number.wiki
Number

4,259

4,259 is a prime, odd.

4,259 (four thousand two hundred fifty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10A3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Self Number Sexy Prime Squarefree Twin Prime

Interestingness

10 notable facts · grade A
less more

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
9,524
Recamán's sequence
a(28,658) = 4,259
Square (n²)
18,139,081
Cube (n³)
77,254,345,979
Divisor count
2
σ(n) — sum of divisors
4,260
φ(n) — Euler's totient
4,258

Primality

4,259 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4259
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,259)
1 × 4259
First multiples
4,259 · 8,518 (double) · 12,777 · 17,036 · 21,295 · 25,554 · 29,813 · 34,072 · 38,331 · 42,590

Sums & aliquot sequence

As consecutive integers: 2,129 + 2,130

Continued fraction of √n

√4,259 = [65; (3, 1, 4, 1, 12, 4, 2, 2, 1, 2, 1, 4, 2, 25, 1, 1, 1, 7, 65, 7, 1, 1, 1, 25, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
four thousand two hundred fifty-nine
Ordinal
4259th
Binary
1000010100011
Octal
10243
Hexadecimal
0x10A3
Base64
EKM=
One's complement
61,276 (16-bit)
Scientific notation
4.259 × 10³
As a duration
4,259 s = 1 hour, 10 minutes, 59 seconds
In other bases
ternary (3) 12211202
quaternary (4) 1002203
quinary (5) 114014
senary (6) 31415
septenary (7) 15263
nonary (9) 5752
undecimal (11) 3222
duodecimal (12) 256b
tridecimal (13) 1c28
tetradecimal (14) 17a3
pentadecimal (15) 13de

As an angle

4,259° = 11 × 360° + 299°
299° ≈ 5.219 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δσνθʹ
Mayan (base 20)
𝋪·𝋬·𝋳
Chinese
四千二百五十九
Chinese (financial)
肆仟貳佰伍拾玖
In other modern scripts
Eastern Arabic ٤٢٥٩ Devanagari ४२५९ Bengali ৪২৫৯ Tamil ௪௨௫௯ Thai ๔๒๕๙ Tibetan ༤༢༥༩ Khmer ៤២៥៩ Lao ໔໒໕໙ Burmese ၄၂၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,259 = 4
e — Euler's number (e)
Digit 4,259 = 6
φ — Golden ratio (φ)
Digit 4,259 = 2
√2 — Pythagoras's (√2)
Digit 4,259 = 8
ln 2 — Natural log of 2
Digit 4,259 = 5
γ — Euler-Mascheroni (γ)
Digit 4,259 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,253 (gap of 6)
  • Next prime: 4,261 (gap of 2)

Pair status: twin with 4261, sexy with 4253.

Unicode codepoint
Georgian Capital Letter Don
U+10A3
Uppercase letter (Lu)

UTF-8 encoding: E1 82 A3 (3 bytes).

Hex color
#0010A3
RGB(0, 16, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.163.

Address
0.0.16.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.163

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

Musical pitch

Heard as a frequency, 4,259 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +31¢)
Position in π

The digit sequence 4259 first appears in π at position 1,290 of the decimal expansion (the 1,290ordinal-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.