Function (Ω)
- 5
- 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
- 124
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=40A001107
- Coordination sequence for MgZn2, Position Zn1.at n=20A009937
- Coordination sequence for MgZn2, Mg position.at n=20A009939
- Expansion of 1/((1-2*x)*(1-5*x)*(1-9*x)*(1-10*x)).at n=3A026024
- Even 10-gonal (or decagonal) numbers.at n=20A028994
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 39.at n=22A031537
- "DFJ" (bracelet, size, labeled) transform of 1,2,3,4...at n=8A032211
- "EFJ" (unordered, size, labeled) transform of 1,2,3,4,...at n=8A032299
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=45A036027
- Increasing gaps among twin primes: size.at n=34A036063
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=24A045055
- Partial sums of A051865.at n=15A050441
- Even numbers seen in decimal expansion of Pi (disregarding the decimal period) contiguous, smallest and distinct.at n=29A050818
- Engel expansion of Gamma(1/3) = 2.6789385....at n=8A059188
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>=1} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^7 * Product_{i=1..t} (1-x^i) ).at n=9A059824
- First (leftmost) digit - second digit + third digit - fourth digit .... = 12.at n=45A061881
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=11A063969
- Decimal expansion of Pi written as a sequence of positive integers avoiding duplicates.at n=41A064809
- Numbers n such that sopf(n) = sopf(n-1) + sopf(n-2), where sopf(x) = sum of the distinct prime factors of x.at n=7A075565
- Sum of absolute values of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}.at n=6A083693