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133,541

133,541 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.).

133,541 (one hundred thirty-three thousand five 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, 0x209A5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
145,331
Square (n²)
17,833,198,681
Cube (n³)
2,381,463,185,059,421
Divisor count
2
σ(n) — sum of divisors
133,542
φ(n) — Euler's totient
133,540

Primality

133,541 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133541
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,541)
1 × 133541
First multiples
133,541 · 267,082 (double) · 400,623 · 534,164 · 667,705 · 801,246 · 934,787 · 1,068,328 · 1,201,869 · 1,335,410

Sums & aliquot sequence

As a sum of two squares: 146² + 335²
As consecutive integers: 66,770 + 66,771

Continued fraction of √n

√133,541 = [365; (2, 3, 4, 1, 3, 13, 38, 2, 1, 1, 3, 1, 15, 1, 4, 1, 4, 2, 1, 1, 2, 1, 35, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred forty-one
Ordinal
133541st
Binary
100000100110100101
Octal
404645
Hexadecimal
0x209A5
Base64
Agml
One's complement
4,294,833,754 (32-bit)
Scientific notation
1.33541 × 10⁵
As a duration
133,541 s = 1 day, 13 hours, 5 minutes, 41 seconds
In other bases
ternary (3) 20210011222
quaternary (4) 200212211
quinary (5) 13233131
senary (6) 2510125
septenary (7) 1064222
nonary (9) 223158
undecimal (11) 91371
duodecimal (12) 65345
tridecimal (13) 48a25
tetradecimal (14) 36949
pentadecimal (15) 2987b

As an angle

133,541° = 370 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγφμαʹ
Mayan (base 20)
𝋰·𝋭·𝋱·𝋡
Chinese
一十三萬三千五百四十一
Chinese (financial)
壹拾參萬參仟伍佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٣٥٤١ Devanagari १३३५४१ Bengali ১৩৩৫৪১ Tamil ௧௩௩௫௪௧ Thai ๑๓๓๕๔๑ Tibetan ༡༣༣༥༤༡ Khmer ១៣៣៥៤១ Lao ໑໓໓໕໔໑ Burmese ၁၃၃၅၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133543.

Unicode codepoint
𠦥
CJK Unified Ideograph-209A5
U+209A5
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 A5 (4 bytes).

Hex color
#0209A5
RGB(2, 9, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.165.

Address
0.2.9.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.165

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 133,541 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 133541 first appears in π at position 214,680 of the decimal expansion (the 214,680ordinal-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.