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133,673

133,673 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.).

133,673 (one hundred thirty-three thousand six hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A29.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,134
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
376,331
Square (n²)
17,868,470,929
Cube (n³)
2,388,532,114,492,217
Divisor count
2
σ(n) — sum of divisors
133,674
φ(n) — Euler's totient
133,672

Primality

133,673 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133673
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,673)
1 × 133673
First multiples
133,673 · 267,346 (double) · 401,019 · 534,692 · 668,365 · 802,038 · 935,711 · 1,069,384 · 1,203,057 · 1,336,730

Sums & aliquot sequence

As a sum of two squares: 197² + 308²
As consecutive integers: 66,836 + 66,837

Continued fraction of √n

√133,673 = [365; (1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 730)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred seventy-three
Ordinal
133673rd
Binary
100000101000101001
Octal
405051
Hexadecimal
0x20A29
Base64
Agop
One's complement
4,294,833,622 (32-bit)
Scientific notation
1.33673 × 10⁵
As a duration
133,673 s = 1 day, 13 hours, 7 minutes, 53 seconds
In other bases
ternary (3) 20210100212
quaternary (4) 200220221
quinary (5) 13234143
senary (6) 2510505
septenary (7) 1064501
nonary (9) 223325
undecimal (11) 91481
duodecimal (12) 65435
tridecimal (13) 48ac7
tetradecimal (14) 36a01
pentadecimal (15) 29918

As an angle

133,673° = 371 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχογʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋭
Chinese
一十三萬三千六百七十三
Chinese (financial)
壹拾參萬參仟陸佰柒拾參
In other modern scripts
Eastern Arabic ١٣٣٦٧٣ Devanagari १३३६७३ Bengali ১৩৩৬৭৩ Tamil ௧௩௩௬௭௩ Thai ๑๓๓๖๗๓ Tibetan ༡༣༣༦༧༣ Khmer ១៣៣៦៧៣ Lao ໑໓໓໖໗໓ Burmese ၁၃၃၆၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133669.

Unicode codepoint
𠨩
CJK Unified Ideograph-20A29
U+20A29
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A9 (4 bytes).

Hex color
#020A29
RGB(2, 10, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.41.

Address
0.2.10.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.41

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 133,673 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 133673 first appears in π at position 48,364 of the decimal expansion (the 48,364ordinal-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.