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Number

2,797

2,797 is a prime, odd.

2,797 (two thousand seven hundred ninety-seven) 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 MMDCCXCVII and in binary, 101011101101.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
25
Digit product
882
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
7,972
Recamán's sequence
a(2,661) = 2,797
Square (n²)
7,823,209
Cube (n³)
21,881,515,573
Divisor count
2
σ(n) — sum of divisors
2,798
φ(n) — Euler's totient
2,796

Primality

2,797 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2797
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,797)
1 × 2797
First multiples
2,797 · 5,594 (double) · 8,391 · 11,188 · 13,985 · 16,782 · 19,579 · 22,376 · 25,173 · 27,970

Sums & aliquot sequence

As a sum of two squares: 14² + 51²
As consecutive integers: 1,398 + 1,399

Continued fraction of √n

√2,797 = [52; (1, 7, 1, 4, 1, 2, 9, 3, 1, 4, 3, 1, 1, 3, 4, 1, 3, 9, 2, 1, 4, 1, 7, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
two thousand seven hundred ninety-seven
Ordinal
2797th
Roman numeral
MMDCCXCVII
Binary
101011101101
Octal
5355
Hexadecimal
0xAED
Base64
Cu0=
One's complement
62,738 (16-bit)
Scientific notation
2.797 × 10³
As a duration
2,797 s = 46 minutes, 37 seconds
In other bases
ternary (3) 10211121
quaternary (4) 223231
quinary (5) 42142
senary (6) 20541
septenary (7) 11104
nonary (9) 3747
undecimal (11) 2113
duodecimal (12) 1751
tridecimal (13) 1372
tetradecimal (14) 103b
pentadecimal (15) c67

As an angle

2,797° = 7 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βψϟζʹ
Mayan (base 20)
𝋦·𝋳·𝋱
Chinese
二千七百九十七
Chinese (financial)
貳仟柒佰玖拾柒
In other modern scripts
Eastern Arabic ٢٧٩٧ Devanagari २७९७ Bengali ২৭৯৭ Tamil ௨௭௯௭ Thai ๒๗๙๗ Tibetan ༢༧༩༧ Khmer ២៧៩៧ Lao ໒໗໙໗ Burmese ၂၇၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 2,797 = 9
e — Euler's number (e)
Digit 2,797 = 7
φ — Golden ratio (φ)
Digit 2,797 = 1
√2 — Pythagoras's (√2)
Digit 2,797 = 1
ln 2 — Natural log of 2
Digit 2,797 = 7
γ — Euler-Mascheroni (γ)
Digit 2,797 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,791 (gap of 6)
  • Next prime: 2,801 (gap of 4)

Pair status: cousin with 2801, sexy with 2791.

Unicode codepoint
Gujarati Digit Seven
U+0AED
Decimal digit (Nd)

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

Hex color
#000AED
RGB(0, 10, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.237.

Address
0.0.10.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.237

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

Musical pitch

Heard as a frequency, 2,797 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, +2¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +40¢)
  • Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, +3¢)
Position in π

The digit sequence 2797 first appears in π at position 16,369 of the decimal expansion (the 16,369ordinal-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

  • 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.