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133,988

133,988 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.).

133,988 (one hundred thirty-three thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 19 × 41 × 43. Written other ways, in hexadecimal, 0x20B64.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
5,184
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
889,331
Square (n²)
17,952,784,144
Cube (n³)
2,405,457,641,886,272
Divisor count
24
σ(n) — sum of divisors
258,720
φ(n) — Euler's totient
60,480
Sum of prime factors
107

Primality

Prime factorization: 2 2 × 19 × 41 × 43

Nearest primes: 133,981 (−7) · 133,993 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 19 · 38 · 41 · 43 · 76 · 82 · 86 · 164 · 172 · 779 · 817 · 1558 · 1634 · 1763 · 3116 · 3268 · 3526 · 7052 · 33497 · 66994 (half) · 133988
Aliquot sum (sum of proper divisors): 124,732
Factor pairs (a × b = 133,988)
1 × 133988
2 × 66994
4 × 33497
19 × 7052
38 × 3526
41 × 3268
43 × 3116
76 × 1763
82 × 1634
86 × 1558
164 × 817
172 × 779
First multiples
133,988 · 267,976 (double) · 401,964 · 535,952 · 669,940 · 803,928 · 937,916 · 1,071,904 · 1,205,892 · 1,339,880

Sums & aliquot sequence

As consecutive integers: 16,745 + 16,746 + … + 16,752 7,043 + 7,044 + … + 7,061 3,248 + 3,249 + … + 3,288 3,095 + 3,096 + … + 3,137
Aliquot sequence: 133,988 124,732 93,556 78,924 105,260 128,260 173,384 151,726 78,314 39,160 58,040 72,640 101,096 88,474 48,614 25,306 12,656 — unresolved within range

Continued fraction of √n

√133,988 = [366; (22, 1, 7, 11, 3, 5, 5, 1, 1, 7, 2, 2, 2, 1, 1, 3, 1, 2, 1, 14, 4, 1, 7, 4, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred eighty-eight
Ordinal
133988th
Binary
100000101101100100
Octal
405544
Hexadecimal
0x20B64
Base64
Agtk
One's complement
4,294,833,307 (32-bit)
Scientific notation
1.33988 × 10⁵
As a duration
133,988 s = 1 day, 13 hours, 13 minutes, 8 seconds
In other bases
ternary (3) 20210210112
quaternary (4) 200231210
quinary (5) 13241423
senary (6) 2512152
septenary (7) 1065431
nonary (9) 223715
undecimal (11) 91738
duodecimal (12) 65658
tridecimal (13) 48caa
tetradecimal (14) 36b88
pentadecimal (15) 29a78
Palindromic in base 6

As an angle

133,988° = 372 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡπηʹ
Mayan (base 20)
𝋰·𝋮·𝋳·𝋨
Chinese
一十三萬三千九百八十八
Chinese (financial)
壹拾參萬參仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٩٨٨ Devanagari १३३९८८ Bengali ১৩৩৯৮৮ Tamil ௧௩௩௯௮௮ Thai ๑๓๓๙๘๘ Tibetan ༡༣༣༩༨༨ Khmer ១៣៣៩៨៨ Lao ໑໓໓໙໘໘ Burmese ၁၃၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133988, here are decompositions:

  • 7 + 133981 = 133988
  • 157 + 133831 = 133988
  • 271 + 133717 = 133988
  • 277 + 133711 = 133988
  • 331 + 133657 = 133988
  • 541 + 133447 = 133988
  • 571 + 133417 = 133988
  • 601 + 133387 = 133988

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭤
CJK Unified Ideograph-20B64
U+20B64
Other letter (Lo)

UTF-8 encoding: F0 A0 AD A4 (4 bytes).

Hex color
#020B64
RGB(2, 11, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.100.

Address
0.2.11.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.100

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 133,988 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.