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Number

5,641

5,641 is a prime, odd.

5,641 (five thousand six hundred forty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1609.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
1,465
Recamán's sequence
a(3,530) = 5,641
Square (n²)
31,820,881
Cube (n³)
179,501,589,721
Divisor count
2
σ(n) — sum of divisors
5,642
φ(n) — Euler's totient
5,640

Primality

5,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5641
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,641)
1 × 5641
First multiples
5,641 · 11,282 (double) · 16,923 · 22,564 · 28,205 · 33,846 · 39,487 · 45,128 · 50,769 · 56,410

Sums & aliquot sequence

As a sum of two squares: 4² + 75²
As consecutive integers: 2,820 + 2,821

Continued fraction of √n

√5,641 = [75; (9, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 7, 1, 1, 1, 3, 9, 1, 2, 1, 5, 1, …)]

Representations

In words
five thousand six hundred forty-one
Ordinal
5641st
Binary
1011000001001
Octal
13011
Hexadecimal
0x1609
Base64
Fgk=
One's complement
59,894 (16-bit)
Scientific notation
5.641 × 10³
As a duration
5,641 s = 1 hour, 34 minutes, 1 second
In other bases
ternary (3) 21201221
quaternary (4) 1120021
quinary (5) 140031
senary (6) 42041
septenary (7) 22306
nonary (9) 7657
undecimal (11) 4269
duodecimal (12) 3321
tridecimal (13) 274c
tetradecimal (14) 20ad
pentadecimal (15) 1a11

As an angle

5,641° = 15 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵εχμαʹ
Mayan (base 20)
𝋮·𝋢·𝋡
Chinese
五千六百四十一
Chinese (financial)
伍仟陸佰肆拾壹
In other modern scripts
Eastern Arabic ٥٦٤١ Devanagari ५६४१ Bengali ৫৬৪১ Tamil ௫௬௪௧ Thai ๕๖๔๑ Tibetan ༥༦༤༡ Khmer ៥៦៤១ Lao ໕໖໔໑ Burmese ၅၆၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,641 = 4
e — Euler's number (e)
Digit 5,641 = 6
φ — Golden ratio (φ)
Digit 5,641 = 3
√2 — Pythagoras's (√2)
Digit 5,641 = 1
ln 2 — Natural log of 2
Digit 5,641 = 2
γ — Euler-Mascheroni (γ)
Digit 5,641 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,639 (gap of 2)
  • Next prime: 5,647 (gap of 6)

Pair status: twin with 5639, sexy with 5647.

Unicode codepoint
Canadian Syllabics Carrier Mo
U+1609
Other letter (Lo)

UTF-8 encoding: E1 98 89 (3 bytes).

Hex color
#001609
RGB(0, 22, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.9.

Address
0.0.22.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.9

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

Musical pitch

Heard as a frequency, 5,641 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +16¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -46¢ — about midway to F8)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +18¢)
Position in π

The digit sequence 5641 first appears in π at position 9,396 of the decimal expansion (the 9,396ordinal-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.