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138,212

138,212 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.).

138,212 (one hundred thirty-eight thousand two hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 109 × 317. Written other ways, in hexadecimal, 0x21BE4.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
212,831
Recamán's sequence
a(492,403) = 138,212
Square (n²)
19,102,556,944
Cube (n³)
2,640,202,600,344,128
Divisor count
12
σ(n) — sum of divisors
244,860
φ(n) — Euler's totient
68,256
Sum of prime factors
430

Primality

Prime factorization: 2 2 × 109 × 317

Nearest primes: 138,209 (−3) · 138,239 (+27)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 109 · 218 · 317 · 436 · 634 · 1268 · 34553 · 69106 (half) · 138212
Aliquot sum (sum of proper divisors): 106,648
Factor pairs (a × b = 138,212)
1 × 138212
2 × 69106
4 × 34553
109 × 1268
218 × 634
317 × 436
First multiples
138,212 · 276,424 (double) · 414,636 · 552,848 · 691,060 · 829,272 · 967,484 · 1,105,696 · 1,243,908 · 1,382,120

Sums & aliquot sequence

As a sum of two squares: 136² + 346² = 214² + 304²
As consecutive integers: 17,273 + 17,274 + … + 17,280 1,214 + 1,215 + … + 1,322 278 + 279 + … + 594
Aliquot sequence: 138,212 106,648 93,332 70,006 46,634 33,334 23,834 14,074 7,814 3,910 3,866 1,936 2,187 1,093 1 0 — terminates at zero

Continued fraction of √n

√138,212 = [371; (1, 3, 3, 11, 1, 7, 2, 3, 2, 1, 1, 1, 1, 1, 1, 5, 1, 25, 1, 2, 2, 2, 23, 1, …)]

Representations

In words
one hundred thirty-eight thousand two hundred twelve
Ordinal
138212th
Binary
100001101111100100
Octal
415744
Hexadecimal
0x21BE4
Base64
Ahvk
One's complement
4,294,829,083 (32-bit)
Scientific notation
1.38212 × 10⁵
As a duration
138,212 s = 1 day, 14 hours, 23 minutes, 32 seconds
In other bases
ternary (3) 21000120222
quaternary (4) 201233210
quinary (5) 13410322
senary (6) 2543512
septenary (7) 1113644
nonary (9) 230528
undecimal (11) 94928
duodecimal (12) 67b98
tridecimal (13) 4aba9
tetradecimal (14) 38524
pentadecimal (15) 2ae42

As an angle

138,212° = 383 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλησιβʹ
Mayan (base 20)
𝋱·𝋥·𝋪·𝋬
Chinese
一十三萬八千二百一十二
Chinese (financial)
壹拾參萬捌仟貳佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٨٢١٢ Devanagari १३८२१२ Bengali ১৩৮২১২ Tamil ௧௩௮௨௧௨ Thai ๑๓๘๒๑๒ Tibetan ༡༣༨༢༡༢ Khmer ១៣៨២១២ Lao ໑໓໘໒໑໒ Burmese ၁၃၈၂၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138212, here are decompositions:

  • 3 + 138209 = 138212
  • 31 + 138181 = 138212
  • 73 + 138139 = 138212
  • 229 + 137983 = 138212
  • 271 + 137941 = 138212
  • 409 + 137803 = 138212
  • 421 + 137791 = 138212
  • 499 + 137713 = 138212

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯤
CJK Unified Ideograph-21Be4
U+21BE4
Other letter (Lo)

UTF-8 encoding: F0 A1 AF A4 (4 bytes).

Hex color
#021BE4
RGB(2, 27, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.228.

Address
0.2.27.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.228

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 138,212 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.