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138,047

138,047 is a composite number, odd.

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.).

138,047 (one hundred thirty-eight thousand forty-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 7 × 13 × 37 × 41. Written other ways, in hexadecimal, 0x21B3F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
740,831
Recamán's sequence
a(492,733) = 138,047
Square (n²)
19,056,974,209
Cube (n³)
2,630,758,118,629,823
Divisor count
16
σ(n) — sum of divisors
178,752
φ(n) — Euler's totient
103,680
Sum of prime factors
98

Primality

Prime factorization: 7 × 13 × 37 × 41

Nearest primes: 138,041 (−6) · 138,053 (+6)

Divisors & multiples

All divisors (16)
1 · 7 · 13 · 37 · 41 · 91 · 259 · 287 · 481 · 533 · 1517 · 3367 · 3731 · 10619 · 19721 · 138047
Aliquot sum (sum of proper divisors): 40,705
Factor pairs (a × b = 138,047)
1 × 138047
7 × 19721
13 × 10619
37 × 3731
41 × 3367
91 × 1517
259 × 533
287 × 481
First multiples
138,047 · 276,094 (double) · 414,141 · 552,188 · 690,235 · 828,282 · 966,329 · 1,104,376 · 1,242,423 · 1,380,470

Sums & aliquot sequence

As consecutive integers: 69,023 + 69,024 19,718 + 19,719 + … + 19,724 10,613 + 10,614 + … + 10,625 9,854 + 9,855 + … + 9,867
Aliquot sequence: 138,047 40,705 15,167 553 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√138,047 = [371; (1, 1, 4, 1, 5, 2, 11, 1, 1, 9, 1, 1, 11, 2, 5, 1, 4, 1, 1, 742)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand forty-seven
Ordinal
138047th
Binary
100001101100111111
Octal
415477
Hexadecimal
0x21B3F
Base64
Ahs/
One's complement
4,294,829,248 (32-bit)
Scientific notation
1.38047 × 10⁵
As a duration
138,047 s = 1 day, 14 hours, 20 minutes, 47 seconds
In other bases
ternary (3) 21000100212
quaternary (4) 201230333
quinary (5) 13404142
senary (6) 2543035
septenary (7) 1113320
nonary (9) 230325
undecimal (11) 94798
duodecimal (12) 67a7b
tridecimal (13) 4aab0
tetradecimal (14) 38447
pentadecimal (15) 2ad82

As an angle

138,047° = 383 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλημζʹ
Mayan (base 20)
𝋱·𝋥·𝋢·𝋧
Chinese
一十三萬八千零四十七
Chinese (financial)
壹拾參萬捌仟零肆拾柒
In other modern scripts
Eastern Arabic ١٣٨٠٤٧ Devanagari १३८०४७ Bengali ১৩৮০৪৭ Tamil ௧௩௮௦௪௭ Thai ๑๓๘๐๔๗ Tibetan ༡༣༨༠༤༧ Khmer ១៣៨០៤៧ Lao ໑໓໘໐໔໗ Burmese ၁၃၈၀၄၇

Also seen as

Unicode codepoint
𡬿
CJK Unified Ideograph-21B3F
U+21B3F
Other letter (Lo)

UTF-8 encoding: F0 A1 AC BF (4 bytes).

Hex color
#021B3F
RGB(2, 27, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.63.

Address
0.2.27.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.63

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 138,047 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.