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133,854

133,854 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.).

133,854 (one hundred thirty-three thousand eight hundred fifty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 3,187. Its proper divisors sum to 172,194, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20ADE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,440
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
458,331
Square (n²)
17,916,893,316
Cube (n³)
2,398,247,837,919,864
Divisor count
16
σ(n) — sum of divisors
306,048
φ(n) — Euler's totient
38,232
Sum of prime factors
3,199

Primality

Prime factorization: 2 × 3 × 7 × 3187

Nearest primes: 133,853 (−1) · 133,873 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 3187 · 6374 · 9561 · 19122 · 22309 · 44618 · 66927 (half) · 133854
Aliquot sum (sum of proper divisors): 172,194
Factor pairs (a × b = 133,854)
1 × 133854
2 × 66927
3 × 44618
6 × 22309
7 × 19122
14 × 9561
21 × 6374
42 × 3187
First multiples
133,854 · 267,708 (double) · 401,562 · 535,416 · 669,270 · 803,124 · 936,978 · 1,070,832 · 1,204,686 · 1,338,540

Sums & aliquot sequence

As consecutive integers: 44,617 + 44,618 + 44,619 33,462 + 33,463 + 33,464 + 33,465 19,119 + 19,120 + … + 19,125 11,149 + 11,150 + … + 11,160
Aliquot sequence: 133,854 172,194 203,646 203,658 298,998 480,762 628,038 865,818 1,032,390 1,652,058 1,927,440 4,547,964 6,063,980 7,864,564 6,158,480 8,786,992 8,355,264 — unresolved within range

Continued fraction of √n

√133,854 = [365; (1, 6, 5, 1, 2, 2, 5, 1, 1, 2, 1, 16, 3, 2, 1, 10, 4, 1, 1, 28, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred fifty-four
Ordinal
133854th
Binary
100000101011011110
Octal
405336
Hexadecimal
0x20ADE
Base64
Agre
One's complement
4,294,833,441 (32-bit)
Scientific notation
1.33854 × 10⁵
As a duration
133,854 s = 1 day, 13 hours, 10 minutes, 54 seconds
In other bases
ternary (3) 20210121120
quaternary (4) 200223132
quinary (5) 13240404
senary (6) 2511410
septenary (7) 1065150
nonary (9) 223546
undecimal (11) 91626
duodecimal (12) 65566
tridecimal (13) 48c06
tetradecimal (14) 36ad0
pentadecimal (15) 299d9

As an angle

133,854° = 371 × 360° + 294°
294° ≈ 5.131 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωνδʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋮
Chinese
一十三萬三千八百五十四
Chinese (financial)
壹拾參萬參仟捌佰伍拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٥٤ Devanagari १३३८५४ Bengali ১৩৩৮৫৪ Tamil ௧௩௩௮௫௪ Thai ๑๓๓๘๕๔ Tibetan ༡༣༣༨༥༤ Khmer ១៣៣៨៥៤ Lao ໑໓໓໘໕໔ Burmese ၁၃၃၈၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133854, here are decompositions:

  • 11 + 133843 = 133854
  • 23 + 133831 = 133854
  • 41 + 133813 = 133854
  • 43 + 133811 = 133854
  • 53 + 133801 = 133854
  • 73 + 133781 = 133854
  • 131 + 133723 = 133854
  • 137 + 133717 = 133854

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫞
CJK Unified Ideograph-20Ade
U+20ADE
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 9E (4 bytes).

Hex color
#020ADE
RGB(2, 10, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.222.

Address
0.2.10.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.222

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 133,854 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 133854 first appears in π at position 501,357 of the decimal expansion (the 501,357ordinal-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°.