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138,041

138,041 is a prime, 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.).

138,041 (one hundred thirty-eight thousand forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B39.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
140,831
Recamán's sequence
a(492,745) = 138,041
Square (n²)
19,055,317,681
Cube (n³)
2,630,415,108,002,921
Divisor count
2
σ(n) — sum of divisors
138,042
φ(n) — Euler's totient
138,040

Primality

138,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,041)
1 × 138041
First multiples
138,041 · 276,082 (double) · 414,123 · 552,164 · 690,205 · 828,246 · 966,287 · 1,104,328 · 1,242,369 · 1,380,410

Sums & aliquot sequence

As a sum of two squares: 20² + 371²
As consecutive integers: 69,020 + 69,021

Continued fraction of √n

√138,041 = [371; (1, 1, 5, 1, 24, 1, 3, 2, 20, 1, 3, 1, 2, 4, 3, 1, 7, 17, 6, 1, 1, 2, 1, 3, …)]

Representations

In words
one hundred thirty-eight thousand forty-one
Ordinal
138041st
Binary
100001101100111001
Octal
415471
Hexadecimal
0x21B39
Base64
Ahs5
One's complement
4,294,829,254 (32-bit)
Scientific notation
1.38041 × 10⁵
As a duration
138,041 s = 1 day, 14 hours, 20 minutes, 41 seconds
In other bases
ternary (3) 21000100122
quaternary (4) 201230321
quinary (5) 13404131
senary (6) 2543025
septenary (7) 1113311
nonary (9) 230318
undecimal (11) 94792
duodecimal (12) 67a75
tridecimal (13) 4aaa7
tetradecimal (14) 38441
pentadecimal (15) 2ad7b

As an angle

138,041° = 383 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλημαʹ
Mayan (base 20)
𝋱·𝋥·𝋢·𝋡
Chinese
一十三萬八千零四十一
Chinese (financial)
壹拾參萬捌仟零肆拾壹
In other modern scripts
Eastern Arabic ١٣٨٠٤١ Devanagari १३८०४१ Bengali ১৩৮০৪১ Tamil ௧௩௮௦௪௧ Thai ๑๓๘๐๔๑ Tibetan ༡༣༨༠༤༡ Khmer ១៣៨០៤១ Lao ໑໓໘໐໔໑ Burmese ၁၃၈၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡬹
CJK Unified Ideograph-21B39
U+21B39
Other letter (Lo)

UTF-8 encoding: F0 A1 AC B9 (4 bytes).

Hex color
#021B39
RGB(2, 27, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.57.

Address
0.2.27.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.57

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 138,041 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.