10078
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 5042
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5038
- Möbius Function
- 1
- Radical
- 10078
- 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
- 135
- 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 68.at n=41A020407
- Positive numbers k such that k and 8*k are anagrams in base 9 (written in base 9).at n=1A023085
- 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 100.at n=6A031598
- Decimal part of cube root of a(n) starts with 6: first term of runs.at n=19A034132
- McKay-Thompson series of class 42D for Monster.at n=49A058674
- Numbers k such that A001414(k) is a square and sets a new record for squares.at n=24A064463
- Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square.at n=18A076305
- G.f.: A(x) = 1/(1-x - x/(1-x - x^2/(1-x - x^3/(1-x - x^4/(1-x - x^5/(...)))))), a continued fraction.at n=9A088355
- Number of partitions of n such that all parts, with the possible exception of the smallest, appear only once.at n=44A115029
- Semiprimes (A001358) whose digit reversal is a pentagonal number (A000326).at n=20A115708
- Triangle T(n, k) = k*(n-1)! - k!, read by rows.at n=29A137260
- a(n) = 2*prime(n)^2 - 4.at n=19A153480
- Numbers such that n^2 = 29 mod 1193.at n=16A165989
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=20A181882
- Augmentation of the triangle A193596. See Comments.at n=49A193597
- Sum of all odd-indexed parts minus the sum of all even-indexed parts of all partitions of n, with the parts written in nondecreasing order.at n=35A194714
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2>x^2+y^2.at n=34A211637
- Number of n-digit 6th powers.at n=26A216656
- Number of times the digit 2 appears in the first 10^n digits of Catalan's constant.at n=4A224696
- Triangle T(n,k) giving the largest member of "the infinite trunk of factorial beanstalk" (A219666) whose factorial base representation contains n digits (A084558) and the most significant such digit (A099563) is k.at n=21A230429