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5,046

5,046 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.).

5,046 (five thousand forty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3 × 29². Its proper divisors sum to 5,406, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x13B6.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
6,405
Recamán's sequence
a(1,984) = 5,046
Square (n²)
25,462,116
Cube (n³)
128,481,837,336
Divisor count
12
σ(n) — sum of divisors
10,452
φ(n) — Euler's totient
1,624
Sum of prime factors
63

Primality

Prime factorization: 2 × 3 × 29 2

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

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 29 · 58 · 87 · 174 · 841 · 1682 · 2523 (half) · 5046
Aliquot sum (sum of proper divisors): 5,406
Factor pairs (a × b = 5,046)
1 × 5046
2 × 2523
3 × 1682
6 × 841
29 × 174
58 × 87
First multiples
5,046 · 10,092 (double) · 15,138 · 20,184 · 25,230 · 30,276 · 35,322 · 40,368 · 45,414 · 50,460

Sums & aliquot sequence

As consecutive integers: 1,681 + 1,682 + 1,683 1,260 + 1,261 + 1,262 + 1,263 415 + 416 + … + 426 160 + 161 + … + 188
Aliquot sequence: 5,046 5,406 6,258 8,142 9,138 9,150 13,914 16,272 29,670 46,362 46,374 48,666 48,678 70,362 86,118 92,058 95,622 — unresolved within range

Continued fraction of √n

√5,046 = [71; (28, 2, 2, 5, 3, 1, 1, 4, 5, 1, 22, 1, 5, 4, 1, 1, 3, 5, 2, 2, 28, 142)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
five thousand forty-six
Ordinal
5046th
Binary
1001110110110
Octal
11666
Hexadecimal
0x13B6
Base64
E7Y=
One's complement
60,489 (16-bit)
Scientific notation
5.046 × 10³
As a duration
5,046 s = 1 hour, 24 minutes, 6 seconds
In other bases
ternary (3) 20220220
quaternary (4) 1032312
quinary (5) 130141
senary (6) 35210
septenary (7) 20466
nonary (9) 6826
undecimal (11) 3878
duodecimal (12) 2b06
tridecimal (13) 23b2
tetradecimal (14) 1ba6
pentadecimal (15) 1766

As an angle

5,046° = 14 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εμϛʹ
Mayan (base 20)
𝋬·𝋬·𝋦
Chinese
五千零四十六
Chinese (financial)
伍仟零肆拾陸
In other modern scripts
Eastern Arabic ٥٠٤٦ Devanagari ५०४६ Bengali ৫০৪৬ Tamil ௫௦௪௬ Thai ๕๐๔๖ Tibetan ༥༠༤༦ Khmer ៥០៤៦ Lao ໕໐໔໖ Burmese ၅၀၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,046 = 1
e — Euler's number (e)
Digit 5,046 = 1
φ — Golden ratio (φ)
Digit 5,046 = 3
√2 — Pythagoras's (√2)
Digit 5,046 = 1
ln 2 — Natural log of 2
Digit 5,046 = 7
γ — Euler-Mascheroni (γ)
Digit 5,046 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5046, here are decompositions:

  • 7 + 5039 = 5046
  • 23 + 5023 = 5046
  • 37 + 5009 = 5046
  • 43 + 5003 = 5046
  • 47 + 4999 = 5046
  • 53 + 4993 = 5046
  • 59 + 4987 = 5046
  • 73 + 4973 = 5046

Showing the first eight; more decompositions exist.

Unicode codepoint
Cherokee Letter Lo
U+13B6
Uppercase letter (Lu)

UTF-8 encoding: E1 8E B6 (3 bytes).

Hex color
#0013B6
RGB(0, 19, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.182.

Address
0.0.19.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.182

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

Musical pitch

Heard as a frequency, 5,046 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -39¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +25¢)
Position in π

The digit sequence 5046 first appears in π at position 8,379 of the decimal expansion (the 8,379ordinal-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

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