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137,659

137,659 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.).

137,659 (one hundred thirty-seven thousand six hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x219BB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
5,670
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
956,731
Recamán's sequence
a(493,509) = 137,659
Square (n²)
18,950,000,281
Cube (n³)
2,608,638,088,682,179
Divisor count
2
σ(n) — sum of divisors
137,660
φ(n) — Euler's totient
137,658

Primality

137,659 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137659
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,659)
1 × 137659
First multiples
137,659 · 275,318 (double) · 412,977 · 550,636 · 688,295 · 825,954 · 963,613 · 1,101,272 · 1,238,931 · 1,376,590

Sums & aliquot sequence

As consecutive integers: 68,829 + 68,830

Continued fraction of √n

√137,659 = [371; (41, 4, 2, 8, 1, 2, 1, 1, 9, 3, 8, 4, 1, 4, 1, 3, 2, 3, 2, 6, 3, 4, 3, 2, …)]

Representations

In words
one hundred thirty-seven thousand six hundred fifty-nine
Ordinal
137659th
Binary
100001100110111011
Octal
414673
Hexadecimal
0x219BB
Base64
Ahm7
One's complement
4,294,829,636 (32-bit)
Scientific notation
1.37659 × 10⁵
As a duration
137,659 s = 1 day, 14 hours, 14 minutes, 19 seconds
In other bases
ternary (3) 20222211111
quaternary (4) 201212323
quinary (5) 13401114
senary (6) 2541151
septenary (7) 1112224
nonary (9) 228744
undecimal (11) 94475
duodecimal (12) 677b7
tridecimal (13) 4a872
tetradecimal (14) 3824b
pentadecimal (15) 2abc4

As an angle

137,659° = 382 × 360° + 139°
139° ≈ 2.426 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχνθʹ
Mayan (base 20)
𝋱·𝋤·𝋢·𝋳
Chinese
一十三萬七千六百五十九
Chinese (financial)
壹拾參萬柒仟陸佰伍拾玖
In other modern scripts
Eastern Arabic ١٣٧٦٥٩ Devanagari १३७६५९ Bengali ১৩৭৬৫৯ Tamil ௧௩௭௬௫௯ Thai ๑๓๗๖๕๙ Tibetan ༡༣༧༦༥༩ Khmer ១៣៧៦៥៩ Lao ໑໓໗໖໕໙ Burmese ၁၃၇၆၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137653.

Unicode codepoint
𡦻
CJK Unified Ideograph-219Bb
U+219BB
Other letter (Lo)

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

Hex color
#0219BB
RGB(2, 25, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.187.

Address
0.2.25.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.187

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 137,659 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 137659 first appears in π at position 221,349 of the decimal expansion (the 221,349ordinal-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.