Properties of the Number 11106

Eleven Thousand One Hundred Six

Basics

Value: 11105 → 11106 → 11107

Parity: even

Prime: No

Previous Prime: 11093

Next Prime: 11113

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 617

Divisors: 1, 2, 3, 6, 9, 18, 617, 1234, 1851, 3702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101100010

Octal: 25542

Duodecimal: 6516

Hexadecimal: 2b62

Square: 123343236

Square Root: 105.38500842150178

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

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7. A135192

a(n) = PrimePi(n³) - PrimePi(n)³, where PrimePi = A000720. A291538

Numbers k such that 5·2^k + 3 is prime. A58586

Number of ways to linearly arrange the trees over all forests on n labeled nodes. A218688

Partial sums of repdigits of A002283. A99676

Numbers k such that the k-th triangular number contains only digits {1,6,7}. A119141

Numbers obtained by adding the first k repdigits that consist of the same digit, for some number k. A346535

a(n) = n+1 for n = 1 to 8; a(n) = 100 + a(n-8) for n = 9 to 16; thereafter a(8·i+j) = 10ⁱ⁺¹ + a(8*(i-1)+j) for i >= 2, 1 <= j <= 8. A367342

Numbers k such that 87·2^k+1 is prime. A32393

a(n) is the smallest number k such that d(1)*1! + d(2)*2! + ... + d(p)*p! = n², where d(i) are the decimal digits of k. A198095