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133,261

133,261 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.).

133,261 (one hundred thirty-three thousand two hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2088D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
162,331
Square (n²)
17,758,494,121
Cube (n³)
2,366,514,685,058,581
Divisor count
2
σ(n) — sum of divisors
133,262
φ(n) — Euler's totient
133,260

Primality

133,261 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133261
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,261)
1 × 133261
First multiples
133,261 · 266,522 (double) · 399,783 · 533,044 · 666,305 · 799,566 · 932,827 · 1,066,088 · 1,199,349 · 1,332,610

Sums & aliquot sequence

As a sum of two squares: 6² + 365²
As consecutive integers: 66,630 + 66,631

Continued fraction of √n

√133,261 = [365; (20, 3, 1, 1, 2, 1, 1, 6, 2, 1, 2, 4, 1, 1, 1, 25, 2, 3, 11, 3, 3, 3, 1, 11, …)]

Representations

In words
one hundred thirty-three thousand two hundred sixty-one
Ordinal
133261st
Binary
100000100010001101
Octal
404215
Hexadecimal
0x2088D
Base64
AgiN
One's complement
4,294,834,034 (32-bit)
Scientific notation
1.33261 × 10⁵
As a duration
133,261 s = 1 day, 13 hours, 1 minute, 1 second
In other bases
ternary (3) 20202210121
quaternary (4) 200202031
quinary (5) 13231021
senary (6) 2504541
septenary (7) 1063342
nonary (9) 222717
undecimal (11) 91137
duodecimal (12) 65151
tridecimal (13) 4886b
tetradecimal (14) 367c9
pentadecimal (15) 29741

As an angle

133,261° = 370 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγσξαʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋡
Chinese
一十三萬三千二百六十一
Chinese (financial)
壹拾參萬參仟貳佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٣٢٦١ Devanagari १३३२६१ Bengali ১৩৩২৬১ Tamil ௧௩௩௨௬௧ Thai ๑๓๓๒๖๑ Tibetan ༡༣༣༢༦༡ Khmer ១៣៣២៦១ Lao ໑໓໓໒໖໑ Burmese ၁၃၃၂၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠢍
CJK Unified Ideograph-2088D
U+2088D
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 8D (4 bytes).

Hex color
#02088D
RGB(2, 8, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.141.

Address
0.2.8.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.141

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 133,261 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.