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133,387

133,387 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.).

133,387 (one hundred thirty-three thousand three hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2090B.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Lazy Caterer Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
783,331
Recamán's sequence
a(35,434) = 133,387
Square (n²)
17,792,091,769
Cube (n³)
2,373,233,744,791,603
Divisor count
2
σ(n) — sum of divisors
133,388
φ(n) — Euler's totient
133,386

Primality

133,387 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133387
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,387)
1 × 133387
First multiples
133,387 · 266,774 (double) · 400,161 · 533,548 · 666,935 · 800,322 · 933,709 · 1,067,096 · 1,200,483 · 1,333,870

Sums & aliquot sequence

As consecutive integers: 66,693 + 66,694

Continued fraction of √n

√133,387 = [365; (4, 1, 1, 32, 1, 1, 1, 4, 1, 4, 1, 5, 4, 1, 3, 1, 14, 1, 2, 1, 103, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred eighty-seven
Ordinal
133387th
Binary
100000100100001011
Octal
404413
Hexadecimal
0x2090B
Base64
AgkL
One's complement
4,294,833,908 (32-bit)
Scientific notation
1.33387 × 10⁵
As a duration
133,387 s = 1 day, 13 hours, 3 minutes, 7 seconds
In other bases
ternary (3) 20202222021
quaternary (4) 200210023
quinary (5) 13232022
senary (6) 2505311
septenary (7) 1063612
nonary (9) 222867
undecimal (11) 91241
duodecimal (12) 65237
tridecimal (13) 48937
tetradecimal (14) 36879
pentadecimal (15) 297c7

As an angle

133,387° = 370 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτπζʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋧
Chinese
一十三萬三千三百八十七
Chinese (financial)
壹拾參萬參仟參佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٣٣٨٧ Devanagari १३३३८७ Bengali ১৩৩৩৮৭ Tamil ௧௩௩௩௮௭ Thai ๑๓๓๓๘๗ Tibetan ༡༣༣༣༨༧ Khmer ១៣៣៣៨៧ Lao ໑໓໓໓໘໗ Burmese ၁၃၃၃၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133391.

Unicode codepoint
𠤋
CJK Unified Ideograph-2090B
U+2090B
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 8B (4 bytes).

Hex color
#02090B
RGB(2, 9, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.11.

Address
0.2.9.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.11

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 133,387 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 133387 first appears in π at position 660,611 of the decimal expansion (the 660,611ordinal-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.