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133,723

133,723 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.).

133,723 (one hundred thirty-three thousand seven hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A5B.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
378
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
327,331
Square (n²)
17,881,840,729
Cube (n³)
2,391,213,387,804,067
Divisor count
2
σ(n) — sum of divisors
133,724
φ(n) — Euler's totient
133,722

Primality

133,723 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133723
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,723)
1 × 133723
First multiples
133,723 · 267,446 (double) · 401,169 · 534,892 · 668,615 · 802,338 · 936,061 · 1,069,784 · 1,203,507 · 1,337,230

Sums & aliquot sequence

As consecutive integers: 66,861 + 66,862

Continued fraction of √n

√133,723 = [365; (1, 2, 7, 7, 1, 2, 1, 2, 16, 1, 1, 1, 4, 5, 2, 5, 23, 2, 2, 4, 243, 1, 1, 3, …)]

Representations

In words
one hundred thirty-three thousand seven hundred twenty-three
Ordinal
133723rd
Binary
100000101001011011
Octal
405133
Hexadecimal
0x20A5B
Base64
Agpb
One's complement
4,294,833,572 (32-bit)
Scientific notation
1.33723 × 10⁵
As a duration
133,723 s = 1 day, 13 hours, 8 minutes, 43 seconds
In other bases
ternary (3) 20210102201
quaternary (4) 200221123
quinary (5) 13234343
senary (6) 2511031
septenary (7) 1064602
nonary (9) 223381
undecimal (11) 91517
duodecimal (12) 65477
tridecimal (13) 48b35
tetradecimal (14) 36a39
pentadecimal (15) 2994d

As an angle

133,723° = 371 × 360° + 163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψκγʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋣
Chinese
一十三萬三千七百二十三
Chinese (financial)
壹拾參萬參仟柒佰貳拾參
In other modern scripts
Eastern Arabic ١٣٣٧٢٣ Devanagari १३३७२३ Bengali ১৩৩৭২৩ Tamil ௧௩௩௭௨௩ Thai ๑๓๓๗๒๓ Tibetan ༡༣༣༧༢༣ Khmer ១៣៣៧២៣ Lao ໑໓໓໗໒໓ Burmese ၁၃၃၇၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133717.

Unicode codepoint
𠩛
CJK Unified Ideograph-20A5B
U+20A5B
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 9B (4 bytes).

Hex color
#020A5B
RGB(2, 10, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.91.

Address
0.2.10.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.91

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 133,723 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 133723 first appears in π at position 745,320 of the decimal expansion (the 745,320ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.