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Number

5,701

5,701 is a prime, odd.

5,701 (five thousand seven hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1645.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
1,075
Recamán's sequence
a(3,650) = 5,701
Square (n²)
32,501,401
Cube (n³)
185,290,487,101
Divisor count
2
σ(n) — sum of divisors
5,702
φ(n) — Euler's totient
5,700

Primality

5,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,701)
1 × 5701
First multiples
5,701 · 11,402 (double) · 17,103 · 22,804 · 28,505 · 34,206 · 39,907 · 45,608 · 51,309 · 57,010

Sums & aliquot sequence

As a sum of two squares: 15² + 74²
As consecutive integers: 2,850 + 2,851

Continued fraction of √n

√5,701 = [75; (1, 1, 49, 1, 5, 16, 1, 1, 1, 1, 2, 1, 4, 1, 6, 1, 2, 1, 1, 1, 3, 2, 4, 7, …)]

Representations

In words
five thousand seven hundred one
Ordinal
5701st
Binary
1011001000101
Octal
13105
Hexadecimal
0x1645
Base64
FkU=
One's complement
59,834 (16-bit)
Scientific notation
5.701 × 10³
As a duration
5,701 s = 1 hour, 35 minutes, 1 second
In other bases
ternary (3) 21211011
quaternary (4) 1121011
quinary (5) 140301
senary (6) 42221
septenary (7) 22423
nonary (9) 7734
undecimal (11) 4313
duodecimal (12) 3371
tridecimal (13) 2797
tetradecimal (14) 2113
pentadecimal (15) 1a51

As an angle

5,701° = 15 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵εψαʹ
Mayan (base 20)
𝋮·𝋥·𝋡
Chinese
五千七百零一
Chinese (financial)
伍仟柒佰零壹
In other modern scripts
Eastern Arabic ٥٧٠١ Devanagari ५७०१ Bengali ৫৭০১ Tamil ௫௭௦௧ Thai ๕๗๐๑ Tibetan ༥༧༠༡ Khmer ៥៧០១ Lao ໕໗໐໑ Burmese ၅၇၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,701 = 3
e — Euler's number (e)
Digit 5,701 = 5
φ — Golden ratio (φ)
Digit 5,701 = 4
√2 — Pythagoras's (√2)
Digit 5,701 = 3
ln 2 — Natural log of 2
Digit 5,701 = 4
γ — Euler-Mascheroni (γ)
Digit 5,701 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,693 (gap of 8)
  • Next prime: 5,711 (gap of 10)
Unicode codepoint
Canadian Syllabics Carrier Za
U+1645
Other letter (Lo)

UTF-8 encoding: E1 99 85 (3 bytes).

Hex color
#001645
RGB(0, 22, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.69.

Address
0.0.22.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.69

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

Musical pitch

Heard as a frequency, 5,701 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -28¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +36¢)
Position in π

The digit sequence 5701 first appears in π at position 7,698 of the decimal expansion (the 7,698ordinal-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.