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2,748

2,748 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.).

2,748 (two thousand seven hundred forty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 229. Its proper divisors sum to 3,692, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDCCXLVIII and in binary, 101010111100.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
448
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
8,472
Recamán's sequence
a(2,759) = 2,748
Square (n²)
7,551,504
Cube (n³)
20,751,532,992
Divisor count
12
σ(n) — sum of divisors
6,440
φ(n) — Euler's totient
912
Sum of prime factors
236

Primality

Prime factorization: 2 2 × 3 × 229

Nearest primes: 2,741 (−7) · 2,749 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 229 · 458 · 687 · 916 · 1374 (half) · 2748
Aliquot sum (sum of proper divisors): 3,692
Factor pairs (a × b = 2,748)
1 × 2748
2 × 1374
3 × 916
4 × 687
6 × 458
12 × 229
First multiples
2,748 · 5,496 (double) · 8,244 · 10,992 · 13,740 · 16,488 · 19,236 · 21,984 · 24,732 · 27,480

Sums & aliquot sequence

As consecutive integers: 915 + 916 + 917 340 + 341 + … + 347 103 + 104 + … + 126
Aliquot sequence: 2,748 3,692 3,364 2,733 915 573 195 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√2,748 = [52; (2, 2, 1, 2, 8, 2, 1, 2, 2, 104)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
two thousand seven hundred forty-eight
Ordinal
2748th
Roman numeral
MMDCCXLVIII
Binary
101010111100
Octal
5274
Hexadecimal
0xABC
Base64
Crw=
One's complement
62,787 (16-bit)
Scientific notation
2.748 × 10³
As a duration
2,748 s = 45 minutes, 48 seconds
In other bases
ternary (3) 10202210
quaternary (4) 222330
quinary (5) 41443
senary (6) 20420
septenary (7) 11004
nonary (9) 3683
undecimal (11) 2079
duodecimal (12) 1710
tridecimal (13) 1335
tetradecimal (14) 1004
pentadecimal (15) c33

As an angle

2,748° = 7 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βψμηʹ
Mayan (base 20)
𝋦·𝋱·𝋨
Chinese
二千七百四十八
Chinese (financial)
貳仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ٢٧٤٨ Devanagari २७४८ Bengali ২৭৪৮ Tamil ௨௭௪௮ Thai ๒๗๔๘ Tibetan ༢༧༤༨ Khmer ២៧៤៨ Lao ໒໗໔໘ Burmese ၂၇၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,748 = 6
e — Euler's number (e)
Digit 2,748 = 9
φ — Golden ratio (φ)
Digit 2,748 = 7
√2 — Pythagoras's (√2)
Digit 2,748 = 8
ln 2 — Natural log of 2
Digit 2,748 = 6
γ — Euler-Mascheroni (γ)
Digit 2,748 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2748, here are decompositions:

  • 7 + 2741 = 2748
  • 17 + 2731 = 2748
  • 19 + 2729 = 2748
  • 29 + 2719 = 2748
  • 37 + 2711 = 2748
  • 41 + 2707 = 2748
  • 59 + 2689 = 2748
  • 61 + 2687 = 2748

Showing the first eight; more decompositions exist.

Unicode codepoint
Gujarati Sign Nukta
U+0ABC
Non-spacing mark (Mn)

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

Hex color
#000ABC
RGB(0, 10, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.188.

Address
0.0.10.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.188

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

Musical pitch

Heard as a frequency, 2,748 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -29¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +9¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -27¢)
Position in π

The digit sequence 2748 first appears in π at position 3,427 of the decimal expansion (the 3,427ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.