Properties of the Number 37367

Thirty-Seven Thousand Three Hundred Sixty-Seven

Basics

Value: 37366 → 37367 → 37368

Parity: odd

Prime: No

Previous Prime: 37363

Next Prime: 37369

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 × 43 × 79

Divisors: 1, 11, 43, 79, 473, 869, 3397, 37367

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000111110111

Octal: 110767

Duodecimal: 1975B

Hexadecimal: 91f7

Square: 1396292689

Square Root: 193.30545776050917

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of primitive (=aperiodic) 8-ary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A320092

Numbers k such that j(k)*φ(k) = σ(φ(k)), j(k) = A033831(k). A33856

Triangle read by rows: a(n,m) = T[n,m,m] where T[i,j,k] is the 3-dimensional pyramid defined by T[n,m,0]=1 and T[i,j,k]=0 if j>i or k>j and T[i,j,k]=T[i-1,j,k]+T[i,j-1,k]+T[i,j,k-1]. A65078

In base 3: n sets a new record for the number of Reverse and Add! steps needed to reach a palindrome starting with n. A77406

Expansion of e.g.f. exp(-x) / (1 + x·exp(x)). A368272

Pentagonal numbers which are products of three distinct primes. A381650

a(n) is the least k such that φ(k) + d(k) = 2ⁿ, or -1 if there is no such k, where φ(k) = A000010(k) is Euler's totient function and d(k) = A000005(k) is the number of divisors of k. A357898

a(1) = 1 and thereafter a(n) = a(n-1) + j(n-1) where j(1) = 1 and then j(n) = j(n-1)-1 if a(n) is composite or j(n) = 2·j(n-1) if a(n) is prime. A382671

T(n,n+3), array T as in A047110. A47118

Table T(n,k) by antidiagonals. T(n,k) is the number of primitive (=aperiodic) k-ary words (n,k >= 1) with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A143327