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133,169

133,169 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.).

133,169 (one hundred thirty-three thousand one hundred sixty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20831.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
961,331
Square (n²)
17,733,982,561
Cube (n³)
2,361,616,723,665,809
Divisor count
2
σ(n) — sum of divisors
133,170
φ(n) — Euler's totient
133,168

Primality

133,169 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133169
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,169)
1 × 133169
First multiples
133,169 · 266,338 (double) · 399,507 · 532,676 · 665,845 · 799,014 · 932,183 · 1,065,352 · 1,198,521 · 1,331,690

Sums & aliquot sequence

As a sum of two squares: 140² + 337²
As consecutive integers: 66,584 + 66,585

Continued fraction of √n

√133,169 = [364; (1, 12, 29, 8, 1, 1, 4, 3, 3, 2, 8, 6, 1, 1, 2, 1, 2, 1, 3, 2, 3, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred sixty-nine
Ordinal
133169th
Binary
100000100000110001
Octal
404061
Hexadecimal
0x20831
Base64
Aggx
One's complement
4,294,834,126 (32-bit)
Scientific notation
1.33169 × 10⁵
As a duration
133,169 s = 1 day, 12 hours, 59 minutes, 29 seconds
In other bases
ternary (3) 20202200012
quaternary (4) 200200301
quinary (5) 13230134
senary (6) 2504305
septenary (7) 1063151
nonary (9) 222605
undecimal (11) 91063
duodecimal (12) 65095
tridecimal (13) 487ca
tetradecimal (14) 36761
pentadecimal (15) 296ce

As an angle

133,169° = 369 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρξθʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋩
Chinese
一十三萬三千一百六十九
Chinese (financial)
壹拾參萬參仟壹佰陸拾玖
In other modern scripts
Eastern Arabic ١٣٣١٦٩ Devanagari १३३१६९ Bengali ১৩৩১৬৯ Tamil ௧௩௩௧௬௯ Thai ๑๓๓๑๖๙ Tibetan ༡༣༣༡༦༩ Khmer ១៣៣១៦៩ Lao ໑໓໓໑໖໙ Burmese ၁၃၃၁၆၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠠱
CJK Unified Ideograph-20831
U+20831
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 B1 (4 bytes).

Hex color
#020831
RGB(2, 8, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.49.

Address
0.2.8.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.49

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 133,169 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 133169 first appears in π at position 173,875 of the decimal expansion (the 173,875ordinal-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.