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5,301

5,301 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

5,301 (five thousand three hundred one) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 19 × 31. Written other ways, in hexadecimal, 0x14B5.

Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
1,035
Recamán's sequence
a(2,374) = 5,301
Square (n²)
28,100,601
Cube (n³)
148,961,285,901
Divisor count
12
σ(n) — sum of divisors
8,320
φ(n) — Euler's totient
3,240
Sum of prime factors
56

Primality

Prime factorization: 3 2 × 19 × 31

Nearest primes: 5,297 (−4) · 5,303 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 19 · 31 · 57 · 93 · 171 · 279 · 589 · 1767 · 5301
Aliquot sum (sum of proper divisors): 3,019
Factor pairs (a × b = 5,301)
1 × 5301
3 × 1767
9 × 589
19 × 279
31 × 171
57 × 93
First multiples
5,301 · 10,602 (double) · 15,903 · 21,204 · 26,505 · 31,806 · 37,107 · 42,408 · 47,709 · 53,010

Sums & aliquot sequence

As consecutive integers: 2,650 + 2,651 1,766 + 1,767 + 1,768 881 + 882 + 883 + 884 + 885 + 886 585 + 586 + … + 593
Aliquot sequence: 5,301 3,019 1 0 — terminates at zero

Continued fraction of √n

√5,301 = [72; (1, 4, 4, 1, 4, 1, 1, 2, 2, 2, 1, 4, 2, 35, 1, 19, 1, 4, 1, 6, 1, 4, 1, 19, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred one
Ordinal
5301st
Binary
1010010110101
Octal
12265
Hexadecimal
0x14B5
Base64
FLU=
One's complement
60,234 (16-bit)
Scientific notation
5.301 × 10³
As a duration
5,301 s = 1 hour, 28 minutes, 21 seconds
In other bases
ternary (3) 21021100
quaternary (4) 1102311
quinary (5) 132201
senary (6) 40313
septenary (7) 21312
nonary (9) 7240
undecimal (11) 3a8a
duodecimal (12) 3099
tridecimal (13) 254a
tetradecimal (14) 1d09
pentadecimal (15) 1886
Palindromic in base 7

As an angle

5,301° = 14 × 360° + 261°
261° ≈ 4.555 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵εταʹ
Mayan (base 20)
𝋭·𝋥·𝋡
Chinese
五千三百零一
Chinese (financial)
伍仟參佰零壹
In other modern scripts
Eastern Arabic ٥٣٠١ Devanagari ५३०१ Bengali ৫৩০১ Tamil ௫௩௦௧ Thai ๕๓๐๑ Tibetan ༥༣༠༡ Khmer ៥៣០១ Lao ໕໓໐໑ Burmese ၅၃၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,301 = 8
e — Euler's number (e)
Digit 5,301 = 0
φ — Golden ratio (φ)
Digit 5,301 = 2
√2 — Pythagoras's (√2)
Digit 5,301 = 9
ln 2 — Natural log of 2
Digit 5,301 = 3
γ — Euler-Mascheroni (γ)
Digit 5,301 = 4

Also seen as

Unicode codepoint
Canadian Syllabics West-Cree Mwoo
U+14B5
Other letter (Lo)

UTF-8 encoding: E1 92 B5 (3 bytes).

Hex color
#0014B5
RGB(0, 20, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.181.

Address
0.0.20.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.181

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

Musical pitch

Heard as a frequency, 5,301 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +9¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +46¢ — about midway to F8)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +10¢)
Position in π

The digit sequence 5301 first appears in π at position 1,053 of the decimal expansion (the 1,053ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.