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138,197

138,197 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.).

138,197 (one hundred thirty-eight thousand one hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21BD5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,512
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
791,831
Recamán's sequence
a(492,433) = 138,197
Square (n²)
19,098,410,809
Cube (n³)
2,639,343,078,571,373
Divisor count
2
σ(n) — sum of divisors
138,198
φ(n) — Euler's totient
138,196

Primality

138,197 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138197
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,197)
1 × 138197
First multiples
138,197 · 276,394 (double) · 414,591 · 552,788 · 690,985 · 829,182 · 967,379 · 1,105,576 · 1,243,773 · 1,381,970

Sums & aliquot sequence

As a sum of two squares: 199² + 314²
As consecutive integers: 69,098 + 69,099

Continued fraction of √n

√138,197 = [371; (1, 2, 1, 42, 1, 66, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 2, 5, 1, 3, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred ninety-seven
Ordinal
138197th
Binary
100001101111010101
Octal
415725
Hexadecimal
0x21BD5
Base64
AhvV
One's complement
4,294,829,098 (32-bit)
Scientific notation
1.38197 × 10⁵
As a duration
138,197 s = 1 day, 14 hours, 23 minutes, 17 seconds
In other bases
ternary (3) 21000120102
quaternary (4) 201233111
quinary (5) 13410242
senary (6) 2543445
septenary (7) 1113623
nonary (9) 230512
undecimal (11) 94914
duodecimal (12) 67b85
tridecimal (13) 4ab97
tetradecimal (14) 38513
pentadecimal (15) 2ae32

As an angle

138,197° = 383 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρϟζʹ
Mayan (base 20)
𝋱·𝋥·𝋩·𝋱
Chinese
一十三萬八千一百九十七
Chinese (financial)
壹拾參萬捌仟壹佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٨١٩٧ Devanagari १३८१९७ Bengali ১৩৮১৯৭ Tamil ௧௩௮௧௯௭ Thai ๑๓๘๑๙๗ Tibetan ༡༣༨༡༩༧ Khmer ១៣៨១៩៧ Lao ໑໓໘໑໙໗ Burmese ၁၃၈၁၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138191.

Unicode codepoint
𡯕
CJK Unified Ideograph-21Bd5
U+21BD5
Other letter (Lo)

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

Hex color
#021BD5
RGB(2, 27, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.213.

Address
0.2.27.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.213

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 138,197 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 138197 first appears in π at position 730,695 of the decimal expansion (the 730,695ordinal-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.