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Number

5,413

5,413 is a prime, odd.

5,413 (five thousand four hundred thirteen) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1525.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
60
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
3,145
Recamán's sequence
a(4,406) = 5,413
Square (n²)
29,300,569
Cube (n³)
158,603,979,997
Divisor count
2
σ(n) — sum of divisors
5,414
φ(n) — Euler's totient
5,412

Primality

5,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,413)
1 × 5413
First multiples
5,413 · 10,826 (double) · 16,239 · 21,652 · 27,065 · 32,478 · 37,891 · 43,304 · 48,717 · 54,130

Sums & aliquot sequence

As a sum of two squares: 38² + 63²
As consecutive integers: 2,706 + 2,707

Continued fraction of √n

√5,413 = [73; (1, 1, 2, 1, 11, 1, 1, 4, 1, 2, 1, 3, 2, 1, 6, 3, 5, 7, 1, 1, 3, 1, 12, 1, …)]

Representations

In words
five thousand four hundred thirteen
Ordinal
5413th
Binary
1010100100101
Octal
12445
Hexadecimal
0x1525
Base64
FSU=
One's complement
60,122 (16-bit)
Scientific notation
5.413 × 10³
As a duration
5,413 s = 1 hour, 30 minutes, 13 seconds
In other bases
ternary (3) 21102111
quaternary (4) 1110211
quinary (5) 133123
senary (6) 41021
septenary (7) 21532
nonary (9) 7374
undecimal (11) 4081
duodecimal (12) 3171
tridecimal (13) 2605
tetradecimal (14) 1d89
pentadecimal (15) 190d

As an angle

5,413° = 15 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ευιγʹ
Mayan (base 20)
𝋭·𝋪·𝋭
Chinese
五千四百一十三
Chinese (financial)
伍仟肆佰壹拾參
In other modern scripts
Eastern Arabic ٥٤١٣ Devanagari ५४१३ Bengali ৫৪১৩ Tamil ௫௪௧௩ Thai ๕๔๑๓ Tibetan ༥༤༡༣ Khmer ៥៤១៣ Lao ໕໔໑໓ Burmese ၅၄၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,413 = 1
e — Euler's number (e)
Digit 5,413 = 9
φ — Golden ratio (φ)
Digit 5,413 = 7
√2 — Pythagoras's (√2)
Digit 5,413 = 2
ln 2 — Natural log of 2
Digit 5,413 = 4
γ — Euler-Mascheroni (γ)
Digit 5,413 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,407 (gap of 6)
  • Next prime: 5,417 (gap of 4)

Pair status: cousin with 5417, sexy with 5407.

Unicode codepoint
Canadian Syllabics Sh
U+1525
Other letter (Lo)

UTF-8 encoding: E1 94 A5 (3 bytes).

Hex color
#001525
RGB(0, 21, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.37.

Address
0.0.21.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.21.37

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

Musical pitch

Heard as a frequency, 5,413 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +45¢ — about midway to F8)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -17¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +46¢ — about midway to F♯8)
Position in π

The digit sequence 5413 first appears in π at position 5,278 of the decimal expansion (the 5,278ordinal-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.