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2,792

2,792 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.).

2,792 (two thousand seven hundred ninety-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 349. Written other ways, in Roman numerals it is MMDCCXCII and in binary, 101011101000.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
2,972
Recamán's sequence
a(2,671) = 2,792
Square (n²)
7,795,264
Cube (n³)
21,764,377,088
Divisor count
8
σ(n) — sum of divisors
5,250
φ(n) — Euler's totient
1,392
Sum of prime factors
355

Primality

Prime factorization: 2 3 × 349

Nearest primes: 2,791 (−1) · 2,797 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 349 · 698 · 1396 (half) · 2792
Aliquot sum (sum of proper divisors): 2,458
Factor pairs (a × b = 2,792)
1 × 2792
2 × 1396
4 × 698
8 × 349
First multiples
2,792 · 5,584 (double) · 8,376 · 11,168 · 13,960 · 16,752 · 19,544 · 22,336 · 25,128 · 27,920

Sums & aliquot sequence

As a sum of two squares: 26² + 46²
As consecutive integers: 167 + 168 + … + 182
Aliquot sequence: 2,792 2,458 1,232 1,744 1,666 1,412 1,066 698 352 404 310 266 214 110 106 56 64 — unresolved within range

Continued fraction of √n

√2,792 = [52; (1, 5, 4, 2, 2, 1, 25, 1, 2, 2, 4, 5, 1, 104)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
two thousand seven hundred ninety-two
Ordinal
2792nd
Roman numeral
MMDCCXCII
Binary
101011101000
Octal
5350
Hexadecimal
0xAE8
Base64
Cug=
One's complement
62,743 (16-bit)
Scientific notation
2.792 × 10³
As a duration
2,792 s = 46 minutes, 32 seconds
In other bases
ternary (3) 10211102
quaternary (4) 223220
quinary (5) 42132
senary (6) 20532
septenary (7) 11066
nonary (9) 3742
undecimal (11) 2109
duodecimal (12) 1748
tridecimal (13) 136a
tetradecimal (14) 1036
pentadecimal (15) c62

As an angle

2,792° = 7 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵βψϟβʹ
Mayan (base 20)
𝋦·𝋳·𝋬
Chinese
二千七百九十二
Chinese (financial)
貳仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ٢٧٩٢ Devanagari २७९२ Bengali ২৭৯২ Tamil ௨௭௯௨ Thai ๒๗๙๒ Tibetan ༢༧༩༢ Khmer ២៧៩២ Lao ໒໗໙໒ Burmese ၂၇၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,792 = 5
e — Euler's number (e)
Digit 2,792 = 5
φ — Golden ratio (φ)
Digit 2,792 = 5
√2 — Pythagoras's (√2)
Digit 2,792 = 2
ln 2 — Natural log of 2
Digit 2,792 = 0
γ — Euler-Mascheroni (γ)
Digit 2,792 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2792, here are decompositions:

  • 3 + 2789 = 2792
  • 43 + 2749 = 2792
  • 61 + 2731 = 2792
  • 73 + 2719 = 2792
  • 79 + 2713 = 2792
  • 103 + 2689 = 2792
  • 109 + 2683 = 2792
  • 199 + 2593 = 2792

Showing the first eight; more decompositions exist.

Unicode codepoint
Gujarati Digit Two
U+0AE8
Decimal digit (Nd)

UTF-8 encoding: E0 AB A8 (3 bytes).

Hex color
#000AE8
RGB(0, 10, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.232.

Address
0.0.10.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.232

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

Musical pitch

Heard as a frequency, 2,792 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +36¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, exact)
Position in π

The digit sequence 2792 first appears in π at position 16,310 of the decimal expansion (the 16,310ordinal-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

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