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Number

2,801

2,801 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
1,082
Recamán's sequence
a(15,425) = 2,801
Square (n²)
7,845,601
Cube (n³)
21,975,528,401
Divisor count
2
σ(n) — sum of divisors
2,802
φ(n) — Euler's totient
2,800

Primality

2,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,801)
1 × 2801
First multiples
2,801 · 5,602 (double) · 8,403 · 11,204 · 14,005 · 16,806 · 19,607 · 22,408 · 25,209 · 28,010

Sums & aliquot sequence

As a sum of two squares: 20² + 49²
As consecutive integers: 1,400 + 1,401

Representations

In words
two thousand eight hundred one
Ordinal
2801st
Roman numeral
MMDCCCI
Binary
101011110001
Octal
5361
Hexadecimal
0xAF1
Base64
CvE=
One's complement
62,734 (16-bit)
In other bases
ternary (3) 10211202
quaternary (4) 223301
quinary (5) 42201
senary (6) 20545
septenary (7) 11111
nonary (9) 3752
undecimal (11) 2117
duodecimal (12) 1755
tridecimal (13) 1376
tetradecimal (14) 1041
pentadecimal (15) c6b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵βωαʹ
Mayan (base 20)
𝋧·𝋠·𝋡
Chinese
二千八百零一
Chinese (financial)
貳仟捌佰零壹
In other modern scripts
Eastern Arabic ٢٨٠١ Devanagari २८०१ Bengali ২৮০১ Tamil ௨௮௦௧ Thai ๒๘๐๑ Tibetan ༢༨༠༡ Khmer ២៨០១ Lao ໒໘໐໑ Burmese ၂၈၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 2,801 = 4
e — Euler's number (e)
Digit 2,801 = 7
φ — Golden ratio (φ)
Digit 2,801 = 9
√2 — Pythagoras's (√2)
Digit 2,801 = 6
ln 2 — Natural log of 2
Digit 2,801 = 5
γ — Euler-Mascheroni (γ)
Digit 2,801 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,797 (gap of 4)
  • Next prime: 2,803 (gap of 2)

Pair status: twin with 2803, cousin with 2797.

Unicode codepoint
Gujarati Rupee Sign
U+0AF1
Currency symbol (Sc)

UTF-8 encoding: E0 AB B1 (3 bytes).

Hex color
#000AF1
RGB(0, 10, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.241.

Address
0.0.10.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.241

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

Position in π

The digit sequence 2801 first appears in π at position 3,416 of the decimal expansion (the 3,416ordinal-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.