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133,936

133,936 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.).

133,936 (one hundred thirty-three thousand nine hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 761. Its proper divisors sum to 149,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B30.

Abundant Number Evil Number Gapful Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,458
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
639,331
Square (n²)
17,938,852,096
Cube (n³)
2,402,658,094,329,856
Divisor count
20
σ(n) — sum of divisors
283,464
φ(n) — Euler's totient
60,800
Sum of prime factors
780

Primality

Prime factorization: 2 4 × 11 × 761

Nearest primes: 133,919 (−17) · 133,949 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 761 · 1522 · 3044 · 6088 · 8371 · 12176 · 16742 · 33484 · 66968 (half) · 133936
Aliquot sum (sum of proper divisors): 149,528
Factor pairs (a × b = 133,936)
1 × 133936
2 × 66968
4 × 33484
8 × 16742
11 × 12176
16 × 8371
22 × 6088
44 × 3044
88 × 1522
176 × 761
First multiples
133,936 · 267,872 (double) · 401,808 · 535,744 · 669,680 · 803,616 · 937,552 · 1,071,488 · 1,205,424 · 1,339,360

Sums & aliquot sequence

As consecutive integers: 12,171 + 12,172 + … + 12,181 4,170 + 4,171 + … + 4,201 205 + 206 + … + 556
Aliquot sequence: 133,936 149,528 130,852 98,146 53,918 26,962 19,910 19,402 10,298 6,022 3,014 1,954 980 1,414 1,034 694 350 — unresolved within range

Continued fraction of √n

√133,936 = [365; (1, 35, 1, 1, 2, 28, 1, 7, 3, 1, 6, 1, 17, 1, 8, 1, 2, 6, 7, 1, 1, 4, 1, 4, …)]

Representations

In words
one hundred thirty-three thousand nine hundred thirty-six
Ordinal
133936th
Binary
100000101100110000
Octal
405460
Hexadecimal
0x20B30
Base64
Agsw
One's complement
4,294,833,359 (32-bit)
Scientific notation
1.33936 × 10⁵
As a duration
133,936 s = 1 day, 13 hours, 12 minutes, 16 seconds
In other bases
ternary (3) 20210201121
quaternary (4) 200230300
quinary (5) 13241221
senary (6) 2512024
septenary (7) 1065325
nonary (9) 223647
undecimal (11) 916a0
duodecimal (12) 65614
tridecimal (13) 48c6a
tetradecimal (14) 36b4c
pentadecimal (15) 29a41

As an angle

133,936° = 372 × 360° + 16°
16° ≈ 0.279 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡλϛʹ
Mayan (base 20)
𝋰·𝋮·𝋰·𝋰
Chinese
一十三萬三千九百三十六
Chinese (financial)
壹拾參萬參仟玖佰參拾陸
In other modern scripts
Eastern Arabic ١٣٣٩٣٦ Devanagari १३३९३६ Bengali ১৩৩৯৩৬ Tamil ௧௩௩௯௩௬ Thai ๑๓๓๙๓๖ Tibetan ༡༣༣༩༣༦ Khmer ១៣៣៩៣៦ Lao ໑໓໓໙໓໖ Burmese ၁၃၃၉၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133936, here are decompositions:

  • 17 + 133919 = 133936
  • 59 + 133877 = 133936
  • 83 + 133853 = 133936
  • 167 + 133769 = 133936
  • 227 + 133709 = 133936
  • 239 + 133697 = 133936
  • 263 + 133673 = 133936
  • 353 + 133583 = 133936

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬰
CJK Unified Ideograph-20B30
U+20B30
Other letter (Lo)

UTF-8 encoding: F0 A0 AC B0 (4 bytes).

Hex color
#020B30
RGB(2, 11, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.48.

Address
0.2.11.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.48

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 133,936 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 133936 first appears in π at position 281 of the decimal expansion (the 281ordinal-suffix:st 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