Number

3,049

3,049 is a prime, odd.

3,049 (three thousand forty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMXLIX and in binary, 101111101001.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,037 3,038 3,039 3,040 3,041 3,042 3,043 3,044 3,045 3,046 3,047 3,048 3,049 3,050 3,051 3,052 3,053 3,054 3,055 3,056 3,057 3,058 3,059 3,060 3,061

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 9,403
Recamán's sequence: a(1,537) = 3,049
Square (n²): 9,296,401
Cube (n³): 28,344,726,649
Divisor count: 2
σ(n) — sum of divisors: 3,050
φ(n) — Euler's totient: 3,048

Primality

3,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3049

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,049)

1 × 3049

First multiples

3,049 · 6,098 (double) · 9,147 · 12,196 · 15,245 · 18,294 · 21,343 · 24,392 · 27,441 · 30,490

Sums & aliquot sequence

As a sum of two squares: 32² + 45²

As consecutive integers: 1,524 + 1,525

Continued fraction of √n

√3,049 = [55; (4, 1, 1, 2, 4, 1, 6, 1, 1, 4, 1, 2, 1, 1, 1, 2, 1, 1, 11, 1, 2, 4, 3, 1, …)]

Representations

In words: three thousand forty-nine
Ordinal: 3049th
Roman numeral: MMMXLIX
Binary: 101111101001
Octal: 5751
Hexadecimal: 0xBE9
Base64: C+k=
One's complement: 62,486 (16-bit)
Scientific notation: 3.049 × 10³
As a duration: 3,049 s = 50 minutes, 49 seconds

In other bases

ternary (3) 11011221

quaternary (4) 233221

quinary (5) 44144

senary (6) 22041

septenary (7) 11614

nonary (9) 4157

undecimal (11) 2322

duodecimal (12) 1921

tridecimal (13) 1507

tetradecimal (14) 117b

pentadecimal (15) d84

Palindromic in base 5

As an angle

3,049° = 8 × 360° + 169°

169° ≈ 2.95 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γμθʹ
Mayan (base 20): 𝋧·𝋬·𝋩
Chinese: 三千零四十九
Chinese (financial): 參仟零肆拾玖

In other modern scripts

Eastern Arabic ٣٠٤٩ Devanagari ३०४९ Bengali ৩০৪৯ Tamil ௩௦௪௯ Thai ๓๐๔๙ Tibetan ༣༠༤༩ Khmer ៣០៤៩ Lao ໓໐໔໙ Burmese ၃၀၄၉

Digit at this position in famous constants

π — Pi (π): Digit 3,049 = 5
e — Euler's number (e): Digit 3,049 = 0
φ — Golden ratio (φ): Digit 3,049 = 0
√2 — Pythagoras's (√2): Digit 3,049 = 9
ln 2 — Natural log of 2: Digit 3,049 = 7
γ — Euler-Mascheroni (γ): Digit 3,049 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,041 (gap of 8)
Next prime: 3,061 (gap of 12)

Unicode codepoint

௩

Tamil Digit Three

U+0BE9

Decimal digit (Nd)

UTF-8 encoding: E0 AF A9 (3 bytes).

Lookup U+0BE9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BE9

RGB(0, 11, 233)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.233.

Address: 0.0.11.233
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.233

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

Musical pitch

Heard as a frequency, 3,049 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, -49¢ — about midway to F♯7)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -11¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, -47¢ — about midway to G7)

Position in π

The digit sequence 3049 first appears in π at position 16,684 of the decimal expansion (the 16,684ordinal-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.

Look up 3049 on Pi Search ↗