Properties of the Number 1947

One Thousand Nine Hundred Forty-Seven

Basics

Value: 1946 → 1947 → 1948

Parity: odd

Prime: No

Previous Prime: 1933

Next Prime: 1949

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 59

Divisors: 1, 3, 11, 33, 59, 177, 649, 1947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011011

Octal: 3633

Duodecimal: 1163

Hexadecimal: 79b

Square: 3790809

Square Root: 44.12482294582042

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

Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed). A23108

Number of compositions of n with some part repeated. A261982

G.f.: A(x) = ∏_n>=0 1/(1 - a(n)*xⁿ⁺¹) = ∑_n>=0 a(n)*xⁿ. A93637

Number of integer partitions of n with no difference -2. A350842

Expansion of 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

Numbers n such that φ(n,x) is a flat cyclotomic polynomial of order three. A117223

Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)³: a(n) = A078898(A030078(n)). A250474

Numbers that when divided by the sum of their digits leave 15 as remainder. A341182

Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay). A8610

Numbers k such that 5·2^k + 1 is prime. A2254