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137,941

137,941 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.).

137,941 (one hundred thirty-seven thousand nine hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AD5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
149,731
Recamán's sequence
a(492,945) = 137,941
Square (n²)
19,027,719,481
Cube (n³)
2,624,702,652,928,621
Divisor count
2
σ(n) — sum of divisors
137,942
φ(n) — Euler's totient
137,940

Primality

137,941 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137941
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,941)
1 × 137941
First multiples
137,941 · 275,882 (double) · 413,823 · 551,764 · 689,705 · 827,646 · 965,587 · 1,103,528 · 1,241,469 · 1,379,410

Sums & aliquot sequence

As a sum of two squares: 135² + 346²
As consecutive integers: 68,970 + 68,971

Continued fraction of √n

√137,941 = [371; (2, 2, 9, 2, 1, 2, 12, 148, 2, 12, 1, 1, 6, 1, 61, 29, 1, 2, 3, 2, 3, 3, 1, 5, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred forty-one
Ordinal
137941st
Binary
100001101011010101
Octal
415325
Hexadecimal
0x21AD5
Base64
AhrV
One's complement
4,294,829,354 (32-bit)
Scientific notation
1.37941 × 10⁵
As a duration
137,941 s = 1 day, 14 hours, 19 minutes, 1 second
In other bases
ternary (3) 21000012221
quaternary (4) 201223111
quinary (5) 13403231
senary (6) 2542341
septenary (7) 1113106
nonary (9) 230187
undecimal (11) 94701
duodecimal (12) 679b1
tridecimal (13) 4aa2b
tetradecimal (14) 383ad
pentadecimal (15) 2ad11

As an angle

137,941° = 383 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζϡμαʹ
Mayan (base 20)
𝋱·𝋤·𝋱·𝋡
Chinese
一十三萬七千九百四十一
Chinese (financial)
壹拾參萬柒仟玖佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٧٩٤١ Devanagari १३७९४१ Bengali ১৩৭৯৪১ Tamil ௧௩௭௯௪௧ Thai ๑๓๗๙๔๑ Tibetan ༡༣༧༩༤༡ Khmer ១៣៧៩៤១ Lao ໑໓໗໙໔໑ Burmese ၁၃၇၉၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137947.

Unicode codepoint
𡫕
CJK Unified Ideograph-21Ad5
U+21AD5
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 95 (4 bytes).

Hex color
#021AD5
RGB(2, 26, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.213.

Address
0.2.26.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.213

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 137,941 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 137941 first appears in π at position 63,763 of the decimal expansion (the 63,763ordinal-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.