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Number

2,749

2,749 is a prime, odd.

2,749 (two thousand seven hundred 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 MMDCCXLIX and in binary, 101010111101.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
9,472
Recamán's sequence
a(2,757) = 2,749
Square (n²)
7,557,001
Cube (n³)
20,774,195,749
Divisor count
2
σ(n) — sum of divisors
2,750
φ(n) — Euler's totient
2,748

Primality

2,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,749)
1 × 2749
First multiples
2,749 · 5,498 (double) · 8,247 · 10,996 · 13,745 · 16,494 · 19,243 · 21,992 · 24,741 · 27,490

Sums & aliquot sequence

As a sum of two squares: 30² + 43²
As consecutive integers: 1,374 + 1,375

Continued fraction of √n

√2,749 = [52; (2, 3, 8, 2, 4, 1, 3, 2, 1, 1, 1, 6, 2, 1, 3, 4, 1, 34, 6, 1, 25, 2, 1, 3, …)]

Representations

In words
two thousand seven hundred forty-nine
Ordinal
2749th
Roman numeral
MMDCCXLIX
Binary
101010111101
Octal
5275
Hexadecimal
0xABD
Base64
Cr0=
One's complement
62,786 (16-bit)
Scientific notation
2.749 × 10³
As a duration
2,749 s = 45 minutes, 49 seconds
In other bases
ternary (3) 10202211
quaternary (4) 222331
quinary (5) 41444
senary (6) 20421
septenary (7) 11005
nonary (9) 3684
undecimal (11) 207a
duodecimal (12) 1711
tridecimal (13) 1336
tetradecimal (14) 1005
pentadecimal (15) c34

As an angle

2,749° = 7 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βψμθʹ
Mayan (base 20)
𝋦·𝋱·𝋩
Chinese
二千七百四十九
Chinese (financial)
貳仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ٢٧٤٩ Devanagari २७४९ Bengali ২৭৪৯ Tamil ௨௭௪௯ Thai ๒๗๔๙ Tibetan ༢༧༤༩ Khmer ២៧៤៩ Lao ໒໗໔໙ Burmese ၂၇၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,749 = 6
e — Euler's number (e)
Digit 2,749 = 4
φ — Golden ratio (φ)
Digit 2,749 = 2
√2 — Pythagoras's (√2)
Digit 2,749 = 5
ln 2 — Natural log of 2
Digit 2,749 = 9
γ — Euler-Mascheroni (γ)
Digit 2,749 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,741 (gap of 8)
  • Next prime: 2,753 (gap of 4)

Pair status: cousin with 2753.

Unicode codepoint
Gujarati Sign Avagraha
U+0ABD
Other letter (Lo)

UTF-8 encoding: E0 AA BD (3 bytes).

Hex color
#000ABD
RGB(0, 10, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.189.

Address
0.0.10.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.189

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

Musical pitch

Heard as a frequency, 2,749 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -28¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +10¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -27¢)
Position in π

The digit sequence 2749 first appears in π at position 462 of the decimal expansion (the 462ordinal-suffix:nd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.