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137,623

137,623 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.).

137,623 (one hundred thirty-seven thousand six hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21997.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
326,731
Recamán's sequence
a(493,581) = 137,623
Square (n²)
18,940,090,129
Cube (n³)
2,606,592,023,823,367
Divisor count
2
σ(n) — sum of divisors
137,624
φ(n) — Euler's totient
137,622

Primality

137,623 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137623
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,623)
1 × 137623
First multiples
137,623 · 275,246 (double) · 412,869 · 550,492 · 688,115 · 825,738 · 963,361 · 1,100,984 · 1,238,607 · 1,376,230

Sums & aliquot sequence

As consecutive integers: 68,811 + 68,812

Continued fraction of √n

√137,623 = [370; (1, 40, 4, 1, 1, 8, 1, 1, 1, 1, 8, 43, 1, 1, 8, 2, 3, 3, 1, 9, 2, 1, 1, 12, …)]

Representations

In words
one hundred thirty-seven thousand six hundred twenty-three
Ordinal
137623rd
Binary
100001100110010111
Octal
414627
Hexadecimal
0x21997
Base64
AhmX
One's complement
4,294,829,672 (32-bit)
Scientific notation
1.37623 × 10⁵
As a duration
137,623 s = 1 day, 14 hours, 13 minutes, 43 seconds
In other bases
ternary (3) 20222210011
quaternary (4) 201212113
quinary (5) 13400443
senary (6) 2541051
septenary (7) 1112143
nonary (9) 228704
undecimal (11) 94442
duodecimal (12) 67787
tridecimal (13) 4a845
tetradecimal (14) 38223
pentadecimal (15) 2ab9d

As an angle

137,623° = 382 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχκγʹ
Mayan (base 20)
𝋱·𝋤·𝋡·𝋣
Chinese
一十三萬七千六百二十三
Chinese (financial)
壹拾參萬柒仟陸佰貳拾參
In other modern scripts
Eastern Arabic ١٣٧٦٢٣ Devanagari १३७६२३ Bengali ১৩৭৬২৩ Tamil ௧௩௭௬௨௩ Thai ๑๓๗๖๒๓ Tibetan ༡༣༧༦༢༣ Khmer ១៣៧៦២៣ Lao ໑໓໗໖໒໓ Burmese ၁၃၇၆၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡦗
CJK Unified Ideograph-21997
U+21997
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 97 (4 bytes).

Hex color
#021997
RGB(2, 25, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.151.

Address
0.2.25.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.151

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 137,623 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 137623 first appears in π at position 915,479 of the decimal expansion (the 915,479ordinal-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.