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138,461

138,461 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.).

138,461 (one hundred thirty-eight thousand four hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21CDD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
164,831
Recamán's sequence
a(491,905) = 138,461
Square (n²)
19,171,448,521
Cube (n³)
2,654,497,933,666,181
Divisor count
2
σ(n) — sum of divisors
138,462
φ(n) — Euler's totient
138,460

Primality

138,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138461
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,461)
1 × 138461
First multiples
138,461 · 276,922 (double) · 415,383 · 553,844 · 692,305 · 830,766 · 969,227 · 1,107,688 · 1,246,149 · 1,384,610

Sums & aliquot sequence

As a sum of two squares: 170² + 331²
As consecutive integers: 69,230 + 69,231

Continued fraction of √n

√138,461 = [372; (9, 1, 1, 1, 36, 1, 1, 4, 32, 7, 2, 2, 3, 4, 2, 4, 5, 1, 2, 1, 2, 4, 1, 19, …)]

Representations

In words
one hundred thirty-eight thousand four hundred sixty-one
Ordinal
138461st
Binary
100001110011011101
Octal
416335
Hexadecimal
0x21CDD
Base64
Ahzd
One's complement
4,294,828,834 (32-bit)
Scientific notation
1.38461 × 10⁵
As a duration
138,461 s = 1 day, 14 hours, 27 minutes, 41 seconds
In other bases
ternary (3) 21000221012
quaternary (4) 201303131
quinary (5) 13412321
senary (6) 2545005
septenary (7) 1114451
nonary (9) 230835
undecimal (11) 95034
duodecimal (12) 68165
tridecimal (13) 4b03b
tetradecimal (14) 38661
pentadecimal (15) 2b05b

As an angle

138,461° = 384 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληυξαʹ
Mayan (base 20)
𝋱·𝋦·𝋣·𝋡
Chinese
一十三萬八千四百六十一
Chinese (financial)
壹拾參萬捌仟肆佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٨٤٦١ Devanagari १३८४६१ Bengali ১৩৮৪৬১ Tamil ௧௩௮௪௬௧ Thai ๑๓๘๔๖๑ Tibetan ༡༣༨༤༦༡ Khmer ១៣៨៤៦១ Lao ໑໓໘໔໖໑ Burmese ၁၃၈၄၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡳝
CJK Unified Ideograph-21Cdd
U+21CDD
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 9D (4 bytes).

Hex color
#021CDD
RGB(2, 28, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.221.

Address
0.2.28.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.221

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 138,461 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.