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133,966

133,966 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.).

133,966 (one hundred thirty-three thousand nine hundred sixty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 1,367. Written other ways, in hexadecimal, 0x20B4E.

Arithmetic Number Cube-Free Deficient Number Evil Number Nonagonal

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,916
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
669,331
Square (n²)
17,946,889,156
Cube (n³)
2,404,272,952,672,696
Divisor count
12
σ(n) — sum of divisors
233,928
φ(n) — Euler's totient
57,372
Sum of prime factors
1,383

Primality

Prime factorization: 2 × 7 2 × 1367

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

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 14 · 49 · 98 · 1367 · 2734 · 9569 · 19138 · 66983 (half) · 133966
Aliquot sum (sum of proper divisors): 99,962
Factor pairs (a × b = 133,966)
1 × 133966
2 × 66983
7 × 19138
14 × 9569
49 × 2734
98 × 1367
First multiples
133,966 · 267,932 (double) · 401,898 · 535,864 · 669,830 · 803,796 · 937,762 · 1,071,728 · 1,205,694 · 1,339,660

Sums & aliquot sequence

As consecutive integers: 33,490 + 33,491 + 33,492 + 33,493 19,135 + 19,136 + … + 19,141 4,771 + 4,772 + … + 4,798 2,710 + 2,711 + … + 2,758
Aliquot sequence: 133,966 99,962 51,430 44,330 52,438 27,194 13,600 21,554 13,306 6,656 7,666 3,836 3,892 3,948 6,804 13,580 19,348 — unresolved within range

Continued fraction of √n

√133,966 = [366; (73, 4, 1, 28, 2, 12, 2, 1, 5, 1, 1, 2, 1, 1, 2, 1, 5, 1, 6, 1, 14, 1, 2, 2, …)]

Representations

In words
one hundred thirty-three thousand nine hundred sixty-six
Ordinal
133966th
Binary
100000101101001110
Octal
405516
Hexadecimal
0x20B4E
Base64
AgtO
One's complement
4,294,833,329 (32-bit)
Scientific notation
1.33966 × 10⁵
As a duration
133,966 s = 1 day, 13 hours, 12 minutes, 46 seconds
In other bases
ternary (3) 20210202201
quaternary (4) 200231032
quinary (5) 13241331
senary (6) 2512114
septenary (7) 1065400
nonary (9) 223681
undecimal (11) 91718
duodecimal (12) 6563a
tridecimal (13) 48c91
tetradecimal (14) 36b70
pentadecimal (15) 29a61

As an angle

133,966° = 372 × 360° + 46°
46° ≈ 0.803 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡξϛʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋦
Chinese
一十三萬三千九百六十六
Chinese (financial)
壹拾參萬參仟玖佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣٩٦٦ Devanagari १३३९६६ Bengali ১৩৩৯৬৬ Tamil ௧௩௩௯௬௬ Thai ๑๓๓๙๖๖ Tibetan ༡༣༣༩༦༦ Khmer ១៣៣៩៦៦ Lao ໑໓໓໙໖໖ Burmese ၁၃၃၉၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133966, here are decompositions:

  • 3 + 133963 = 133966
  • 17 + 133949 = 133966
  • 47 + 133919 = 133966
  • 89 + 133877 = 133966
  • 113 + 133853 = 133966
  • 197 + 133769 = 133966
  • 233 + 133733 = 133966
  • 257 + 133709 = 133966

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭎
CJK Unified Ideograph-20B4E
U+20B4E
Other letter (Lo)

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

Hex color
#020B4E
RGB(2, 11, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.78.

Address
0.2.11.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.78

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 133,966 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 133966 first appears in π at position 430,054 of the decimal expansion (the 430,054ordinal-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