Properties of the Number 60129

Sixty Thousand One Hundred Twenty-Nine

Basics

Value: 60128 → 60129 → 60130

Parity: odd

Prime: No

Previous Prime: 60127

Next Prime: 60133

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 131

Divisors: 1, 3, 9, 17, 27, 51, 131, 153, 393, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101011100001

Octal: 165341

Duodecimal: 2A969

Hexadecimal: eae1

Square: 3615496641

Square Root: 245.21215304303334

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

Primefree centuries (i.e., numbers k such that no prime exists between 100·k and 100·k+99). A181098

G.f.: 1/(1 - x/(1+2·x - x³/(1+2·x² - x⁵/(1+2·x³ - x⁷/(1+2·x⁴ - x⁹/(1 - ...)))))), a continued fraction. A275761

a(n) is the sum of squares of the first n positive integers congruent to 2 mod 3. A24394

a(n) = diagonal sum of left-justified array T given by A027052. A27069

Number of 6X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 6 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192706

Array T(n,m) of super ballot numbers read along ascending antidiagonals. A135573

Number of moved (non-fixed) elements in the permutation with rank number n in lists A060117 (or in A060118), i.e., the sum of the lengths of all cycles larger than one in that permutation. A60129