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137,239

137,239 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.).

137,239 (one hundred thirty-seven thousand two hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21817.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,134
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
932,731
Square (n²)
18,834,543,121
Cube (n³)
2,584,833,863,382,919
Divisor count
2
σ(n) — sum of divisors
137,240
φ(n) — Euler's totient
137,238

Primality

137,239 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137239
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,239)
1 × 137239
First multiples
137,239 · 274,478 (double) · 411,717 · 548,956 · 686,195 · 823,434 · 960,673 · 1,097,912 · 1,235,151 · 1,372,390

Sums & aliquot sequence

As consecutive integers: 68,619 + 68,620

Continued fraction of √n

√137,239 = [370; (2, 5, 2, 2, 1, 21, 1, 2, 1, 6, 3, 4, 3, 1, 9, 1, 4, 1, 1, 2, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand two hundred thirty-nine
Ordinal
137239th
Binary
100001100000010111
Octal
414027
Hexadecimal
0x21817
Base64
AhgX
One's complement
4,294,830,056 (32-bit)
Scientific notation
1.37239 × 10⁵
As a duration
137,239 s = 1 day, 14 hours, 7 minutes, 19 seconds
In other bases
ternary (3) 20222020221
quaternary (4) 201200113
quinary (5) 13342424
senary (6) 2535211
septenary (7) 1111054
nonary (9) 228227
undecimal (11) 94123
duodecimal (12) 67507
tridecimal (13) 4a60b
tetradecimal (14) 3802b
pentadecimal (15) 2a9e4

As an angle

137,239° = 381 × 360° + 79°
79° ≈ 1.379 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσλθʹ
Mayan (base 20)
𝋱·𝋣·𝋡·𝋳
Chinese
一十三萬七千二百三十九
Chinese (financial)
壹拾參萬柒仟貳佰參拾玖
In other modern scripts
Eastern Arabic ١٣٧٢٣٩ Devanagari १३७२३९ Bengali ১৩৭২৩৯ Tamil ௧௩௭௨௩௯ Thai ๑๓๗๒๓๙ Tibetan ༡༣༧༢༣༩ Khmer ១៣៧២៣៩ Lao ໑໓໗໒໓໙ Burmese ၁၃၇၂၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡠗
CJK Unified Ideograph-21817
U+21817
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 97 (4 bytes).

Hex color
#021817
RGB(2, 24, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.23.

Address
0.2.24.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.23

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 137,239 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 137239 first appears in π at position 805,563 of the decimal expansion (the 805,563ordinal-suffix:rd 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.