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138,364

138,364 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.).

138,364 (one hundred thirty-eight thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,591. Written other ways, in hexadecimal, 0x21C7C.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,728
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
463,831
Recamán's sequence
a(492,099) = 138,364
Square (n²)
19,144,596,496
Cube (n³)
2,648,922,949,572,544
Divisor count
6
σ(n) — sum of divisors
242,144
φ(n) — Euler's totient
69,180
Sum of prime factors
34,595

Primality

Prime factorization: 2 2 × 34591

Nearest primes: 138,349 (−15) · 138,371 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34591 · 69182 (half) · 138364
Aliquot sum (sum of proper divisors): 103,780
Factor pairs (a × b = 138,364)
1 × 138364
2 × 69182
4 × 34591
First multiples
138,364 · 276,728 (double) · 415,092 · 553,456 · 691,820 · 830,184 · 968,548 · 1,106,912 · 1,245,276 · 1,383,640

Sums & aliquot sequence

As consecutive integers: 17,292 + 17,293 + … + 17,299
Aliquot sequence: 138,364 103,780 114,200 151,780 167,000 226,120 282,740 322,732 242,056 218,744 203,056 268,144 251,416 263,024 277,120 386,900 480,232 — unresolved within range

Continued fraction of √n

√138,364 = [371; (1, 36, 5, 29, 1, 1, 3, 1, 2, 1, 7, 1, 4, 2, 2, 1, 105, 1, 1, 3, 5, 35, 4, 4, …)]

Representations

In words
one hundred thirty-eight thousand three hundred sixty-four
Ordinal
138364th
Binary
100001110001111100
Octal
416174
Hexadecimal
0x21C7C
Base64
Ahx8
One's complement
4,294,828,931 (32-bit)
Scientific notation
1.38364 × 10⁵
As a duration
138,364 s = 1 day, 14 hours, 26 minutes, 4 seconds
In other bases
ternary (3) 21000210121
quaternary (4) 201301330
quinary (5) 13411424
senary (6) 2544324
septenary (7) 1114252
nonary (9) 230717
undecimal (11) 94a56
duodecimal (12) 680a4
tridecimal (13) 4ac95
tetradecimal (14) 385d2
pentadecimal (15) 2aee4

As an angle

138,364° = 384 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητξδʹ
Mayan (base 20)
𝋱·𝋥·𝋲·𝋤
Chinese
一十三萬八千三百六十四
Chinese (financial)
壹拾參萬捌仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٨٣٦٤ Devanagari १३८३६४ Bengali ১৩৮৩৬৪ Tamil ௧௩௮௩௬௪ Thai ๑๓๘๓๖๔ Tibetan ༡༣༨༣༦༤ Khmer ១៣៨៣៦៤ Lao ໑໓໘໓໖໔ Burmese ၁၃၈၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138364, here are decompositions:

  • 41 + 138323 = 138364
  • 53 + 138311 = 138364
  • 113 + 138251 = 138364
  • 167 + 138197 = 138364
  • 173 + 138191 = 138364
  • 251 + 138113 = 138364
  • 257 + 138107 = 138364
  • 263 + 138101 = 138364

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱼
CJK Unified Ideograph-21C7C
U+21C7C
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 BC (4 bytes).

Hex color
#021C7C
RGB(2, 28, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.124.

Address
0.2.28.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.124

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 138,364 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