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138,937

138,937 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.).

138,937 (one hundred thirty-eight thousand nine hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21EB9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
4,536
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
739,831
Recamán's sequence
a(490,953) = 138,937
Square (n²)
19,303,489,969
Cube (n³)
2,681,968,985,822,953
Divisor count
2
σ(n) — sum of divisors
138,938
φ(n) — Euler's totient
138,936

Primality

138,937 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138937
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,937)
1 × 138937
First multiples
138,937 · 277,874 (double) · 416,811 · 555,748 · 694,685 · 833,622 · 972,559 · 1,111,496 · 1,250,433 · 1,389,370

Sums & aliquot sequence

As a sum of two squares: 36² + 371²
As consecutive integers: 69,468 + 69,469

Continued fraction of √n

√138,937 = [372; (1, 2, 1, 7, 1, 1, 1, 2, 11, 2, 5, 4, 1, 2, 1, 1, 2, 12, 1, 12, 6, 1, 1, 12, …)]

Representations

In words
one hundred thirty-eight thousand nine hundred thirty-seven
Ordinal
138937th
Binary
100001111010111001
Octal
417271
Hexadecimal
0x21EB9
Base64
Ah65
One's complement
4,294,828,358 (32-bit)
Scientific notation
1.38937 × 10⁵
As a duration
138,937 s = 1 day, 14 hours, 35 minutes, 37 seconds
In other bases
ternary (3) 21001120211
quaternary (4) 201322321
quinary (5) 13421222
senary (6) 2551121
septenary (7) 1116031
nonary (9) 231524
undecimal (11) 95427
duodecimal (12) 684a1
tridecimal (13) 4b316
tetradecimal (14) 388c1
pentadecimal (15) 2b277

As an angle

138,937° = 385 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡλζʹ
Mayan (base 20)
𝋱·𝋧·𝋦·𝋱
Chinese
一十三萬八千九百三十七
Chinese (financial)
壹拾參萬捌仟玖佰參拾柒
In other modern scripts
Eastern Arabic ١٣٨٩٣٧ Devanagari १३८९३७ Bengali ১৩৮৯৩৭ Tamil ௧௩௮௯௩௭ Thai ๑๓๘๙๓๗ Tibetan ༡༣༨༩༣༧ Khmer ១៣៨៩៣៧ Lao ໑໓໘໙໓໗ Burmese ၁၃၈၉၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡺹
CJK Unified Ideograph-21Eb9
U+21EB9
Other letter (Lo)

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

Hex color
#021EB9
RGB(2, 30, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.185.

Address
0.2.30.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.185

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 138,937 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 138937 first appears in π at position 958,620 of the decimal expansion (the 958,620ordinal-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.