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138,388

138,388 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.).

138,388 (one hundred thirty-eight thousand three hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 1,193. Written other ways, in hexadecimal, 0x21C94.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
4,608
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
883,831
Recamán's sequence
a(492,051) = 138,388
Square (n²)
19,151,238,544
Cube (n³)
2,650,301,599,627,072
Divisor count
12
σ(n) — sum of divisors
250,740
φ(n) — Euler's totient
66,752
Sum of prime factors
1,226

Primality

Prime factorization: 2 2 × 29 × 1193

Nearest primes: 138,373 (−15) · 138,389 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 1193 · 2386 · 4772 · 34597 · 69194 (half) · 138388
Aliquot sum (sum of proper divisors): 112,352
Factor pairs (a × b = 138,388)
1 × 138388
2 × 69194
4 × 34597
29 × 4772
58 × 2386
116 × 1193
First multiples
138,388 · 276,776 (double) · 415,164 · 553,552 · 691,940 · 830,328 · 968,716 · 1,107,104 · 1,245,492 · 1,383,880

Sums & aliquot sequence

As a sum of two squares: 2² + 372² = 258² + 268²
As consecutive integers: 17,295 + 17,296 + … + 17,302 4,758 + 4,759 + … + 4,786 481 + 482 + … + 712
Aliquot sequence: 138,388 112,352 108,904 95,306 47,656 61,784 54,076 49,244 43,660 52,100 61,174 32,066 16,036 13,644 20,936 18,334 9,746 — unresolved within range

Continued fraction of √n

√138,388 = [372; (186, 744)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred eighty-eight
Ordinal
138388th
Binary
100001110010010100
Octal
416224
Hexadecimal
0x21C94
Base64
AhyU
One's complement
4,294,828,907 (32-bit)
Scientific notation
1.38388 × 10⁵
As a duration
138,388 s = 1 day, 14 hours, 26 minutes, 28 seconds
In other bases
ternary (3) 21000211111
quaternary (4) 201302110
quinary (5) 13412023
senary (6) 2544404
septenary (7) 1114315
nonary (9) 230744
undecimal (11) 94a78
duodecimal (12) 68104
tridecimal (13) 4acb3
tetradecimal (14) 3860c
pentadecimal (15) 2b00d

As an angle

138,388° = 384 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητπηʹ
Mayan (base 20)
𝋱·𝋥·𝋳·𝋨
Chinese
一十三萬八千三百八十八
Chinese (financial)
壹拾參萬捌仟參佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٨٣٨٨ Devanagari १३८३८८ Bengali ১৩৮৩৮৮ Tamil ௧௩௮௩௮௮ Thai ๑๓๘๓๘๘ Tibetan ༡༣༨༣༨༨ Khmer ១៣៨៣៨៨ Lao ໑໓໘໓໘໘ Burmese ၁၃၈၃၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138388, here are decompositions:

  • 17 + 138371 = 138388
  • 137 + 138251 = 138388
  • 149 + 138239 = 138388
  • 179 + 138209 = 138388
  • 191 + 138197 = 138388
  • 197 + 138191 = 138388
  • 281 + 138107 = 138388
  • 311 + 138077 = 138388

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲔
CJK Unified Ideograph-21C94
U+21C94
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 94 (4 bytes).

Hex color
#021C94
RGB(2, 28, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.148.

Address
0.2.28.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.148

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 138,388 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