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Number

4,229

4,229 is a prime, odd.

4,229 (four thousand two hundred twenty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1085.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,224
Recamán's sequence
a(1,282) = 4,229
Square (n²)
17,884,441
Cube (n³)
75,633,300,989
Divisor count
2
σ(n) — sum of divisors
4,230
φ(n) — Euler's totient
4,228

Primality

4,229 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4229
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,229)
1 × 4229
First multiples
4,229 · 8,458 (double) · 12,687 · 16,916 · 21,145 · 25,374 · 29,603 · 33,832 · 38,061 · 42,290

Sums & aliquot sequence

As a sum of two squares: 2² + 65²
As consecutive integers: 2,114 + 2,115

Continued fraction of √n

√4,229 = [65; (32, 1, 1, 32, 130)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred twenty-nine
Ordinal
4229th
Binary
1000010000101
Octal
10205
Hexadecimal
0x1085
Base64
EIU=
One's complement
61,306 (16-bit)
Scientific notation
4.229 × 10³
As a duration
4,229 s = 1 hour, 10 minutes, 29 seconds
In other bases
ternary (3) 12210122
quaternary (4) 1002011
quinary (5) 113404
senary (6) 31325
septenary (7) 15221
nonary (9) 5718
undecimal (11) 31a5
duodecimal (12) 2545
tridecimal (13) 1c04
tetradecimal (14) 1781
pentadecimal (15) 13be

As an angle

4,229° = 11 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσκθʹ
Mayan (base 20)
𝋪·𝋫·𝋩
Chinese
四千二百二十九
Chinese (financial)
肆仟貳佰貳拾玖
In other modern scripts
Eastern Arabic ٤٢٢٩ Devanagari ४२२९ Bengali ৪২২৯ Tamil ௪௨௨௯ Thai ๔๒๒๙ Tibetan ༤༢༢༩ Khmer ៤២២៩ Lao ໔໒໒໙ Burmese ၄၂၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,229 = 4
e — Euler's number (e)
Digit 4,229 = 4
φ — Golden ratio (φ)
Digit 4,229 = 7
√2 — Pythagoras's (√2)
Digit 4,229 = 8
ln 2 — Natural log of 2
Digit 4,229 = 6
γ — Euler-Mascheroni (γ)
Digit 4,229 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,219 (gap of 10)
  • Next prime: 4,231 (gap of 2)

Pair status: twin with 4231.

Unicode codepoint
Myanmar Vowel Sign Shan E Above
U+1085
Non-spacing mark (Mn)

UTF-8 encoding: E1 82 85 (3 bytes).

Hex color
#001085
RGB(0, 16, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.133.

Address
0.0.16.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.133

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

Musical pitch

Heard as a frequency, 4,229 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +18¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -45¢ — about midway to C8)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +19¢)
Position in π

The digit sequence 4229 first appears in π at position 4,796 of the decimal expansion (the 4,796ordinal-suffix:th 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.