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138,346

138,346 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.).

138,346 (one hundred thirty-eight thousand three hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 313. Written other ways, in hexadecimal, 0x21C6A.

Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,728
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
643,831
Recamán's sequence
a(492,135) = 138,346
Square (n²)
19,139,615,716
Cube (n³)
2,647,889,275,845,736
Divisor count
16
σ(n) — sum of divisors
237,384
φ(n) — Euler's totient
59,904
Sum of prime factors
345

Primality

Prime factorization: 2 × 13 × 17 × 313

Nearest primes: 138,337 (−9) · 138,349 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 17 · 26 · 34 · 221 · 313 · 442 · 626 · 4069 · 5321 · 8138 · 10642 · 69173 (half) · 138346
Aliquot sum (sum of proper divisors): 99,038
Factor pairs (a × b = 138,346)
1 × 138346
2 × 69173
13 × 10642
17 × 8138
26 × 5321
34 × 4069
221 × 626
313 × 442
First multiples
138,346 · 276,692 (double) · 415,038 · 553,384 · 691,730 · 830,076 · 968,422 · 1,106,768 · 1,245,114 · 1,383,460

Sums & aliquot sequence

As a sum of two squares: 111² + 355² = 139² + 345² = 239² + 285² = 261² + 265²
As consecutive integers: 34,585 + 34,586 + 34,587 + 34,588 10,636 + 10,637 + … + 10,648 8,130 + 8,131 + … + 8,146 2,635 + 2,636 + … + 2,686
Aliquot sequence: 138,346 99,038 56,050 55,550 58,282 46,550 59,470 53,570 51,838 25,922 15,994 10,214 5,110 5,546 3,094 2,954 2,134 — unresolved within range

Continued fraction of √n

√138,346 = [371; (1, 18, 1, 1, 2, 1, 2, 1, 1, 2, 3, 1, 81, 1, 7, 1, 1, 3, 2, 29, 3, 6, 1, 8, …)]

Representations

In words
one hundred thirty-eight thousand three hundred forty-six
Ordinal
138346th
Binary
100001110001101010
Octal
416152
Hexadecimal
0x21C6A
Base64
Ahxq
One's complement
4,294,828,949 (32-bit)
Scientific notation
1.38346 × 10⁵
As a duration
138,346 s = 1 day, 14 hours, 25 minutes, 46 seconds
In other bases
ternary (3) 21000202221
quaternary (4) 201301222
quinary (5) 13411341
senary (6) 2544254
septenary (7) 1114225
nonary (9) 230687
undecimal (11) 94a3a
duodecimal (12) 6808a
tridecimal (13) 4ac80
tetradecimal (14) 385bc
pentadecimal (15) 2aed1

As an angle

138,346° = 384 × 360° + 106°
106° ≈ 1.85 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητμϛʹ
Mayan (base 20)
𝋱·𝋥·𝋱·𝋦
Chinese
一十三萬八千三百四十六
Chinese (financial)
壹拾參萬捌仟參佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٨٣٤٦ Devanagari १३८३४६ Bengali ১৩৮৩৪৬ Tamil ௧௩௮௩௪௬ Thai ๑๓๘๓๔๖ Tibetan ༡༣༨༣༤༦ Khmer ១៣៨៣៤៦ Lao ໑໓໘໓໔໖ Burmese ၁၃၈၃၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138346, here are decompositions:

  • 23 + 138323 = 138346
  • 107 + 138239 = 138346
  • 137 + 138209 = 138346
  • 149 + 138197 = 138346
  • 167 + 138179 = 138346
  • 233 + 138113 = 138346
  • 239 + 138107 = 138346
  • 269 + 138077 = 138346

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱪
CJK Unified Ideograph-21C6A
U+21C6A
Other letter (Lo)

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

Hex color
#021C6A
RGB(2, 28, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.106.

Address
0.2.28.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.106

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 138,346 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 138346 first appears in π at position 654,713 of the decimal expansion (the 654,713ordinal-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