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138,004

138,004 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.).

138,004 (one hundred thirty-eight thousand four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,501. Written other ways, in hexadecimal, 0x21B14.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
400,831
Recamán's sequence
a(492,819) = 138,004
Square (n²)
19,045,104,016
Cube (n³)
2,628,300,534,624,064
Divisor count
6
σ(n) — sum of divisors
241,514
φ(n) — Euler's totient
69,000
Sum of prime factors
34,505

Primality

Prime factorization: 2 2 × 34501

Nearest primes: 137,999 (−5) · 138,007 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34501 · 69002 (half) · 138004
Aliquot sum (sum of proper divisors): 103,510
Factor pairs (a × b = 138,004)
1 × 138004
2 × 69002
4 × 34501
First multiples
138,004 · 276,008 (double) · 414,012 · 552,016 · 690,020 · 828,024 · 966,028 · 1,104,032 · 1,242,036 · 1,380,040

Sums & aliquot sequence

As a sum of two squares: 130² + 348²
As consecutive integers: 17,247 + 17,248 + … + 17,254
Aliquot sequence: 138,004 103,510 99,962 51,430 44,330 52,438 27,194 13,600 21,554 13,306 6,656 7,666 3,836 3,892 3,948 6,804 13,580 — unresolved within range

Continued fraction of √n

√138,004 = [371; (2, 22, 67, 2, 247, 6, 7, 2, 1, 21, 1, 4, 1, 81, 1, 2, 1, 1, 2, 2, 8, 1, 6, 1, …)]

Representations

In words
one hundred thirty-eight thousand four
Ordinal
138004th
Binary
100001101100010100
Octal
415424
Hexadecimal
0x21B14
Base64
AhsU
One's complement
4,294,829,291 (32-bit)
Scientific notation
1.38004 × 10⁵
As a duration
138,004 s = 1 day, 14 hours, 20 minutes, 4 seconds
In other bases
ternary (3) 21000022021
quaternary (4) 201230110
quinary (5) 13404004
senary (6) 2542524
septenary (7) 1113226
nonary (9) 230267
undecimal (11) 94759
duodecimal (12) 67a44
tridecimal (13) 4aa79
tetradecimal (14) 38416
pentadecimal (15) 2ad54

As an angle

138,004° = 383 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληδʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋤
Chinese
一十三萬八千零四
Chinese (financial)
壹拾參萬捌仟零肆
In other modern scripts
Eastern Arabic ١٣٨٠٠٤ Devanagari १३८००४ Bengali ১৩৮০০৪ Tamil ௧௩௮௦௦௪ Thai ๑๓๘๐๐๔ Tibetan ༡༣༨༠༠༤ Khmer ១៣៨០០៤ Lao ໑໓໘໐໐໔ Burmese ၁၃၈၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138004, here are decompositions:

  • 5 + 137999 = 138004
  • 11 + 137993 = 138004
  • 47 + 137957 = 138004
  • 71 + 137933 = 138004
  • 131 + 137873 = 138004
  • 137 + 137867 = 138004
  • 173 + 137831 = 138004
  • 227 + 137777 = 138004

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬔
CJK Unified Ideograph-21B14
U+21B14
Other letter (Lo)

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

Hex color
#021B14
RGB(2, 27, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.20.

Address
0.2.27.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.20

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 138,004 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 138004 first appears in π at position 820,848 of the decimal expansion (the 820,848ordinal-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