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136,338

136,338 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.).

136,338 (one hundred thirty-six thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 733. Its proper divisors sum to 145,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21492.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
833,631
Square (n²)
18,588,050,244
Cube (n³)
2,534,257,594,166,472
Divisor count
16
σ(n) — sum of divisors
281,856
φ(n) — Euler's totient
43,920
Sum of prime factors
769

Primality

Prime factorization: 2 × 3 × 31 × 733

Nearest primes: 136,337 (−1) · 136,343 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 733 · 1466 · 2199 · 4398 · 22723 · 45446 · 68169 (half) · 136338
Aliquot sum (sum of proper divisors): 145,518
Factor pairs (a × b = 136,338)
1 × 136338
2 × 68169
3 × 45446
6 × 22723
31 × 4398
62 × 2199
93 × 1466
186 × 733
First multiples
136,338 · 272,676 (double) · 409,014 · 545,352 · 681,690 · 818,028 · 954,366 · 1,090,704 · 1,227,042 · 1,363,380

Sums & aliquot sequence

As consecutive integers: 45,445 + 45,446 + 45,447 34,083 + 34,084 + 34,085 + 34,086 11,356 + 11,357 + … + 11,367 4,383 + 4,384 + … + 4,413
Aliquot sequence: 136,338 145,518 150,162 160,878 160,890 240,006 310,362 391,206 399,498 472,278 472,290 930,846 1,257,954 1,257,966 1,628,658 1,900,140 3,905,940 — unresolved within range

Continued fraction of √n

√136,338 = [369; (4, 5, 1, 5, 1, 4, 2, 1, 7, 1, 1, 1, 1, 3, 1, 1, 1, 3, 2, 1, 1, 7, 43, 3, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand three hundred thirty-eight
Ordinal
136338th
Binary
100001010010010010
Octal
412222
Hexadecimal
0x21492
Base64
AhSS
One's complement
4,294,830,957 (32-bit)
Scientific notation
1.36338 × 10⁵
As a duration
136,338 s = 1 day, 13 hours, 52 minutes, 18 seconds
In other bases
ternary (3) 20221000120
quaternary (4) 201102102
quinary (5) 13330323
senary (6) 2531110
septenary (7) 1105326
nonary (9) 227016
undecimal (11) 93484
duodecimal (12) 66a96
tridecimal (13) 4a097
tetradecimal (14) 37986
pentadecimal (15) 2a5e3

As an angle

136,338° = 378 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛτληʹ
Mayan (base 20)
𝋱·𝋠·𝋰·𝋲
Chinese
一十三萬六千三百三十八
Chinese (financial)
壹拾參萬陸仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣٦٣٣٨ Devanagari १३६३३८ Bengali ১৩৬৩৩৮ Tamil ௧௩௬௩௩௮ Thai ๑๓๖๓๓๘ Tibetan ༡༣༦༣༣༨ Khmer ១៣៦៣៣៨ Lao ໑໓໖໓໓໘ Burmese ၁၃၆၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136338, here are decompositions:

  • 5 + 136333 = 136338
  • 11 + 136327 = 136338
  • 19 + 136319 = 136338
  • 29 + 136309 = 136338
  • 61 + 136277 = 136338
  • 101 + 136237 = 136338
  • 131 + 136207 = 136338
  • 149 + 136189 = 136338

Showing the first eight; more decompositions exist.

Unicode codepoint
𡒒
CJK Unified Ideograph-21492
U+21492
Other letter (Lo)

UTF-8 encoding: F0 A1 92 92 (4 bytes).

Hex color
#021492
RGB(2, 20, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.146.

Address
0.2.20.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.146

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 136,338 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°.