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138,242

138,242 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.).

138,242 (one hundred thirty-eight thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 13² × 409. Written other ways, in hexadecimal, 0x21C02.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
242,831
Recamán's sequence
a(492,343) = 138,242
Square (n²)
19,110,850,564
Cube (n³)
2,641,922,203,668,488
Divisor count
12
σ(n) — sum of divisors
225,090
φ(n) — Euler's totient
63,648
Sum of prime factors
437

Primality

Prime factorization: 2 × 13 2 × 409

Nearest primes: 138,241 (−1) · 138,247 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 13 · 26 · 169 · 338 · 409 · 818 · 5317 · 10634 · 69121 (half) · 138242
Aliquot sum (sum of proper divisors): 86,848
Factor pairs (a × b = 138,242)
1 × 138242
2 × 69121
13 × 10634
26 × 5317
169 × 818
338 × 409
First multiples
138,242 · 276,484 (double) · 414,726 · 552,968 · 691,210 · 829,452 · 967,694 · 1,105,936 · 1,244,178 · 1,382,420

Sums & aliquot sequence

As a sum of two squares: 89² + 361² = 191² + 319² = 221² + 299²
As consecutive integers: 34,559 + 34,560 + 34,561 + 34,562 10,628 + 10,629 + … + 10,640 2,633 + 2,634 + … + 2,684 734 + 735 + … + 902
Aliquot sequence: 138,242 86,848 96,032 93,094 48,386 29,818 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 1,594 — unresolved within range

Continued fraction of √n

√138,242 = [371; (1, 4, 4, 4, 1, 742)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred forty-two
Ordinal
138242nd
Binary
100001110000000010
Octal
416002
Hexadecimal
0x21C02
Base64
AhwC
One's complement
4,294,829,053 (32-bit)
Scientific notation
1.38242 × 10⁵
As a duration
138,242 s = 1 day, 14 hours, 24 minutes, 2 seconds
In other bases
ternary (3) 21000122002
quaternary (4) 201300002
quinary (5) 13410432
senary (6) 2544002
septenary (7) 1114016
nonary (9) 230562
undecimal (11) 94955
duodecimal (12) 68002
tridecimal (13) 4ac00
tetradecimal (14) 38546
pentadecimal (15) 2ae62

As an angle

138,242° = 384 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλησμβʹ
Mayan (base 20)
𝋱·𝋥·𝋬·𝋢
Chinese
一十三萬八千二百四十二
Chinese (financial)
壹拾參萬捌仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٨٢٤٢ Devanagari १३८२४२ Bengali ১৩৮২৪২ Tamil ௧௩௮௨௪௨ Thai ๑๓๘๒๔๒ Tibetan ༡༣༨༢༤༢ Khmer ១៣៨២៤២ Lao ໑໓໘໒໔໒ Burmese ၁၃၈၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138242, here are decompositions:

  • 3 + 138239 = 138242
  • 61 + 138181 = 138242
  • 79 + 138163 = 138242
  • 103 + 138139 = 138242
  • 163 + 138079 = 138242
  • 331 + 137911 = 138242
  • 373 + 137869 = 138242
  • 439 + 137803 = 138242

Showing the first eight; more decompositions exist.

Unicode codepoint
𡰂
CJK Unified Ideograph-21C02
U+21C02
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 82 (4 bytes).

Hex color
#021C02
RGB(2, 28, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.2.

Address
0.2.28.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.2

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 138,242 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 138242 first appears in π at position 288,669 of the decimal expansion (the 288,669ordinal-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.