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134,591

134,591 is a prime, odd.

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.).

134,591 (one hundred thirty-four thousand five hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20DBF.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
540
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
195,431
Square (n²)
18,114,737,281
Cube (n³)
2,438,080,605,387,071
Divisor count
2
σ(n) — sum of divisors
134,592
φ(n) — Euler's totient
134,590

Primality

134,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134591
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,591)
1 × 134591
First multiples
134,591 · 269,182 (double) · 403,773 · 538,364 · 672,955 · 807,546 · 942,137 · 1,076,728 · 1,211,319 · 1,345,910

Sums & aliquot sequence

As consecutive integers: 67,295 + 67,296

Continued fraction of √n

√134,591 = [366; (1, 6, 2, 21, 8, 1, 3, 1, 5, 2, 2, 1, 2, 1, 2, 2, 1, 5, 5, 1, 103, 1, 51, 2, …)]

Representations

In words
one hundred thirty-four thousand five hundred ninety-one
Ordinal
134591st
Binary
100000110110111111
Octal
406677
Hexadecimal
0x20DBF
Base64
Ag2/
One's complement
4,294,832,704 (32-bit)
Scientific notation
1.34591 × 10⁵
As a duration
134,591 s = 1 day, 13 hours, 23 minutes, 11 seconds
In other bases
ternary (3) 20211121212
quaternary (4) 200312333
quinary (5) 13301331
senary (6) 2515035
septenary (7) 1100252
nonary (9) 224555
undecimal (11) 92136
duodecimal (12) 65a7b
tridecimal (13) 49352
tetradecimal (14) 37099
pentadecimal (15) 29d2b

As an angle

134,591° = 373 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλδφϟαʹ
Mayan (base 20)
𝋰·𝋰·𝋩·𝋫
Chinese
一十三萬四千五百九十一
Chinese (financial)
壹拾參萬肆仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٤٥٩١ Devanagari १३४५९१ Bengali ১৩৪৫৯১ Tamil ௧௩௪௫௯௧ Thai ๑๓๔๕๙๑ Tibetan ༡༣༤༥༩༡ Khmer ១៣៤៥៩១ Lao ໑໓໔໕໙໑ Burmese ၁၃၄၅၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 134593, cousin with 134587.

Unicode codepoint
𠶿
CJK Unified Ideograph-20Dbf
U+20DBF
Other letter (Lo)

UTF-8 encoding: F0 A0 B6 BF (4 bytes).

Hex color
#020DBF
RGB(2, 13, 191)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.191.

Address
0.2.13.191
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.191

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 134,591 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 134591 first appears in π at position 504,860 of the decimal expansion (the 504,860ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.