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138,841

138,841 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.).

138,841 (one hundred thirty-eight thousand eight 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, 0x21E59.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
768
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
148,831
Recamán's sequence
a(491,145) = 138,841
Square (n²)
19,276,823,281
Cube (n³)
2,676,413,421,157,321
Divisor count
2
σ(n) — sum of divisors
138,842
φ(n) — Euler's totient
138,840

Primality

138,841 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138841
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,841)
1 × 138841
First multiples
138,841 · 277,682 (double) · 416,523 · 555,364 · 694,205 · 833,046 · 971,887 · 1,110,728 · 1,249,569 · 1,388,410

Sums & aliquot sequence

As a sum of two squares: 221² + 300²
As consecutive integers: 69,420 + 69,421

Continued fraction of √n

√138,841 = [372; (1, 1, 1, 1, 2, 3, 4, 1, 1, 1, 3, 2, 8, 1, 3, 5, 1, 1, 1, 1, 2, 1, 148, 3, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred forty-one
Ordinal
138841st
Binary
100001111001011001
Octal
417131
Hexadecimal
0x21E59
Base64
Ah5Z
One's complement
4,294,828,454 (32-bit)
Scientific notation
1.38841 × 10⁵
As a duration
138,841 s = 1 day, 14 hours, 34 minutes, 1 second
In other bases
ternary (3) 21001110021
quaternary (4) 201321121
quinary (5) 13420331
senary (6) 2550441
septenary (7) 1115533
nonary (9) 231407
undecimal (11) 9534a
duodecimal (12) 68421
tridecimal (13) 4b271
tetradecimal (14) 38853
pentadecimal (15) 2b211

As an angle

138,841° = 385 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληωμαʹ
Mayan (base 20)
𝋱·𝋧·𝋢·𝋡
Chinese
一十三萬八千八百四十一
Chinese (financial)
壹拾參萬捌仟捌佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٨٨٤١ Devanagari १३८८४१ Bengali ১৩৮৮৪১ Tamil ௧௩௮௮௪௧ Thai ๑๓๘๘๔๑ Tibetan ༡༣༨༨༤༡ Khmer ១៣៨៨៤១ Lao ໑໓໘໘໔໑ Burmese ၁၃၈၈၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡹙
CJK Unified Ideograph-21E59
U+21E59
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 99 (4 bytes).

Hex color
#021E59
RGB(2, 30, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.89.

Address
0.2.30.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.89

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 138,841 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 138841 first appears in π at position 73,618 of the decimal expansion (the 73,618ordinal-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

  • 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.