number.wiki
Number

6,029

6,029 is a prime, odd.

6,029 (six thousand twenty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x178D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,206
Recamán's sequence
a(12,705) = 6,029
Square (n²)
36,348,841
Cube (n³)
219,147,162,389
Divisor count
2
σ(n) — sum of divisors
6,030
φ(n) — Euler's totient
6,028

Primality

6,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6029
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,029)
1 × 6029
First multiples
6,029 · 12,058 (double) · 18,087 · 24,116 · 30,145 · 36,174 · 42,203 · 48,232 · 54,261 · 60,290

Sums & aliquot sequence

As a sum of two squares: 10² + 77²
As consecutive integers: 3,014 + 3,015

Continued fraction of √n

√6,029 = [77; (1, 1, 1, 4, 1, 7, 2, 1, 6, 13, 1, 30, 7, 1, 2, 1, 2, 1, 3, 1, 2, 2, 1, 1, …)]

Representations

In words
six thousand twenty-nine
Ordinal
6029th
Binary
1011110001101
Octal
13615
Hexadecimal
0x178D
Base64
F40=
One's complement
59,506 (16-bit)
Scientific notation
6.029 × 10³
As a duration
6,029 s = 1 hour, 40 minutes, 29 seconds
In other bases
ternary (3) 22021022
quaternary (4) 1132031
quinary (5) 143104
senary (6) 43525
septenary (7) 23402
nonary (9) 8238
undecimal (11) 4591
duodecimal (12) 35a5
tridecimal (13) 298a
tetradecimal (14) 22a9
pentadecimal (15) 1bbe

As an angle

6,029° = 16 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛκθʹ
Mayan (base 20)
𝋯·𝋡·𝋩
Chinese
六千零二十九
Chinese (financial)
陸仟零貳拾玖
In other modern scripts
Eastern Arabic ٦٠٢٩ Devanagari ६०२९ Bengali ৬০২৯ Tamil ௬௦௨௯ Thai ๖๐๒๙ Tibetan ༦༠༢༩ Khmer ៦០២៩ Lao ໖໐໒໙ Burmese ၆၀၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 6,029 = 7
e — Euler's number (e)
Digit 6,029 = 0
φ — Golden ratio (φ)
Digit 6,029 = 8
√2 — Pythagoras's (√2)
Digit 6,029 = 8
ln 2 — Natural log of 2
Digit 6,029 = 0
γ — Euler-Mascheroni (γ)
Digit 6,029 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,011 (gap of 18)
  • Next prime: 6,037 (gap of 8)
Unicode codepoint
Khmer Letter Ttho
U+178D
Other letter (Lo)

UTF-8 encoding: E1 9E 8D (3 bytes).

Hex color
#00178D
RGB(0, 23, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.141.

Address
0.0.23.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.141

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 6,029 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +32¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -31¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +33¢)
Position in π

The digit sequence 6029 first appears in π at position 4,763 of the decimal expansion (the 4,763ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.