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133,669

133,669 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.).

133,669 (one hundred thirty-three thousand six 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, 0x20A25.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,916
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
966,331
Square (n²)
17,867,401,561
Cube (n³)
2,388,317,699,257,309
Divisor count
2
σ(n) — sum of divisors
133,670
φ(n) — Euler's totient
133,668

Primality

133,669 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133669
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,669)
1 × 133669
First multiples
133,669 · 267,338 (double) · 401,007 · 534,676 · 668,345 · 802,014 · 935,683 · 1,069,352 · 1,203,021 · 1,336,690

Sums & aliquot sequence

As a sum of two squares: 255² + 262²
As consecutive integers: 66,834 + 66,835

Continued fraction of √n

√133,669 = [365; (1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 8, 2, 2, 2, 1, 14, 4, 1, 1, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand six hundred sixty-nine
Ordinal
133669th
Binary
100000101000100101
Octal
405045
Hexadecimal
0x20A25
Base64
Agol
One's complement
4,294,833,626 (32-bit)
Scientific notation
1.33669 × 10⁵
As a duration
133,669 s = 1 day, 13 hours, 7 minutes, 49 seconds
In other bases
ternary (3) 20210100201
quaternary (4) 200220211
quinary (5) 13234134
senary (6) 2510501
septenary (7) 1064464
nonary (9) 223321
undecimal (11) 91478
duodecimal (12) 65431
tridecimal (13) 48ac3
tetradecimal (14) 369db
pentadecimal (15) 29914

As an angle

133,669° = 371 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχξθʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋩
Chinese
一十三萬三千六百六十九
Chinese (financial)
壹拾參萬參仟陸佰陸拾玖
In other modern scripts
Eastern Arabic ١٣٣٦٦٩ Devanagari १३३६६९ Bengali ১৩৩৬৬৯ Tamil ௧௩௩௬௬௯ Thai ๑๓๓๖๖๙ Tibetan ༡༣༣༦༦༩ Khmer ១៣៣៦៦៩ Lao ໑໓໓໖໖໙ Burmese ၁၃၃၆၆၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133673.

Unicode codepoint
𠨥
CJK Unified Ideograph-20A25
U+20A25
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A5 (4 bytes).

Hex color
#020A25
RGB(2, 10, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.37.

Address
0.2.10.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.37

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 133,669 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 133669 first appears in π at position 39,490 of the decimal expansion (the 39,490ordinal-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.