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5,036

5,036 is a composite number, even.

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.).

5,036 (five thousand thirty-six) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 1,259. Written other ways, in hexadecimal, 0x13AC.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
6,305
Recamán's sequence
a(2,004) = 5,036
Square (n²)
25,361,296
Cube (n³)
127,719,486,656
Divisor count
6
σ(n) — sum of divisors
8,820
φ(n) — Euler's totient
2,516
Sum of prime factors
1,263

Primality

Prime factorization: 2 2 × 1259

Nearest primes: 5,023 (−13) · 5,039 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 1259 · 2518 (half) · 5036
Aliquot sum (sum of proper divisors): 3,784
Factor pairs (a × b = 5,036)
1 × 5036
2 × 2518
4 × 1259
First multiples
5,036 · 10,072 (double) · 15,108 · 20,144 · 25,180 · 30,216 · 35,252 · 40,288 · 45,324 · 50,360

Sums & aliquot sequence

As consecutive integers: 626 + 627 + … + 633
Aliquot sequence: 5,036 3,784 4,136 4,504 3,956 3,436 2,584 2,816 3,316 2,494 1,466 736 776 694 350 394 200 — unresolved within range

Continued fraction of √n

√5,036 = [70; (1, 27, 2, 1, 1, 5, 12, 1, 2, 1, 1, 1, 1, 1, 17, 8, 3, 2, 2, 1, 3, 1, 6, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
five thousand thirty-six
Ordinal
5036th
Binary
1001110101100
Octal
11654
Hexadecimal
0x13AC
Base64
E6w=
One's complement
60,499 (16-bit)
Scientific notation
5.036 × 10³
As a duration
5,036 s = 1 hour, 23 minutes, 56 seconds
In other bases
ternary (3) 20220112
quaternary (4) 1032230
quinary (5) 130121
senary (6) 35152
septenary (7) 20453
nonary (9) 6815
undecimal (11) 3869
duodecimal (12) 2ab8
tridecimal (13) 23a5
tetradecimal (14) 1b9a
pentadecimal (15) 175b

As an angle

5,036° = 13 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ελϛʹ
Mayan (base 20)
𝋬·𝋫·𝋰
Chinese
五千零三十六
Chinese (financial)
伍仟零參拾陸
In other modern scripts
Eastern Arabic ٥٠٣٦ Devanagari ५०३६ Bengali ৫০৩৬ Tamil ௫௦௩௬ Thai ๕๐๓๖ Tibetan ༥༠༣༦ Khmer ៥០៣៦ Lao ໕໐໓໖ Burmese ၅၀၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,036 = 7
e — Euler's number (e)
Digit 5,036 = 9
φ — Golden ratio (φ)
Digit 5,036 = 8
√2 — Pythagoras's (√2)
Digit 5,036 = 7
ln 2 — Natural log of 2
Digit 5,036 = 4
γ — Euler-Mascheroni (γ)
Digit 5,036 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5036, here are decompositions:

  • 13 + 5023 = 5036
  • 37 + 4999 = 5036
  • 43 + 4993 = 5036
  • 67 + 4969 = 5036
  • 79 + 4957 = 5036
  • 103 + 4933 = 5036
  • 127 + 4909 = 5036
  • 223 + 4813 = 5036

Showing the first eight; more decompositions exist.

Unicode codepoint
Cherokee Letter Gv
U+13AC
Uppercase letter (Lu)

UTF-8 encoding: E1 8E AC (3 bytes).

Hex color
#0013AC
RGB(0, 19, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.172.

Address
0.0.19.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.172

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

Musical pitch

Heard as a frequency, 5,036 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -42¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +21¢)
Position in π

The digit sequence 5036 first appears in π at position 13,338 of the decimal expansion (the 13,338ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.