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133,571

133,571 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.).

133,571 (one hundred thirty-three thousand five hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x209C3.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
175,331
Square (n²)
17,841,212,041
Cube (n³)
2,383,068,533,528,411
Divisor count
2
σ(n) — sum of divisors
133,572
φ(n) — Euler's totient
133,570

Primality

133,571 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133571
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,571)
1 × 133571
First multiples
133,571 · 267,142 (double) · 400,713 · 534,284 · 667,855 · 801,426 · 934,997 · 1,068,568 · 1,202,139 · 1,335,710

Sums & aliquot sequence

As consecutive integers: 66,785 + 66,786

Continued fraction of √n

√133,571 = [365; (2, 8, 1, 145, 3, 2, 1, 1, 5, 29, 16, 1, 27, 5, 1, 4, 3, 5, 5, 2, 3, 3, 4, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred seventy-one
Ordinal
133571st
Binary
100000100111000011
Octal
404703
Hexadecimal
0x209C3
Base64
AgnD
One's complement
4,294,833,724 (32-bit)
Scientific notation
1.33571 × 10⁵
As a duration
133,571 s = 1 day, 13 hours, 6 minutes, 11 seconds
In other bases
ternary (3) 20210020002
quaternary (4) 200213003
quinary (5) 13233241
senary (6) 2510215
septenary (7) 1064264
nonary (9) 223202
undecimal (11) 91399
duodecimal (12) 6536b
tridecimal (13) 48a49
tetradecimal (14) 3696b
pentadecimal (15) 2989b

As an angle

133,571° = 371 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγφοαʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋫
Chinese
一十三萬三千五百七十一
Chinese (financial)
壹拾參萬參仟伍佰柒拾壹
In other modern scripts
Eastern Arabic ١٣٣٥٧١ Devanagari १३३५७१ Bengali ১৩৩৫৭১ Tamil ௧௩௩௫௭௧ Thai ๑๓๓๕๗๑ Tibetan ༡༣༣༥༧༡ Khmer ១៣៣៥៧១ Lao ໑໓໓໕໗໑ Burmese ၁၃၃၅၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠧃
CJK Unified Ideograph-209C3
U+209C3
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 83 (4 bytes).

Hex color
#0209C3
RGB(2, 9, 195)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.195.

Address
0.2.9.195
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.195

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 133,571 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 133571 first appears in π at position 182,141 of the decimal expansion (the 182,141ordinal-suffix:st 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.