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130,008

130,008 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.).

130,008 (one hundred thirty thousand eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,417. Its proper divisors sum to 195,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBD8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
800,031
Recamán's sequence
a(33,772) = 130,008
Square (n²)
16,902,080,064
Cube (n³)
2,197,405,624,960,512
Divisor count
16
σ(n) — sum of divisors
325,080
φ(n) — Euler's totient
43,328
Sum of prime factors
5,426

Primality

Prime factorization: 2 3 × 3 × 5417

Nearest primes: 130,003 (−5) · 130,021 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5417 · 10834 · 16251 · 21668 · 32502 · 43336 · 65004 (half) · 130008
Aliquot sum (sum of proper divisors): 195,072
Factor pairs (a × b = 130,008)
1 × 130008
2 × 65004
3 × 43336
4 × 32502
6 × 21668
8 × 16251
12 × 10834
24 × 5417
First multiples
130,008 · 260,016 (double) · 390,024 · 520,032 · 650,040 · 780,048 · 910,056 · 1,040,064 · 1,170,072 · 1,300,080

Sums & aliquot sequence

As consecutive integers: 43,335 + 43,336 + 43,337 8,118 + 8,119 + … + 8,133 2,685 + 2,686 + … + 2,732
Aliquot sequence: 130,008 195,072 328,704 555,600 1,228,016 1,343,248 1,330,812 2,514,484 2,604,686 1,860,514 1,094,474 547,240 684,140 774,100 905,914 452,960 681,040 — unresolved within range

Continued fraction of √n

√130,008 = [360; (1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 5, 1, 5, 1, 1, 1, 7, 1, 14, 2, 5, 1, 1, 2, …)]

Representations

In words
one hundred thirty thousand eight
Ordinal
130008th
Binary
11111101111011000
Octal
375730
Hexadecimal
0x1FBD8
Base64
AfvY
One's complement
4,294,837,287 (32-bit)
Scientific notation
1.30008 × 10⁵
As a duration
130,008 s = 1 day, 12 hours, 6 minutes, 48 seconds
In other bases
ternary (3) 20121100010
quaternary (4) 133233120
quinary (5) 13130013
senary (6) 2441520
septenary (7) 1051014
nonary (9) 217303
undecimal (11) 8974a
duodecimal (12) 632a0
tridecimal (13) 47238
tetradecimal (14) 35544
pentadecimal (15) 287c3

As an angle

130,008° = 361 × 360° + 48°
48° ≈ 0.838 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληʹ
Mayan (base 20)
𝋰·𝋥·𝋠·𝋨
Chinese
一十三萬零八
Chinese (financial)
壹拾參萬零捌
In other modern scripts
Eastern Arabic ١٣٠٠٠٨ Devanagari १३०००८ Bengali ১৩০০০৮ Tamil ௧௩௦௦௦௮ Thai ๑๓๐๐๐๘ Tibetan ༡༣༠༠༠༨ Khmer ១៣០០០៨ Lao ໑໓໐໐໐໘ Burmese ၁၃၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130008, here are decompositions:

  • 5 + 130003 = 130008
  • 37 + 129971 = 130008
  • 41 + 129967 = 130008
  • 71 + 129937 = 130008
  • 89 + 129919 = 130008
  • 107 + 129901 = 130008
  • 167 + 129841 = 130008
  • 239 + 129769 = 130008

Showing the first eight; more decompositions exist.

Unicode codepoint
🯘
Box Drawings Light Diagonal Upper Left To Middle Centre To Upper Right
U+1FBD8
Other symbol (So)

UTF-8 encoding: F0 9F AF 98 (4 bytes).

Hex color
#01FBD8
RGB(1, 251, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.216.

Address
0.1.251.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.216

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 130,008 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 130008 first appears in π at position 983,157 of the decimal expansion (the 983,157ordinal-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°.