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138,241

138,241 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.).

138,241 (one hundred thirty-eight thousand two hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C01.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
192
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
142,831
Recamán's sequence
a(492,345) = 138,241
Square (n²)
19,110,574,081
Cube (n³)
2,641,864,871,531,521
Divisor count
2
σ(n) — sum of divisors
138,242
φ(n) — Euler's totient
138,240

Primality

138,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138241
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,241)
1 × 138241
First multiples
138,241 · 276,482 (double) · 414,723 · 552,964 · 691,205 · 829,446 · 967,687 · 1,105,928 · 1,244,169 · 1,382,410

Sums & aliquot sequence

As a sum of two squares: 225² + 296²
As consecutive integers: 69,120 + 69,121

Continued fraction of √n

√138,241 = [371; (1, 4, 4, 1, 26, 1, 2, 1, 3, 15, 4, 2, 3, 1, 3, 10, 4, 1, 3, 1, 6, 1, 6, 1, …)]

Representations

In words
one hundred thirty-eight thousand two hundred forty-one
Ordinal
138241st
Binary
100001110000000001
Octal
416001
Hexadecimal
0x21C01
Base64
AhwB
One's complement
4,294,829,054 (32-bit)
Scientific notation
1.38241 × 10⁵
As a duration
138,241 s = 1 day, 14 hours, 24 minutes, 1 second
In other bases
ternary (3) 21000122001
quaternary (4) 201300001
quinary (5) 13410431
senary (6) 2544001
septenary (7) 1114015
nonary (9) 230561
undecimal (11) 94954
duodecimal (12) 68001
tridecimal (13) 4abcc
tetradecimal (14) 38545
pentadecimal (15) 2ae61

As an angle

138,241° = 384 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλησμαʹ
Mayan (base 20)
𝋱·𝋥·𝋬·𝋡
Chinese
一十三萬八千二百四十一
Chinese (financial)
壹拾參萬捌仟貳佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٨٢٤١ Devanagari १३८२४१ Bengali ১৩৮২৪১ Tamil ௧௩௮௨௪௧ Thai ๑๓๘๒๔๑ Tibetan ༡༣༨༢༤༡ Khmer ១៣៨២៤១ Lao ໑໓໘໒໔໑ Burmese ၁၃၈၂၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 138239, sexy with 138247.

Unicode codepoint
𡰁
CJK Unified Ideograph-21C01
U+21C01
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 81 (4 bytes).

Hex color
#021C01
RGB(2, 28, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.1.

Address
0.2.28.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.1

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 138,241 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.