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133,836

133,836 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.).

133,836 (one hundred thirty-three thousand eight hundred thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 19 × 587. Its proper divisors sum to 195,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20ACC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
638,331
Square (n²)
17,912,074,896
Cube (n³)
2,397,280,455,781,056
Divisor count
24
σ(n) — sum of divisors
329,280
φ(n) — Euler's totient
42,192
Sum of prime factors
613

Primality

Prime factorization: 2 2 × 3 × 19 × 587

Nearest primes: 133,831 (−5) · 133,843 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 587 · 1174 · 1761 · 2348 · 3522 · 7044 · 11153 · 22306 · 33459 · 44612 · 66918 (half) · 133836
Aliquot sum (sum of proper divisors): 195,444
Factor pairs (a × b = 133,836)
1 × 133836
2 × 66918
3 × 44612
4 × 33459
6 × 22306
12 × 11153
19 × 7044
38 × 3522
57 × 2348
76 × 1761
114 × 1174
228 × 587
First multiples
133,836 · 267,672 (double) · 401,508 · 535,344 · 669,180 · 803,016 · 936,852 · 1,070,688 · 1,204,524 · 1,338,360

Sums & aliquot sequence

As consecutive integers: 44,611 + 44,612 + 44,613 16,726 + 16,727 + … + 16,733 7,035 + 7,036 + … + 7,053 5,565 + 5,566 + … + 5,588
Aliquot sequence: 133,836 195,444 312,336 595,406 441,394 228,926 126,394 63,200 93,040 123,464 144,376 126,344 124,756 93,574 62,666 31,336 27,434 — unresolved within range

Continued fraction of √n

√133,836 = [365; (1, 5, 10, 7, 4, 1, 1, 2, 1, 1, 1, 3, 1, 2, 3, 3, 2, 1, 11, 2, 90, 1, 47, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred thirty-six
Ordinal
133836th
Binary
100000101011001100
Octal
405314
Hexadecimal
0x20ACC
Base64
AgrM
One's complement
4,294,833,459 (32-bit)
Scientific notation
1.33836 × 10⁵
As a duration
133,836 s = 1 day, 13 hours, 10 minutes, 36 seconds
In other bases
ternary (3) 20210120220
quaternary (4) 200223030
quinary (5) 13240321
senary (6) 2511340
septenary (7) 1065123
nonary (9) 223526
undecimal (11) 9160a
duodecimal (12) 65550
tridecimal (13) 48bc1
tetradecimal (14) 36aba
pentadecimal (15) 299c6

As an angle

133,836° = 371 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωλϛʹ
Mayan (base 20)
𝋰·𝋮·𝋫·𝋰
Chinese
一十三萬三千八百三十六
Chinese (financial)
壹拾參萬參仟捌佰參拾陸
In other modern scripts
Eastern Arabic ١٣٣٨٣٦ Devanagari १३३८३६ Bengali ১৩৩৮৩৬ Tamil ௧௩௩௮௩௬ Thai ๑๓๓๘๓๖ Tibetan ༡༣༣༨༣༦ Khmer ១៣៣៨៣៦ Lao ໑໓໓໘໓໖ Burmese ၁၃၃၈၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133836, here are decompositions:

  • 5 + 133831 = 133836
  • 23 + 133813 = 133836
  • 67 + 133769 = 133836
  • 103 + 133733 = 133836
  • 113 + 133723 = 133836
  • 127 + 133709 = 133836
  • 139 + 133697 = 133836
  • 163 + 133673 = 133836

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫌
CJK Unified Ideograph-20Acc
U+20ACC
Other letter (Lo)

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

Hex color
#020ACC
RGB(2, 10, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.204.

Address
0.2.10.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.204

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 133,836 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 133836 first appears in π at position 934,269 of the decimal expansion (the 934,269ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.