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133,559

133,559 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.).

133,559 (one hundred thirty-three thousand five hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x209B7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,025
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
955,331
Square (n²)
17,838,006,481
Cube (n³)
2,382,426,307,595,879
Divisor count
2
σ(n) — sum of divisors
133,560
φ(n) — Euler's totient
133,558

Primality

133,559 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133559
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,559)
1 × 133559
First multiples
133,559 · 267,118 (double) · 400,677 · 534,236 · 667,795 · 801,354 · 934,913 · 1,068,472 · 1,202,031 · 1,335,590

Sums & aliquot sequence

As consecutive integers: 66,779 + 66,780

Continued fraction of √n

√133,559 = [365; (2, 5, 2, 1, 7, 11, 8, 1, 2, 1, 1, 9, 3, 3, 2, 1, 1, 2, 1, 3, 4, 2, 1, 3, …)]

Representations

In words
one hundred thirty-three thousand five hundred fifty-nine
Ordinal
133559th
Binary
100000100110110111
Octal
404667
Hexadecimal
0x209B7
Base64
Agm3
One's complement
4,294,833,736 (32-bit)
Scientific notation
1.33559 × 10⁵
As a duration
133,559 s = 1 day, 13 hours, 5 minutes, 59 seconds
In other bases
ternary (3) 20210012122
quaternary (4) 200212313
quinary (5) 13233214
senary (6) 2510155
septenary (7) 1064246
nonary (9) 223178
undecimal (11) 91388
duodecimal (12) 6535b
tridecimal (13) 48a3a
tetradecimal (14) 3695d
pentadecimal (15) 2988e

As an angle

133,559° = 370 × 360° + 359°
359° ≈ 6.266 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφνθʹ
Mayan (base 20)
𝋰·𝋭·𝋱·𝋳
Chinese
一十三萬三千五百五十九
Chinese (financial)
壹拾參萬參仟伍佰伍拾玖
In other modern scripts
Eastern Arabic ١٣٣٥٥٩ Devanagari १३३५५९ Bengali ১৩৩৫৫৯ Tamil ௧௩௩௫௫௯ Thai ๑๓๓๕๕๙ Tibetan ༡༣༣༥༥༩ Khmer ១៣៣៥៥៩ Lao ໑໓໓໕໕໙ Burmese ၁၃၃၅၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠦷
CJK Unified Ideograph-209B7
U+209B7
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 B7 (4 bytes).

Hex color
#0209B7
RGB(2, 9, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.183.

Address
0.2.9.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.183

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 133,559 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 133559 first appears in π at position 348,178 of the decimal expansion (the 348,178ordinal-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.