number.wiki
Live analysis

133,241

133,241 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.).

133,241 (one hundred thirty-three thousand two hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20879.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
142,331
Square (n²)
17,753,164,081
Cube (n³)
2,365,449,335,316,521
Divisor count
2
σ(n) — sum of divisors
133,242
φ(n) — Euler's totient
133,240

Primality

133,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133241
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,241)
1 × 133241
First multiples
133,241 · 266,482 (double) · 399,723 · 532,964 · 666,205 · 799,446 · 932,687 · 1,065,928 · 1,199,169 · 1,332,410

Sums & aliquot sequence

As a sum of two squares: 4² + 365²
As consecutive integers: 66,620 + 66,621

Continued fraction of √n

√133,241 = [365; (45, 1, 1, 1, 2, 11, 31, 1, 1, 1, 7, 1, 1, 5, 1, 4, 2, 13, 3, 8, 1, 4, 145, 1, …)]

Representations

In words
one hundred thirty-three thousand two hundred forty-one
Ordinal
133241st
Binary
100000100001111001
Octal
404171
Hexadecimal
0x20879
Base64
Agh5
One's complement
4,294,834,054 (32-bit)
Scientific notation
1.33241 × 10⁵
As a duration
133,241 s = 1 day, 13 hours, 41 seconds
In other bases
ternary (3) 20202202212
quaternary (4) 200201321
quinary (5) 13230431
senary (6) 2504505
septenary (7) 1063313
nonary (9) 222685
undecimal (11) 91119
duodecimal (12) 65135
tridecimal (13) 48854
tetradecimal (14) 367b3
pentadecimal (15) 2972b
Palindromic in base 11

As an angle

133,241° = 370 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγσμαʹ
Mayan (base 20)
𝋰·𝋭·𝋢·𝋡
Chinese
一十三萬三千二百四十一
Chinese (financial)
壹拾參萬參仟貳佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٣٢٤١ Devanagari १३३२४१ Bengali ১৩৩২৪১ Tamil ௧௩௩௨௪௧ Thai ๑๓๓๒๔๑ Tibetan ༡༣༣༢༤༡ Khmer ១៣៣២៤១ Lao ໑໓໓໒໔໑ Burmese ၁၃၃၂၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠡹
CJK Unified Ideograph-20879
U+20879
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 B9 (4 bytes).

Hex color
#020879
RGB(2, 8, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.121.

Address
0.2.8.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.121

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 133,241 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.