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133,769

133,769 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.).

133,769 (one hundred thirty-three thousand seven 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, 0x20A89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
967,331
Square (n²)
17,894,145,361
Cube (n³)
2,393,681,930,795,609
Divisor count
2
σ(n) — sum of divisors
133,770
φ(n) — Euler's totient
133,768

Primality

133,769 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133769
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,769)
1 × 133769
First multiples
133,769 · 267,538 (double) · 401,307 · 535,076 · 668,845 · 802,614 · 936,383 · 1,070,152 · 1,203,921 · 1,337,690

Sums & aliquot sequence

As a sum of two squares: 88² + 355²
As consecutive integers: 66,884 + 66,885

Continued fraction of √n

√133,769 = [365; (1, 2, 1, 10, 1, 1, 65, 1, 42, 22, 1, 5, 11, 3, 1, 4, 1, 1, 1, 1, 1, 7, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand seven hundred sixty-nine
Ordinal
133769th
Binary
100000101010001001
Octal
405211
Hexadecimal
0x20A89
Base64
AgqJ
One's complement
4,294,833,526 (32-bit)
Scientific notation
1.33769 × 10⁵
As a duration
133,769 s = 1 day, 13 hours, 9 minutes, 29 seconds
In other bases
ternary (3) 20210111102
quaternary (4) 200222021
quinary (5) 13240034
senary (6) 2511145
septenary (7) 1064666
nonary (9) 223442
undecimal (11) 91559
duodecimal (12) 654b5
tridecimal (13) 48b6c
tetradecimal (14) 36a6d
pentadecimal (15) 2997e

As an angle

133,769° = 371 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψξθʹ
Mayan (base 20)
𝋰·𝋮·𝋨·𝋩
Chinese
一十三萬三千七百六十九
Chinese (financial)
壹拾參萬參仟柒佰陸拾玖
In other modern scripts
Eastern Arabic ١٣٣٧٦٩ Devanagari १३३७६९ Bengali ১৩৩৭৬৯ Tamil ௧௩௩௭௬௯ Thai ๑๓๓๗๖๙ Tibetan ༡༣༣༧༦༩ Khmer ១៣៣៧៦៩ Lao ໑໓໓໗໖໙ Burmese ၁၃၃၇၆၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠪉
CJK Unified Ideograph-20A89
U+20A89
Other letter (Lo)

UTF-8 encoding: F0 A0 AA 89 (4 bytes).

Hex color
#020A89
RGB(2, 10, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.137.

Address
0.2.10.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.137

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 133,769 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 133769 first appears in π at position 55,029 of the decimal expansion (the 55,029ordinal-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.