12415
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 3713
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9120
- Möbius Function
- -1
- Radical
- 12415
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- Numbers k such that k^3 has only odd digits.at n=17A030099
- Positive numbers having the same set of digits in base 7 and base 10.at n=33A037440
- Number of partitions of n with equal number of parts congruent to each of 0, 1, 2 and 3 (mod 4).at n=74A046770
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 2 and 3 (mod 4).at n=74A046782
- Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=20A066764
- a(n) = number of m such that A080737(m) <= 2n.at n=40A080740
- Number of partitions p of n for which Odd(p) = Odd(p') (mod 4), where p' is the conjugate of p.at n=37A097566
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=22A130604
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 4 and 5.at n=27A136968
- Numbers k such that 23^k + 2 is prime.at n=4A138050
- a(n) = (2*n+1)*(6*n-1).at n=32A179741
- Number of (n+1) X 5 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively.at n=12A204647
- Trajectory of 80 under the map n-> A006369(n).at n=44A223084
- Numbers k such that the decimal expansions of both k and k^2 have 1 as smallest digit and 5 as largest digit.at n=6A256889
- Expansion of Product_{k>=1} ((1 - x^(7*(2*k-1))) * (1 - x^(7*k)) / (1 - x^k)).at n=38A280937
- Number of integer partitions of n that are all 1's or whose run-lengths cover an initial interval of positive integers.at n=41A332576
- Number of ways to write n as an ordered sum of 5 squarefree numbers.at n=33A341065
- a(n) = A230624(n)/2.at n=47A349821
- Concatenate the terms of A027750 (omitting spaces and commas), chop into blocks of length 5, then omit any leading zeros.at n=1A362446
- Numbers k such that k and k+1 are both terms in A377732.at n=19A377733