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138,428

138,428 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.).

138,428 (one hundred thirty-eight thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,607. Written other ways, in hexadecimal, 0x21CBC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,536
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
824,831
Recamán's sequence
a(491,971) = 138,428
Square (n²)
19,162,311,184
Cube (n³)
2,652,600,412,578,752
Divisor count
6
σ(n) — sum of divisors
242,256
φ(n) — Euler's totient
69,212
Sum of prime factors
34,611

Primality

Prime factorization: 2 2 × 34607

Nearest primes: 138,427 (−1) · 138,433 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34607 · 69214 (half) · 138428
Aliquot sum (sum of proper divisors): 103,828
Factor pairs (a × b = 138,428)
1 × 138428
2 × 69214
4 × 34607
First multiples
138,428 · 276,856 (double) · 415,284 · 553,712 · 692,140 · 830,568 · 968,996 · 1,107,424 · 1,245,852 · 1,384,280

Sums & aliquot sequence

As consecutive integers: 17,300 + 17,301 + … + 17,307
Aliquot sequence: 138,428 103,828 80,384 81,250 82,802 47,998 25,010 21,862 12,914 8,254 4,130 4,510 4,562 2,284 1,720 2,240 3,856 — unresolved within range

Continued fraction of √n

√138,428 = [372; (16, 1, 10, 6, 17, 7, 10, 2, 1, 19, 2, 3, 3, 2, 4, 1, 3, 2, 1, 13, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred twenty-eight
Ordinal
138428th
Binary
100001110010111100
Octal
416274
Hexadecimal
0x21CBC
Base64
Ahy8
One's complement
4,294,828,867 (32-bit)
Scientific notation
1.38428 × 10⁵
As a duration
138,428 s = 1 day, 14 hours, 27 minutes, 8 seconds
In other bases
ternary (3) 21000212222
quaternary (4) 201302330
quinary (5) 13412203
senary (6) 2544512
septenary (7) 1114403
nonary (9) 230788
undecimal (11) 95004
duodecimal (12) 68138
tridecimal (13) 4b014
tetradecimal (14) 3863a
pentadecimal (15) 2b038

As an angle

138,428° = 384 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυκηʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋨
Chinese
一十三萬八千四百二十八
Chinese (financial)
壹拾參萬捌仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨٤٢٨ Devanagari १३८४२८ Bengali ১৩৮৪২৮ Tamil ௧௩௮௪௨௮ Thai ๑๓๘๔๒๘ Tibetan ༡༣༨༤༢༨ Khmer ១៣៨៤២៨ Lao ໑໓໘໔໒໘ Burmese ၁၃၈၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138428, here are decompositions:

  • 79 + 138349 = 138428
  • 109 + 138319 = 138428
  • 139 + 138289 = 138428
  • 181 + 138247 = 138428
  • 271 + 138157 = 138428
  • 349 + 138079 = 138428
  • 421 + 138007 = 138428
  • 487 + 137941 = 138428

Showing the first eight; more decompositions exist.

Unicode codepoint
𡲼
CJK Unified Ideograph-21Cbc
U+21CBC
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 BC (4 bytes).

Hex color
#021CBC
RGB(2, 28, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.188.

Address
0.2.28.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.188

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 138,428 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.