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137,699

137,699 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.).

137,699 (one hundred thirty-seven thousand six hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x219E3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
10,206
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
996,731
Recamán's sequence
a(493,429) = 137,699
Square (n²)
18,961,014,601
Cube (n³)
2,610,912,749,543,099
Divisor count
2
σ(n) — sum of divisors
137,700
φ(n) — Euler's totient
137,698

Primality

137,699 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137699
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,699)
1 × 137699
First multiples
137,699 · 275,398 (double) · 413,097 · 550,796 · 688,495 · 826,194 · 963,893 · 1,101,592 · 1,239,291 · 1,376,990

Sums & aliquot sequence

As consecutive integers: 68,849 + 68,850

Continued fraction of √n

√137,699 = [371; (12, 1, 3, 1, 6, 2, 2, 4, 3, 2, 3, 52, 1, 2, 1, 1, 3, 11, 1, 7, 1, 4, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred ninety-nine
Ordinal
137699th
Binary
100001100111100011
Octal
414743
Hexadecimal
0x219E3
Base64
Ahnj
One's complement
4,294,829,596 (32-bit)
Scientific notation
1.37699 × 10⁵
As a duration
137,699 s = 1 day, 14 hours, 14 minutes, 59 seconds
In other bases
ternary (3) 20222212222
quaternary (4) 201213203
quinary (5) 13401244
senary (6) 2541255
septenary (7) 1112312
nonary (9) 228788
undecimal (11) 94501
duodecimal (12) 6782b
tridecimal (13) 4a8a3
tetradecimal (14) 38279
pentadecimal (15) 2abee

As an angle

137,699° = 382 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχϟθʹ
Mayan (base 20)
𝋱·𝋤·𝋤·𝋳
Chinese
一十三萬七千六百九十九
Chinese (financial)
壹拾參萬柒仟陸佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٧٦٩٩ Devanagari १३७६९९ Bengali ১৩৭৬৯৯ Tamil ௧௩௭௬௯௯ Thai ๑๓๗๖๙๙ Tibetan ༡༣༧༦༩༩ Khmer ១៣៧៦៩៩ Lao ໑໓໗໖໙໙ Burmese ၁၃၇၆၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡧣
CJK Unified Ideograph-219E3
U+219E3
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 A3 (4 bytes).

Hex color
#0219E3
RGB(2, 25, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.227.

Address
0.2.25.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.227

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 137,699 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.