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137,723

137,723 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.).

137,723 (one hundred thirty-seven thousand seven 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, 0x219FB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
327,731
Recamán's sequence
a(493,381) = 137,723
Square (n²)
18,967,624,729
Cube (n³)
2,612,278,180,552,067
Divisor count
2
σ(n) — sum of divisors
137,724
φ(n) — Euler's totient
137,722

Primality

137,723 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137723
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,723)
1 × 137723
First multiples
137,723 · 275,446 (double) · 413,169 · 550,892 · 688,615 · 826,338 · 964,061 · 1,101,784 · 1,239,507 · 1,377,230

Sums & aliquot sequence

As consecutive integers: 68,861 + 68,862

Continued fraction of √n

√137,723 = [371; (9, 19, 1, 18, 1, 1, 2, 1, 1, 4, 8, 1, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 56, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred twenty-three
Ordinal
137723rd
Binary
100001100111111011
Octal
414773
Hexadecimal
0x219FB
Base64
Ahn7
One's complement
4,294,829,572 (32-bit)
Scientific notation
1.37723 × 10⁵
As a duration
137,723 s = 1 day, 14 hours, 15 minutes, 23 seconds
In other bases
ternary (3) 20222220212
quaternary (4) 201213323
quinary (5) 13401343
senary (6) 2541335
septenary (7) 1112345
nonary (9) 228825
undecimal (11) 94523
duodecimal (12) 6784b
tridecimal (13) 4a8c1
tetradecimal (14) 38295
pentadecimal (15) 2ac18

As an angle

137,723° = 382 × 360° + 203°
203° ≈ 3.543 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψκγʹ
Mayan (base 20)
𝋱·𝋤·𝋦·𝋣
Chinese
一十三萬七千七百二十三
Chinese (financial)
壹拾參萬柒仟柒佰貳拾參
In other modern scripts
Eastern Arabic ١٣٧٧٢٣ Devanagari १३७७२३ Bengali ১৩৭৭২৩ Tamil ௧௩௭௭௨௩ Thai ๑๓๗๗๒๓ Tibetan ༡༣༧༧༢༣ Khmer ១៣៧៧២៣ Lao ໑໓໗໗໒໓ Burmese ၁၃၇၇၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡧻
CJK Unified Ideograph-219Fb
U+219FB
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 BB (4 bytes).

Hex color
#0219FB
RGB(2, 25, 251)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.251.

Address
0.2.25.251
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.251

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 137,723 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 137723 first appears in π at position 256,228 of the decimal expansion (the 256,228ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.