number.wiki
Live analysis

2,738

2,738 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

2,738 (two thousand seven hundred thirty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2 × 37². Written other ways, in Roman numerals it is MMDCCXXXVIII and in binary, 101010110010.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
8,372
Recamán's sequence
a(2,779) = 2,738
Square (n²)
7,496,644
Cube (n³)
20,525,811,272
Divisor count
6
σ(n) — sum of divisors
4,221
φ(n) — Euler's totient
1,332
Sum of prime factors
76

Primality

Prime factorization: 2 × 37 2

Nearest primes: 2,731 (−7) · 2,741 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 37 · 74 · 1369 (half) · 2738
Aliquot sum (sum of proper divisors): 1,483
Factor pairs (a × b = 2,738)
1 × 2738
2 × 1369
37 × 74
First multiples
2,738 · 5,476 (double) · 8,214 · 10,952 · 13,690 · 16,428 · 19,166 · 21,904 · 24,642 · 27,380

Sums & aliquot sequence

As a sum of two squares: 23² + 47² = 37² + 37²
As consecutive integers: 683 + 684 + 685 + 686 56 + 57 + … + 92
Aliquot sequence: 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√2,738 = [52; (3, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 3, 104)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
two thousand seven hundred thirty-eight
Ordinal
2738th
Roman numeral
MMDCCXXXVIII
Binary
101010110010
Octal
5262
Hexadecimal
0xAB2
Base64
CrI=
One's complement
62,797 (16-bit)
Scientific notation
2.738 × 10³
As a duration
2,738 s = 45 minutes, 38 seconds
In other bases
ternary (3) 10202102
quaternary (4) 222302
quinary (5) 41423
senary (6) 20402
septenary (7) 10661
nonary (9) 3672
undecimal (11) 206a
duodecimal (12) 1702
tridecimal (13) 1328
tetradecimal (14) dd8
pentadecimal (15) c28
Palindromic in base 6

As an angle

2,738° = 7 × 360° + 218°
218° ≈ 3.805 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βψληʹ
Mayan (base 20)
𝋦·𝋰·𝋲
Chinese
二千七百三十八
Chinese (financial)
貳仟柒佰參拾捌
In other modern scripts
Eastern Arabic ٢٧٣٨ Devanagari २७३८ Bengali ২৭৩৮ Tamil ௨௭௩௮ Thai ๒๗๓๘ Tibetan ༢༧༣༨ Khmer ២៧៣៨ Lao ໒໗໓໘ Burmese ၂၇၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,738 = 5
e — Euler's number (e)
Digit 2,738 = 6
φ — Golden ratio (φ)
Digit 2,738 = 5
√2 — Pythagoras's (√2)
Digit 2,738 = 6
ln 2 — Natural log of 2
Digit 2,738 = 1
γ — Euler-Mascheroni (γ)
Digit 2,738 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2738, here are decompositions:

  • 7 + 2731 = 2738
  • 19 + 2719 = 2738
  • 31 + 2707 = 2738
  • 61 + 2677 = 2738
  • 67 + 2671 = 2738
  • 79 + 2659 = 2738
  • 181 + 2557 = 2738
  • 199 + 2539 = 2738

Showing the first eight; more decompositions exist.

Unicode codepoint
Gujarati Letter La
U+0AB2
Other letter (Lo)

UTF-8 encoding: E0 AA B2 (3 bytes).

Hex color
#000AB2
RGB(0, 10, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.178.

Address
0.0.10.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.178

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

Musical pitch

Heard as a frequency, 2,738 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -35¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +3¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -34¢)
Position in π

The digit sequence 2738 first appears in π at position 18,941 of the decimal expansion (the 18,941ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.