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133,038

133,038 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.).

133,038 (one hundred thirty-three thousand thirty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 389. Its proper divisors sum to 171,162, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207AE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
830,331
Square (n²)
17,699,109,444
Cube (n³)
2,354,654,122,210,872
Divisor count
24
σ(n) — sum of divisors
304,200
φ(n) — Euler's totient
41,904
Sum of prime factors
416

Primality

Prime factorization: 2 × 3 2 × 19 × 389

Nearest primes: 133,033 (−5) · 133,039 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 342 · 389 · 778 · 1167 · 2334 · 3501 · 7002 · 7391 · 14782 · 22173 · 44346 · 66519 (half) · 133038
Aliquot sum (sum of proper divisors): 171,162
Factor pairs (a × b = 133,038)
1 × 133038
2 × 66519
3 × 44346
6 × 22173
9 × 14782
18 × 7391
19 × 7002
38 × 3501
57 × 2334
114 × 1167
171 × 778
342 × 389
First multiples
133,038 · 266,076 (double) · 399,114 · 532,152 · 665,190 · 798,228 · 931,266 · 1,064,304 · 1,197,342 · 1,330,380

Sums & aliquot sequence

As consecutive integers: 44,345 + 44,346 + 44,347 33,258 + 33,259 + 33,260 + 33,261 14,778 + 14,779 + … + 14,786 11,081 + 11,082 + … + 11,092
Aliquot sequence: 133,038 171,162 211,194 258,246 301,326 301,338 351,600 778,536 1,524,024 2,683,296 6,908,832 16,678,368 37,532,880 119,849,904 215,563,772 165,012,004 123,759,010 — unresolved within range

Continued fraction of √n

√133,038 = [364; (1, 2, 1, 9, 4, 8, 1, 3, 4, 1, 5, 2, 2, 1, 5, 3, 1, 2, 1, 1, 1, 5, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand thirty-eight
Ordinal
133038th
Binary
100000011110101110
Octal
403656
Hexadecimal
0x207AE
Base64
Ageu
One's complement
4,294,834,257 (32-bit)
Scientific notation
1.33038 × 10⁵
As a duration
133,038 s = 1 day, 12 hours, 57 minutes, 18 seconds
In other bases
ternary (3) 20202111100
quaternary (4) 200132232
quinary (5) 13224123
senary (6) 2503530
septenary (7) 1062603
nonary (9) 222440
undecimal (11) 90a54
duodecimal (12) 64ba6
tridecimal (13) 48729
tetradecimal (14) 366aa
pentadecimal (15) 29643

As an angle

133,038° = 369 × 360° + 198°
198° ≈ 3.456 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγληʹ
Mayan (base 20)
𝋰·𝋬·𝋫·𝋲
Chinese
一十三萬三千零三十八
Chinese (financial)
壹拾參萬參仟零參拾捌
In other modern scripts
Eastern Arabic ١٣٣٠٣٨ Devanagari १३३०३८ Bengali ১৩৩০৩৮ Tamil ௧௩௩௦௩௮ Thai ๑๓๓๐๓๘ Tibetan ༡༣༣༠༣༨ Khmer ១៣៣០៣៨ Lao ໑໓໓໐໓໘ Burmese ၁၃၃၀၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133038, here are decompositions:

  • 5 + 133033 = 133038
  • 67 + 132971 = 133038
  • 71 + 132967 = 133038
  • 89 + 132949 = 133038
  • 109 + 132929 = 133038
  • 127 + 132911 = 133038
  • 151 + 132887 = 133038
  • 179 + 132859 = 133038

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞮
CJK Unified Ideograph-207Ae
U+207AE
Other letter (Lo)

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

Hex color
#0207AE
RGB(2, 7, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.174.

Address
0.2.7.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.174

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 133,038 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

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