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133,991

133,991 is a composite number, 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.).

133,991 (one hundred thirty-three thousand nine hundred ninety-one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 11 × 13 × 937. Written other ways, in hexadecimal, 0x20B67.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
729
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
199,331
Square (n²)
17,953,588,081
Cube (n³)
2,405,619,220,561,271
Divisor count
8
σ(n) — sum of divisors
157,584
φ(n) — Euler's totient
112,320
Sum of prime factors
961

Primality

Prime factorization: 11 × 13 × 937

Nearest primes: 133,981 (−10) · 133,993 (+2)

Divisors & multiples

All divisors (8)
1 · 11 · 13 · 143 · 937 · 10307 · 12181 · 133991
Aliquot sum (sum of proper divisors): 23,593
Factor pairs (a × b = 133,991)
1 × 133991
11 × 12181
13 × 10307
143 × 937
First multiples
133,991 · 267,982 (double) · 401,973 · 535,964 · 669,955 · 803,946 · 937,937 · 1,071,928 · 1,205,919 · 1,339,910

Sums & aliquot sequence

As consecutive integers: 66,995 + 66,996 12,176 + 12,177 + … + 12,186 10,301 + 10,302 + … + 10,313 6,080 + 6,081 + … + 6,101
Aliquot sequence: 133,991 23,593 1 0 — terminates at zero

Continued fraction of √n

√133,991 = [366; (20, 1, 10, 1, 5, 1, 12, 2, 5, 9, 3, 13, 2, 28, 1, 4, 20, 1, 2, 1, 1, 14, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred ninety-one
Ordinal
133991st
Binary
100000101101100111
Octal
405547
Hexadecimal
0x20B67
Base64
Agtn
One's complement
4,294,833,304 (32-bit)
Scientific notation
1.33991 × 10⁵
As a duration
133,991 s = 1 day, 13 hours, 13 minutes, 11 seconds
In other bases
ternary (3) 20210210122
quaternary (4) 200231213
quinary (5) 13241431
senary (6) 2512155
septenary (7) 1065434
nonary (9) 223718
undecimal (11) 91740
duodecimal (12) 6565b
tridecimal (13) 48cb0
tetradecimal (14) 36b8b
pentadecimal (15) 29a7b

As an angle

133,991° = 372 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγϡϟαʹ
Mayan (base 20)
𝋰·𝋮·𝋳·𝋫
Chinese
一十三萬三千九百九十一
Chinese (financial)
壹拾參萬參仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٣٩٩١ Devanagari १३३९९१ Bengali ১৩৩৯৯১ Tamil ௧௩௩௯௯௧ Thai ๑๓๓๙๙๑ Tibetan ༡༣༣༩༩༡ Khmer ១៣៣៩៩១ Lao ໑໓໓໙໙໑ Burmese ၁၃၃၉၉၁

Also seen as

Unicode codepoint
𠭧
CJK Unified Ideograph-20B67
U+20B67
Other letter (Lo)

UTF-8 encoding: F0 A0 AD A7 (4 bytes).

Hex color
#020B67
RGB(2, 11, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.103.

Address
0.2.11.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.103

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 133,991 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 133991 first appears in π at position 588,838 of the decimal expansion (the 588,838ordinal-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.