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138,542

138,542 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.).

138,542 (one hundred thirty-eight thousand five hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 53 × 1,307. Written other ways, in hexadecimal, 0x21D2E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
245,831
Recamán's sequence
a(491,743) = 138,542
Square (n²)
19,193,885,764
Cube (n³)
2,659,159,321,516,088
Divisor count
8
σ(n) — sum of divisors
211,896
φ(n) — Euler's totient
67,912
Sum of prime factors
1,362

Primality

Prime factorization: 2 × 53 × 1307

Nearest primes: 138,517 (−25) · 138,547 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 53 · 106 · 1307 · 2614 · 69271 (half) · 138542
Aliquot sum (sum of proper divisors): 73,354
Factor pairs (a × b = 138,542)
1 × 138542
2 × 69271
53 × 2614
106 × 1307
First multiples
138,542 · 277,084 (double) · 415,626 · 554,168 · 692,710 · 831,252 · 969,794 · 1,108,336 · 1,246,878 · 1,385,420

Sums & aliquot sequence

As consecutive integers: 34,634 + 34,635 + 34,636 + 34,637 2,588 + 2,589 + … + 2,640 548 + 549 + … + 759
Aliquot sequence: 138,542 73,354 36,680 58,360 73,040 114,448 117,680 156,112 174,224 163,366 121,862 81,418 40,712 46,648 61,352 53,698 26,852 — unresolved within range

Continued fraction of √n

√138,542 = [372; (4, 1, 2, 2, 4, 1, 1, 2, 1, 43, 14, 43, 1, 2, 1, 1, 4, 2, 2, 1, 4, 744)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred forty-two
Ordinal
138542nd
Binary
100001110100101110
Octal
416456
Hexadecimal
0x21D2E
Base64
Ah0u
One's complement
4,294,828,753 (32-bit)
Scientific notation
1.38542 × 10⁵
As a duration
138,542 s = 1 day, 14 hours, 29 minutes, 2 seconds
In other bases
ternary (3) 21001001012
quaternary (4) 201310232
quinary (5) 13413132
senary (6) 2545222
septenary (7) 1114625
nonary (9) 231035
undecimal (11) 950a8
duodecimal (12) 68212
tridecimal (13) 4b0a1
tetradecimal (14) 386bc
pentadecimal (15) 2b0b2
Palindromic in base 15

As an angle

138,542° = 384 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφμβʹ
Mayan (base 20)
𝋱·𝋦·𝋧·𝋢
Chinese
一十三萬八千五百四十二
Chinese (financial)
壹拾參萬捌仟伍佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٤٢ Devanagari १३८५४२ Bengali ১৩৮৫৪২ Tamil ௧௩௮௫௪௨ Thai ๑๓๘๕๔๒ Tibetan ༡༣༨༥༤༢ Khmer ១៣៨៥៤២ Lao ໑໓໘໕໔໒ Burmese ၁၃၈၅၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138542, here are decompositions:

  • 31 + 138511 = 138542
  • 73 + 138469 = 138542
  • 109 + 138433 = 138542
  • 139 + 138403 = 138542
  • 193 + 138349 = 138542
  • 223 + 138319 = 138542
  • 379 + 138163 = 138542
  • 463 + 138079 = 138542

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴮
CJK Unified Ideograph-21D2E
U+21D2E
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 AE (4 bytes).

Hex color
#021D2E
RGB(2, 29, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.46.

Address
0.2.29.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.46

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 138,542 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

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