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138,289

138,289 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.).

138,289 (one hundred thirty-eight thousand two hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C31.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,456
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
982,831
Recamán's sequence
a(492,249) = 138,289
Square (n²)
19,123,847,521
Cube (n³)
2,644,617,749,831,569
Divisor count
2
σ(n) — sum of divisors
138,290
φ(n) — Euler's totient
138,288

Primality

138,289 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138289
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,289)
1 × 138289
First multiples
138,289 · 276,578 (double) · 414,867 · 553,156 · 691,445 · 829,734 · 968,023 · 1,106,312 · 1,244,601 · 1,382,890

Sums & aliquot sequence

As a sum of two squares: 60² + 367²
As consecutive integers: 69,144 + 69,145

Continued fraction of √n

√138,289 = [371; (1, 6, 1, 4, 1, 8, 7, 1, 1, 1, 2, 1, 2, 1, 9, 5, 2, 2, 5, 1, 3, 1, 3, 2, …)]

Representations

In words
one hundred thirty-eight thousand two hundred eighty-nine
Ordinal
138289th
Binary
100001110000110001
Octal
416061
Hexadecimal
0x21C31
Base64
Ahwx
One's complement
4,294,829,006 (32-bit)
Scientific notation
1.38289 × 10⁵
As a duration
138,289 s = 1 day, 14 hours, 24 minutes, 49 seconds
In other bases
ternary (3) 21000200211
quaternary (4) 201300301
quinary (5) 13411124
senary (6) 2544121
septenary (7) 1114114
nonary (9) 230624
undecimal (11) 94998
duodecimal (12) 68041
tridecimal (13) 4ac38
tetradecimal (14) 3857b
pentadecimal (15) 2ae94

As an angle

138,289° = 384 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλησπθʹ
Mayan (base 20)
𝋱·𝋥·𝋮·𝋩
Chinese
一十三萬八千二百八十九
Chinese (financial)
壹拾參萬捌仟貳佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٨٢٨٩ Devanagari १३८२८९ Bengali ১৩৮২৮৯ Tamil ௧௩௮௨௮௯ Thai ๑๓๘๒๘๙ Tibetan ༡༣༨༢༨༩ Khmer ១៣៨២៨៩ Lao ໑໓໘໒໘໙ Burmese ၁၃၈၂၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138283.

Unicode codepoint
𡰱
CJK Unified Ideograph-21C31
U+21C31
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 B1 (4 bytes).

Hex color
#021C31
RGB(2, 28, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.49.

Address
0.2.28.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.49

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 138,289 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 138289 first appears in π at position 46,137 of the decimal expansion (the 46,137ordinal-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.