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5,130

5,130 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.).

5,130 (five thousand one hundred thirty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 5 × 19. Its proper divisors sum to 9,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x140A.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
315
Recamán's sequence
a(4,952) = 5,130
Square (n²)
26,316,900
Cube (n³)
135,005,697,000
Divisor count
32
σ(n) — sum of divisors
14,400
φ(n) — Euler's totient
1,296
Sum of prime factors
35

Primality

Prime factorization: 2 × 3 3 × 5 × 19

Nearest primes: 5,119 (−11) · 5,147 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 19 · 27 · 30 · 38 · 45 · 54 · 57 · 90 · 95 · 114 · 135 · 171 · 190 · 270 · 285 · 342 · 513 · 570 · 855 · 1026 · 1710 · 2565 (half) · 5130
Aliquot sum (sum of proper divisors): 9,270
Factor pairs (a × b = 5,130)
1 × 5130
2 × 2565
3 × 1710
5 × 1026
6 × 855
9 × 570
10 × 513
15 × 342
18 × 285
19 × 270
27 × 190
30 × 171
38 × 135
45 × 114
54 × 95
57 × 90
First multiples
5,130 · 10,260 (double) · 15,390 · 20,520 · 25,650 · 30,780 · 35,910 · 41,040 · 46,170 · 51,300

Sums & aliquot sequence

As consecutive integers: 1,709 + 1,710 + 1,711 1,281 + 1,282 + 1,283 + 1,284 1,024 + 1,025 + 1,026 + 1,027 + 1,028 566 + 567 + … + 574
Aliquot sequence: 5,130 9,270 15,066 19,878 19,890 39,078 52,650 104,892 139,884 186,540 335,940 692,220 1,283,460 2,310,396 3,834,372 5,169,084 7,064,004 — unresolved within range

Continued fraction of √n

√5,130 = [71; (1, 1, 1, 1, 1, 15, 3, 2, 3, 15, 1, 1, 1, 1, 1, 142)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five thousand one hundred thirty
Ordinal
5130th
Binary
1010000001010
Octal
12012
Hexadecimal
0x140A
Base64
FAo=
One's complement
60,405 (16-bit)
Scientific notation
5.13 × 10³
As a duration
5,130 s = 1 hour, 25 minutes, 30 seconds
In other bases
ternary (3) 21001000
quaternary (4) 1100022
quinary (5) 131010
senary (6) 35430
septenary (7) 20646
nonary (9) 7030
undecimal (11) 3944
duodecimal (12) 2b76
tridecimal (13) 2448
tetradecimal (14) 1c26
pentadecimal (15) 17c0

As an angle

5,130° = 14 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ερλʹ
Mayan (base 20)
𝋬·𝋰·𝋪
Chinese
五千一百三十
Chinese (financial)
伍仟壹佰參拾
In other modern scripts
Eastern Arabic ٥١٣٠ Devanagari ५१३० Bengali ৫১৩০ Tamil ௫௧௩௦ Thai ๕๑๓๐ Tibetan ༥༡༣༠ Khmer ៥១៣០ Lao ໕໑໓໐ Burmese ၅၁၃၀

Digit at this position in famous constants

π — Pi (π)
Digit 5,130 = 8
e — Euler's number (e)
Digit 5,130 = 4
φ — Golden ratio (φ)
Digit 5,130 = 8
√2 — Pythagoras's (√2)
Digit 5,130 = 9
ln 2 — Natural log of 2
Digit 5,130 = 7
γ — Euler-Mascheroni (γ)
Digit 5,130 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5130, here are decompositions:

  • 11 + 5119 = 5130
  • 17 + 5113 = 5130
  • 23 + 5107 = 5130
  • 29 + 5101 = 5130
  • 31 + 5099 = 5130
  • 43 + 5087 = 5130
  • 53 + 5077 = 5130
  • 71 + 5059 = 5130

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics A
U+140A
Other letter (Lo)

UTF-8 encoding: E1 90 8A (3 bytes).

Hex color
#00140A
RGB(0, 20, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.10.

Address
0.0.20.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.10

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

Musical pitch

Heard as a frequency, 5,130 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -48¢ — about midway to D♯8)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -10¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -47¢ — about midway to E8)
Position in π

The digit sequence 5130 first appears in π at position 6,233 of the decimal expansion (the 6,233ordinal-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°.