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133,447

133,447 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.).

133,447 (one hundred thirty-three thousand four hundred forty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20947.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
1,008
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
744,331
Recamán's sequence
a(35,554) = 133,447
Square (n²)
17,808,101,809
Cube (n³)
2,376,437,762,105,623
Divisor count
2
σ(n) — sum of divisors
133,448
φ(n) — Euler's totient
133,446

Primality

133,447 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133447
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,447)
1 × 133447
First multiples
133,447 · 266,894 (double) · 400,341 · 533,788 · 667,235 · 800,682 · 934,129 · 1,067,576 · 1,201,023 · 1,334,470

Sums & aliquot sequence

As consecutive integers: 66,723 + 66,724

Continued fraction of √n

√133,447 = [365; (3, 3, 2, 4, 1, 2, 1, 19, 121, 1, 2, 1, 1, 6, 7, 1, 1, 1, 1, 1, 2, 1, 2, 80, …)]

Representations

In words
one hundred thirty-three thousand four hundred forty-seven
Ordinal
133447th
Binary
100000100101000111
Octal
404507
Hexadecimal
0x20947
Base64
AglH
One's complement
4,294,833,848 (32-bit)
Scientific notation
1.33447 × 10⁵
As a duration
133,447 s = 1 day, 13 hours, 4 minutes, 7 seconds
In other bases
ternary (3) 20210001111
quaternary (4) 200211013
quinary (5) 13232242
senary (6) 2505451
septenary (7) 1064026
nonary (9) 223044
undecimal (11) 91296
duodecimal (12) 65287
tridecimal (13) 48982
tetradecimal (14) 368bd
pentadecimal (15) 29817

As an angle

133,447° = 370 × 360° + 247°
247° ≈ 4.311 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυμζʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋧
Chinese
一十三萬三千四百四十七
Chinese (financial)
壹拾參萬參仟肆佰肆拾柒
In other modern scripts
Eastern Arabic ١٣٣٤٤٧ Devanagari १३३४४७ Bengali ১৩৩৪৪৭ Tamil ௧௩௩௪௪௭ Thai ๑๓๓๔๔๗ Tibetan ༡༣༣༤༤༧ Khmer ១៣៣៤៤៧ Lao ໑໓໓໔໔໗ Burmese ၁၃၃၄၄၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133451.

Unicode codepoint
𠥇
CJK Unified Ideograph-20947
U+20947
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 87 (4 bytes).

Hex color
#020947
RGB(2, 9, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.71.

Address
0.2.9.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.71

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 133,447 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 133447 first appears in π at position 209,655 of the decimal expansion (the 209,655ordinal-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.