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138,338

138,338 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.).

138,338 (one hundred thirty-eight thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2 × 263². Written other ways, in hexadecimal, 0x21C62.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,728
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
833,831
Recamán's sequence
a(492,151) = 138,338
Square (n²)
19,137,402,244
Cube (n³)
2,647,429,951,630,472
Divisor count
6
σ(n) — sum of divisors
208,299
φ(n) — Euler's totient
68,906
Sum of prime factors
528

Primality

Prime factorization: 2 × 263 2

Nearest primes: 138,337 (−1) · 138,349 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 263 · 526 · 69169 (half) · 138338
Aliquot sum (sum of proper divisors): 69,961
Factor pairs (a × b = 138,338)
1 × 138338
2 × 69169
263 × 526
First multiples
138,338 · 276,676 (double) · 415,014 · 553,352 · 691,690 · 830,028 · 968,366 · 1,106,704 · 1,245,042 · 1,383,380

Sums & aliquot sequence

As a sum of two squares: 263² + 263²
As consecutive integers: 34,583 + 34,584 + 34,585 + 34,586 395 + 396 + … + 657
Aliquot sequence: 138,338 69,961 1,671 561 303 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√138,338 = [371; (1, 15, 5, 1, 3, 1, 6, 1, 7, 23, 1, 6, 1, 1, 1, 2, 1, 1, 5, 1, 2, 21, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand three hundred thirty-eight
Ordinal
138338th
Binary
100001110001100010
Octal
416142
Hexadecimal
0x21C62
Base64
Ahxi
One's complement
4,294,828,957 (32-bit)
Scientific notation
1.38338 × 10⁵
As a duration
138,338 s = 1 day, 14 hours, 25 minutes, 38 seconds
In other bases
ternary (3) 21000202122
quaternary (4) 201301202
quinary (5) 13411323
senary (6) 2544242
septenary (7) 1114214
nonary (9) 230678
undecimal (11) 94a32
duodecimal (12) 68082
tridecimal (13) 4ac75
tetradecimal (14) 385b4
pentadecimal (15) 2aec8

As an angle

138,338° = 384 × 360° + 98°
98° ≈ 1.71 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητληʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋲
Chinese
一十三萬八千三百三十八
Chinese (financial)
壹拾參萬捌仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣٨٣٣٨ Devanagari १३८३३८ Bengali ১৩৮৩৩৮ Tamil ௧௩௮௩௩௮ Thai ๑๓๘๓๓๘ Tibetan ༡༣༨༣༣༨ Khmer ១៣៨៣៣៨ Lao ໑໓໘໓໓໘ Burmese ၁၃၈၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138338, here are decompositions:

  • 19 + 138319 = 138338
  • 97 + 138241 = 138338
  • 157 + 138181 = 138338
  • 181 + 138157 = 138338
  • 199 + 138139 = 138338
  • 331 + 138007 = 138338
  • 397 + 137941 = 138338
  • 547 + 137791 = 138338

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱢
CJK Unified Ideograph-21C62
U+21C62
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 A2 (4 bytes).

Hex color
#021C62
RGB(2, 28, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.98.

Address
0.2.28.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.98

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 138,338 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138338 first appears in π at position 268,179 of the decimal expansion (the 268,179ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.