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133,856

133,856 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.).

133,856 (one hundred thirty-three thousand eight hundred fifty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 47 × 89. Its proper divisors sum to 138,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,160
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
658,331
Square (n²)
17,917,428,736
Cube (n³)
2,398,355,340,886,016
Divisor count
24
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
64,768
Sum of prime factors
146

Primality

Prime factorization: 2 5 × 47 × 89

Nearest primes: 133,853 (−3) · 133,873 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 47 · 89 · 94 · 178 · 188 · 356 · 376 · 712 · 752 · 1424 · 1504 · 2848 · 4183 · 8366 · 16732 · 33464 · 66928 (half) · 133856
Aliquot sum (sum of proper divisors): 138,304
Factor pairs (a × b = 133,856)
1 × 133856
2 × 66928
4 × 33464
8 × 16732
16 × 8366
32 × 4183
47 × 2848
89 × 1504
94 × 1424
178 × 752
188 × 712
356 × 376
First multiples
133,856 · 267,712 (double) · 401,568 · 535,424 · 669,280 · 803,136 · 936,992 · 1,070,848 · 1,204,704 · 1,338,560

Sums & aliquot sequence

As consecutive integers: 2,825 + 2,826 + … + 2,871 2,060 + 2,061 + … + 2,123 1,460 + 1,461 + … + 1,548
Aliquot sequence: 133,856 138,304 136,270 109,034 54,520 75,080 93,940 156,044 156,100 232,764 428,484 714,364 762,244 789,866 758,422 595,898 311,494 — unresolved within range

Continued fraction of √n

√133,856 = [365; (1, 6, 3, 7, 4, 2, 3, 2, 4, 7, 3, 6, 1, 730)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred fifty-six
Ordinal
133856th
Binary
100000101011100000
Octal
405340
Hexadecimal
0x20AE0
Base64
Agrg
One's complement
4,294,833,439 (32-bit)
Scientific notation
1.33856 × 10⁵
As a duration
133,856 s = 1 day, 13 hours, 10 minutes, 56 seconds
In other bases
ternary (3) 20210121122
quaternary (4) 200223200
quinary (5) 13240411
senary (6) 2511412
septenary (7) 1065152
nonary (9) 223548
undecimal (11) 91628
duodecimal (12) 65568
tridecimal (13) 48c08
tetradecimal (14) 36ad2
pentadecimal (15) 299db

As an angle

133,856° = 371 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωνϛʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋰
Chinese
一十三萬三千八百五十六
Chinese (financial)
壹拾參萬參仟捌佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٨٥٦ Devanagari १३३८५६ Bengali ১৩৩৮৫৬ Tamil ௧௩௩௮௫௬ Thai ๑๓๓๘๕๖ Tibetan ༡༣༣༨༥༦ Khmer ១៣៣៨៥៦ Lao ໑໓໓໘໕໖ Burmese ၁၃၃၈၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133856, here are decompositions:

  • 3 + 133853 = 133856
  • 13 + 133843 = 133856
  • 43 + 133813 = 133856
  • 139 + 133717 = 133856
  • 199 + 133657 = 133856
  • 223 + 133633 = 133856
  • 313 + 133543 = 133856
  • 337 + 133519 = 133856

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫠
CJK Unified Ideograph-20Ae0
U+20AE0
Other letter (Lo)

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

Hex color
#020AE0
RGB(2, 10, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.224.

Address
0.2.10.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.224

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 133,856 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 133856 first appears in π at position 543,435 of the decimal expansion (the 543,435ordinal-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.