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Properties of the Number 29775

Twenty-Nine Thousand Seven Hundred Seventy-Five

Basics

Value: 29774 → 29775 → 29776

Parity: odd

Prime: No

Previous Prime: 29761

Next Prime: 29789

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 2 × 397

Divisors: 1, 3, 5, 15, 25, 75, 397, 1191, 1985, 5955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010001001111

Octal: 72117

Duodecimal: 15293

Hexadecimal: 744f

Square: 886550625

Square Root: 172.55433926737396

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 such that p(9n) is prime, where p(n) is the number of partitions of n. A114169
Number of partitions of n where the difference between consecutive parts is at most 5. A238865
Row sums of triangle A067330; also of triangle A067418. A67988
Monotonic ordering of set S generated by these rules: if·and y are in S then 2xy-x-y is in S, and 3 is in S. A192525
a(n) is the smallest number that is the sum of both 2n-1 and 2n+1 consecutive primes. A213174
The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)). A379224
Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1. A35982
Number of partitions of n concentric circles on the 2-sphere which are realizable by surfaces in the 3-ball. A186952
Squares k2 whose digits appear in k. A29775
Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 1,4,2,0,3 for x=0,1,2,3,4. A196638