number.wiki
Live analysis

130,006

130,006 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.).

130,006 (one hundred thirty thousand six) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 65,003. Written other ways, in hexadecimal, 0x1FBD6.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
600,031
Recamán's sequence
a(33,768) = 130,006
Square (n²)
16,901,560,036
Cube (n³)
2,197,304,214,040,216
Divisor count
4
σ(n) — sum of divisors
195,012
φ(n) — Euler's totient
65,002
Sum of prime factors
65,005

Primality

Prime factorization: 2 × 65003

Nearest primes: 130,003 (−3) · 130,021 (+15)

Divisors & multiples

All divisors (4)
1 · 2 · 65003 (half) · 130006
Aliquot sum (sum of proper divisors): 65,006
Factor pairs (a × b = 130,006)
1 × 130006
2 × 65003
First multiples
130,006 · 260,012 (double) · 390,018 · 520,024 · 650,030 · 780,036 · 910,042 · 1,040,048 · 1,170,054 · 1,300,060

Sums & aliquot sequence

As consecutive integers: 32,500 + 32,501 + 32,502 + 32,503
Aliquot sequence: 130,006 65,006 32,506 16,256 16,384 16,383 6,145 1,235 445 95 25 6 6 — reaches a perfect number

Continued fraction of √n

√130,006 = [360; (1, 1, 3, 2, 3, 1, 2, 6, 2, 1, 1, 1, 3, 5, 3, 5, 1, 1, 4, 1, 1, 3, 360, 3, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand six
Ordinal
130006th
Binary
11111101111010110
Octal
375726
Hexadecimal
0x1FBD6
Base64
AfvW
One's complement
4,294,837,289 (32-bit)
Scientific notation
1.30006 × 10⁵
As a duration
130,006 s = 1 day, 12 hours, 6 minutes, 46 seconds
In other bases
ternary (3) 20121100001
quaternary (4) 133233112
quinary (5) 13130011
senary (6) 2441514
septenary (7) 1051012
nonary (9) 217301
undecimal (11) 89748
duodecimal (12) 6329a
tridecimal (13) 47236
tetradecimal (14) 35542
pentadecimal (15) 287c1

As an angle

130,006° = 361 × 360° + 46°
46° ≈ 0.803 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛʹ
Mayan (base 20)
𝋰·𝋥·𝋠·𝋦
Chinese
一十三萬零六
Chinese (financial)
壹拾參萬零陸
In other modern scripts
Eastern Arabic ١٣٠٠٠٦ Devanagari १३०००६ Bengali ১৩০০০৬ Tamil ௧௩௦௦௦௬ Thai ๑๓๐๐๐๖ Tibetan ༡༣༠༠༠༦ Khmer ១៣០០០៦ Lao ໑໓໐໐໐໖ Burmese ၁၃၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130006, here are decompositions:

  • 3 + 130003 = 130006
  • 47 + 129959 = 130006
  • 53 + 129953 = 130006
  • 89 + 129917 = 130006
  • 113 + 129893 = 130006
  • 257 + 129749 = 130006
  • 269 + 129737 = 130006
  • 419 + 129587 = 130006

Showing the first eight; more decompositions exist.

Unicode codepoint
🯖
Box Drawings Light Diagonal Upper Right To Lower Centre
U+1FBD6
Other symbol (So)

UTF-8 encoding: F0 9F AF 96 (4 bytes).

Hex color
#01FBD6
RGB(1, 251, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.214.

Address
0.1.251.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.214

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 130,006 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 130006 first appears in π at position 456,214 of the decimal expansion (the 456,214ordinal-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