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5,044

5,044 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.).

5,044 (five thousand forty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 97. Written other ways, in hexadecimal, 0x13B4.

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

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
4,405
Recamán's sequence
a(1,988) = 5,044
Square (n²)
25,441,936
Cube (n³)
128,329,125,184
Divisor count
12
σ(n) — sum of divisors
9,604
φ(n) — Euler's totient
2,304
Sum of prime factors
114

Primality

Prime factorization: 2 2 × 13 × 97

Nearest primes: 5,039 (−5) · 5,051 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 97 · 194 · 388 · 1261 · 2522 (half) · 5044
Aliquot sum (sum of proper divisors): 4,560
Factor pairs (a × b = 5,044)
1 × 5044
2 × 2522
4 × 1261
13 × 388
26 × 194
52 × 97
First multiples
5,044 · 10,088 (double) · 15,132 · 20,176 · 25,220 · 30,264 · 35,308 · 40,352 · 45,396 · 50,440

Sums & aliquot sequence

As a sum of two squares: 12² + 70² = 38² + 60²
As consecutive integers: 627 + 628 + … + 634 382 + 383 + … + 394 4 + 5 + … + 100
Aliquot sequence: 5,044 4,560 10,320 22,416 35,616 73,248 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 44,267,568 76,111,632 139,130,668 104,348,008 — unresolved within range

Continued fraction of √n

√5,044 = [71; (47, 2, 1, 15, 8, 1, 4, 2, 1, 2, 3, 1, 2, 5, 3, 8, 1, 1, 3, 2, 2, 1, 1, 11, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
five thousand forty-four
Ordinal
5044th
Binary
1001110110100
Octal
11664
Hexadecimal
0x13B4
Base64
E7Q=
One's complement
60,491 (16-bit)
Scientific notation
5.044 × 10³
As a duration
5,044 s = 1 hour, 24 minutes, 4 seconds
In other bases
ternary (3) 20220211
quaternary (4) 1032310
quinary (5) 130134
senary (6) 35204
septenary (7) 20464
nonary (9) 6824
undecimal (11) 3876
duodecimal (12) 2b04
tridecimal (13) 23b0
tetradecimal (14) 1ba4
pentadecimal (15) 1764

As an angle

5,044° = 14 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εμδʹ
Mayan (base 20)
𝋬·𝋬·𝋤
Chinese
五千零四十四
Chinese (financial)
伍仟零肆拾肆
In other modern scripts
Eastern Arabic ٥٠٤٤ Devanagari ५०४४ Bengali ৫০৪৪ Tamil ௫௦௪௪ Thai ๕๐๔๔ Tibetan ༥༠༤༤ Khmer ៥០៤៤ Lao ໕໐໔໔ Burmese ၅၀၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 5,044 = 7
e — Euler's number (e)
Digit 5,044 = 7
φ — Golden ratio (φ)
Digit 5,044 = 4
√2 — Pythagoras's (√2)
Digit 5,044 = 7
ln 2 — Natural log of 2
Digit 5,044 = 1
γ — Euler-Mascheroni (γ)
Digit 5,044 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5044, here are decompositions:

  • 5 + 5039 = 5044
  • 23 + 5021 = 5044
  • 41 + 5003 = 5044
  • 71 + 4973 = 5044
  • 101 + 4943 = 5044
  • 107 + 4937 = 5044
  • 113 + 4931 = 5044
  • 167 + 4877 = 5044

Showing the first eight; more decompositions exist.

Unicode codepoint
Cherokee Letter Le
U+13B4
Uppercase letter (Lu)

UTF-8 encoding: E1 8E B4 (3 bytes).

Hex color
#0013B4
RGB(0, 19, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.180.

Address
0.0.19.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.180

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

Musical pitch

Heard as a frequency, 5,044 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +24¢)
Position in π

The digit sequence 5044 first appears in π at position 7,459 of the decimal expansion (the 7,459ordinal-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