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138,438

138,438 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.).

138,438 (one hundred thirty-eight thousand four hundred thirty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 7,691. Its proper divisors sum to 161,550, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CC6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
834,831
Recamán's sequence
a(491,951) = 138,438
Square (n²)
19,165,079,844
Cube (n³)
2,653,175,323,443,672
Divisor count
12
σ(n) — sum of divisors
299,988
φ(n) — Euler's totient
46,140
Sum of prime factors
7,699

Primality

Prime factorization: 2 × 3 2 × 7691

Nearest primes: 138,433 (−5) · 138,449 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 7691 · 15382 · 23073 · 46146 · 69219 (half) · 138438
Aliquot sum (sum of proper divisors): 161,550
Factor pairs (a × b = 138,438)
1 × 138438
2 × 69219
3 × 46146
6 × 23073
9 × 15382
18 × 7691
First multiples
138,438 · 276,876 (double) · 415,314 · 553,752 · 692,190 · 830,628 · 969,066 · 1,107,504 · 1,245,942 · 1,384,380

Sums & aliquot sequence

As consecutive integers: 46,145 + 46,146 + 46,147 34,608 + 34,609 + 34,610 + 34,611 15,378 + 15,379 + … + 15,386 11,531 + 11,532 + … + 11,542
Aliquot sequence: 138,438 161,550 273,690 438,138 524,538 838,278 1,237,770 2,173,950 3,667,938 3,667,950 8,831,250 15,237,522 17,777,148 23,844,180 43,288,620 80,882,868 127,156,236 — unresolved within range

Continued fraction of √n

√138,438 = [372; (13, 1, 3, 1, 1, 8, 1, 1, 1, 2, 2, 2, 4, 1, 3, 1, 3, 1, 1, 27, 372, 27, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred thirty-eight
Ordinal
138438th
Binary
100001110011000110
Octal
416306
Hexadecimal
0x21CC6
Base64
AhzG
One's complement
4,294,828,857 (32-bit)
Scientific notation
1.38438 × 10⁵
As a duration
138,438 s = 1 day, 14 hours, 27 minutes, 18 seconds
In other bases
ternary (3) 21000220100
quaternary (4) 201303012
quinary (5) 13412223
senary (6) 2544530
septenary (7) 1114416
nonary (9) 230810
undecimal (11) 95013
duodecimal (12) 68146
tridecimal (13) 4b021
tetradecimal (14) 38646
pentadecimal (15) 2b043

As an angle

138,438° = 384 × 360° + 198°
198° ≈ 3.456 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυληʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋲
Chinese
一十三萬八千四百三十八
Chinese (financial)
壹拾參萬捌仟肆佰參拾捌
In other modern scripts
Eastern Arabic ١٣٨٤٣٨ Devanagari १३८४३८ Bengali ১৩৮৪৩৮ Tamil ௧௩௮௪௩௮ Thai ๑๓๘๔๓๘ Tibetan ༡༣༨༤༣༨ Khmer ១៣៨៤៣៨ Lao ໑໓໘໔໓໘ Burmese ၁၃၈၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138438, here are decompositions:

  • 5 + 138433 = 138438
  • 11 + 138427 = 138438
  • 31 + 138407 = 138438
  • 37 + 138401 = 138438
  • 67 + 138371 = 138438
  • 89 + 138349 = 138438
  • 101 + 138337 = 138438
  • 127 + 138311 = 138438

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳆
CJK Unified Ideograph-21Cc6
U+21CC6
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 86 (4 bytes).

Hex color
#021CC6
RGB(2, 28, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.198.

Address
0.2.28.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.198

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 138,438 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 138438 first appears in π at position 490,199 of the decimal expansion (the 490,199ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.