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138,046

138,046 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.).

138,046 (one hundred thirty-eight thousand forty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 23 × 3,001. Written other ways, in hexadecimal, 0x21B3E.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
640,831
Recamán's sequence
a(492,735) = 138,046
Square (n²)
19,056,698,116
Cube (n³)
2,630,700,948,121,336
Divisor count
8
σ(n) — sum of divisors
216,144
φ(n) — Euler's totient
66,000
Sum of prime factors
3,026

Primality

Prime factorization: 2 × 23 × 3001

Nearest primes: 138,041 (−5) · 138,053 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 23 · 46 · 3001 · 6002 · 69023 (half) · 138046
Aliquot sum (sum of proper divisors): 78,098
Factor pairs (a × b = 138,046)
1 × 138046
2 × 69023
23 × 6002
46 × 3001
First multiples
138,046 · 276,092 (double) · 414,138 · 552,184 · 690,230 · 828,276 · 966,322 · 1,104,368 · 1,242,414 · 1,380,460

Sums & aliquot sequence

As consecutive integers: 34,510 + 34,511 + 34,512 + 34,513 5,991 + 5,992 + … + 6,013 1,455 + 1,456 + … + 1,546
Aliquot sequence: 138,046 78,098 45,994 32,126 16,066 8,954 6,208 6,238 3,122 2,254 1,850 1,684 1,270 1,034 694 350 394 — unresolved within range

Continued fraction of √n

√138,046 = [371; (1, 1, 5, 247, 1, 1, 16, 82, 1, 1, 49, 27, 1, 1, 148, 9, 5, 1, 48, 1, 2, 2, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand forty-six
Ordinal
138046th
Binary
100001101100111110
Octal
415476
Hexadecimal
0x21B3E
Base64
Ahs+
One's complement
4,294,829,249 (32-bit)
Scientific notation
1.38046 × 10⁵
As a duration
138,046 s = 1 day, 14 hours, 20 minutes, 46 seconds
In other bases
ternary (3) 21000100211
quaternary (4) 201230332
quinary (5) 13404141
senary (6) 2543034
septenary (7) 1113316
nonary (9) 230324
undecimal (11) 94797
duodecimal (12) 67a7a
tridecimal (13) 4aaac
tetradecimal (14) 38446
pentadecimal (15) 2ad81

As an angle

138,046° = 383 × 360° + 166°
166° ≈ 2.897 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλημϛʹ
Mayan (base 20)
𝋱·𝋥·𝋢·𝋦
Chinese
一十三萬八千零四十六
Chinese (financial)
壹拾參萬捌仟零肆拾陸
In other modern scripts
Eastern Arabic ١٣٨٠٤٦ Devanagari १३८०४६ Bengali ১৩৮০৪৬ Tamil ௧௩௮௦௪௬ Thai ๑๓๘๐๔๖ Tibetan ༡༣༨༠༤༦ Khmer ១៣៨០៤៦ Lao ໑໓໘໐໔໖ Burmese ၁၃၈၀၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138046, here are decompositions:

  • 5 + 138041 = 138046
  • 47 + 137999 = 138046
  • 53 + 137993 = 138046
  • 89 + 137957 = 138046
  • 113 + 137933 = 138046
  • 137 + 137909 = 138046
  • 173 + 137873 = 138046
  • 179 + 137867 = 138046

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬾
CJK Unified Ideograph-21B3E
U+21B3E
Other letter (Lo)

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

Hex color
#021B3E
RGB(2, 27, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.62.

Address
0.2.27.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.62

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 138,046 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 138046 first appears in π at position 831,706 of the decimal expansion (the 831,706ordinal-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