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133,964

133,964 is a composite number, even.

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.).

133,964 (one hundred thirty-three thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 107 × 313. Written other ways, in hexadecimal, 0x20B4C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,944
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
469,331
Square (n²)
17,946,353,296
Cube (n³)
2,404,165,272,945,344
Divisor count
12
σ(n) — sum of divisors
237,384
φ(n) — Euler's totient
66,144
Sum of prime factors
424

Primality

Prime factorization: 2 2 × 107 × 313

Nearest primes: 133,963 (−1) · 133,967 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 107 · 214 · 313 · 428 · 626 · 1252 · 33491 · 66982 (half) · 133964
Aliquot sum (sum of proper divisors): 103,420
Factor pairs (a × b = 133,964)
1 × 133964
2 × 66982
4 × 33491
107 × 1252
214 × 626
313 × 428
First multiples
133,964 · 267,928 (double) · 401,892 · 535,856 · 669,820 · 803,784 · 937,748 · 1,071,712 · 1,205,676 · 1,339,640

Sums & aliquot sequence

As consecutive integers: 16,742 + 16,743 + … + 16,749 1,199 + 1,200 + … + 1,305 272 + 273 + … + 584
Aliquot sequence: 133,964 103,420 113,804 94,180 115,988 89,644 69,900 133,212 196,404 297,516 396,716 326,944 355,724 273,100 319,744 319,006 159,506 — unresolved within range

Continued fraction of √n

√133,964 = [366; (91, 1, 1, 182, 1, 1, 91, 732)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred sixty-four
Ordinal
133964th
Binary
100000101101001100
Octal
405514
Hexadecimal
0x20B4C
Base64
AgtM
One's complement
4,294,833,331 (32-bit)
Scientific notation
1.33964 × 10⁵
As a duration
133,964 s = 1 day, 13 hours, 12 minutes, 44 seconds
In other bases
ternary (3) 20210202122
quaternary (4) 200231030
quinary (5) 13241324
senary (6) 2512112
septenary (7) 1065365
nonary (9) 223678
undecimal (11) 91716
duodecimal (12) 65638
tridecimal (13) 48c8c
tetradecimal (14) 36b6c
pentadecimal (15) 29a5e

As an angle

133,964° = 372 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡξδʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋤
Chinese
一十三萬三千九百六十四
Chinese (financial)
壹拾參萬參仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٩٦٤ Devanagari १३३९६४ Bengali ১৩৩৯৬৪ Tamil ௧௩௩௯௬௪ Thai ๑๓๓๙๖๔ Tibetan ༡༣༣༩༦༤ Khmer ១៣៣៩៦៤ Lao ໑໓໓໙໖໔ Burmese ၁၃၃၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133964, here are decompositions:

  • 151 + 133813 = 133964
  • 163 + 133801 = 133964
  • 241 + 133723 = 133964
  • 307 + 133657 = 133964
  • 331 + 133633 = 133964
  • 367 + 133597 = 133964
  • 421 + 133543 = 133964
  • 547 + 133417 = 133964

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭌
CJK Unified Ideograph-20B4C
U+20B4C
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 8C (4 bytes).

Hex color
#020B4C
RGB(2, 11, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.76.

Address
0.2.11.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.76

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 133,964 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 133964 first appears in π at position 422,613 of the decimal expansion (the 422,613ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.