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137,927

137,927 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.).

137,927 (one hundred thirty-seven thousand nine hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AC7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Safe Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
729,731
Recamán's sequence
a(492,973) = 137,927
Square (n²)
19,023,857,329
Cube (n³)
2,623,903,569,816,983
Divisor count
2
σ(n) — sum of divisors
137,928
φ(n) — Euler's totient
137,926

Primality

137,927 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137927
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,927)
1 × 137927
First multiples
137,927 · 275,854 (double) · 413,781 · 551,708 · 689,635 · 827,562 · 965,489 · 1,103,416 · 1,241,343 · 1,379,270

Sums & aliquot sequence

As consecutive integers: 68,963 + 68,964

Continued fraction of √n

√137,927 = [371; (2, 1, 1, 2, 9, 57, 33, 1, 2, 1, 11, 4, 3, 4, 2, 2, 1, 2, 1, 5, 2, 2, 4, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred twenty-seven
Ordinal
137927th
Binary
100001101011000111
Octal
415307
Hexadecimal
0x21AC7
Base64
AhrH
One's complement
4,294,829,368 (32-bit)
Scientific notation
1.37927 × 10⁵
As a duration
137,927 s = 1 day, 14 hours, 18 minutes, 47 seconds
In other bases
ternary (3) 21000012102
quaternary (4) 201223013
quinary (5) 13403202
senary (6) 2542315
septenary (7) 1113056
nonary (9) 230172
undecimal (11) 94699
duodecimal (12) 6799b
tridecimal (13) 4aa1a
tetradecimal (14) 3839d
pentadecimal (15) 2ad02

As an angle

137,927° = 383 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡκζʹ
Mayan (base 20)
𝋱·𝋤·𝋰·𝋧
Chinese
一十三萬七千九百二十七
Chinese (financial)
壹拾參萬柒仟玖佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٧٩٢٧ Devanagari १३७९२७ Bengali ১৩৭৯২৭ Tamil ௧௩௭௯௨௭ Thai ๑๓๗๙๒๗ Tibetan ༡༣༧༩༢༧ Khmer ១៣៧៩២៧ Lao ໑໓໗໙໒໗ Burmese ၁၃၇၉၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137933.

Unicode codepoint
𡫇
CJK Unified Ideograph-21Ac7
U+21AC7
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 87 (4 bytes).

Hex color
#021AC7
RGB(2, 26, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.199.

Address
0.2.26.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.199

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 137,927 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 137927 first appears in π at position 420,659 of the decimal expansion (the 420,659ordinal-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.