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137,803

137,803 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.).

137,803 (one hundred thirty-seven thousand eight hundred three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21A4B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
308,731
Recamán's sequence
a(493,221) = 137,803
Square (n²)
18,989,666,809
Cube (n³)
2,616,833,055,280,627
Divisor count
2
σ(n) — sum of divisors
137,804
φ(n) — Euler's totient
137,802

Primality

137,803 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137803
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,803)
1 × 137803
First multiples
137,803 · 275,606 (double) · 413,409 · 551,212 · 689,015 · 826,818 · 964,621 · 1,102,424 · 1,240,227 · 1,378,030

Sums & aliquot sequence

As consecutive integers: 68,901 + 68,902

Continued fraction of √n

√137,803 = [371; (4, 1, 1, 2, 1, 1, 3, 2, 2, 3, 1, 2, 4, 11, 1, 2, 1, 13, 247, 2, 2, 6, 5, 1, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred three
Ordinal
137803rd
Binary
100001101001001011
Octal
415113
Hexadecimal
0x21A4B
Base64
AhpL
One's complement
4,294,829,492 (32-bit)
Scientific notation
1.37803 × 10⁵
As a duration
137,803 s = 1 day, 14 hours, 16 minutes, 43 seconds
In other bases
ternary (3) 21000000211
quaternary (4) 201221023
quinary (5) 13402203
senary (6) 2541551
septenary (7) 1112521
nonary (9) 230024
undecimal (11) 94596
duodecimal (12) 678b7
tridecimal (13) 4a953
tetradecimal (14) 38311
pentadecimal (15) 2ac6d

As an angle

137,803° = 382 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωγʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋣
Chinese
一十三萬七千八百零三
Chinese (financial)
壹拾參萬柒仟捌佰零參
In other modern scripts
Eastern Arabic ١٣٧٨٠٣ Devanagari १३७८०३ Bengali ১৩৭৮০৩ Tamil ௧௩௭௮௦௩ Thai ๑๓๗๘๐๓ Tibetan ༡༣༧༨༠༣ Khmer ១៣៧៨០៣ Lao ໑໓໗໘໐໓ Burmese ၁၃၇၈၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡩋
CJK Unified Ideograph-21A4B
U+21A4B
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 8B (4 bytes).

Hex color
#021A4B
RGB(2, 26, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.75.

Address
0.2.26.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.75

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 137,803 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 137803 first appears in π at position 554,549 of the decimal expansion (the 554,549ordinal-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.