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138,497

138,497 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.).

138,497 (one hundred thirty-eight thousand four 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, 0x21D01.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,048
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
794,831
Recamán's sequence
a(491,833) = 138,497
Square (n²)
19,181,419,009
Cube (n³)
2,656,568,988,489,473
Divisor count
2
σ(n) — sum of divisors
138,498
φ(n) — Euler's totient
138,496

Primality

138,497 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138497
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,497)
1 × 138497
First multiples
138,497 · 276,994 (double) · 415,491 · 553,988 · 692,485 · 830,982 · 969,479 · 1,107,976 · 1,246,473 · 1,384,970

Sums & aliquot sequence

As a sum of two squares: 244² + 281²
As consecutive integers: 69,248 + 69,249

Continued fraction of √n

√138,497 = [372; (6, 1, 1, 2, 2, 2, 1, 11, 2, 43, 3, 3, 2, 1, 45, 1, 4, 1, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred ninety-seven
Ordinal
138497th
Binary
100001110100000001
Octal
416401
Hexadecimal
0x21D01
Base64
Ah0B
One's complement
4,294,828,798 (32-bit)
Scientific notation
1.38497 × 10⁵
As a duration
138,497 s = 1 day, 14 hours, 28 minutes, 17 seconds
In other bases
ternary (3) 21000222112
quaternary (4) 201310001
quinary (5) 13412442
senary (6) 2545105
septenary (7) 1114532
nonary (9) 230875
undecimal (11) 95067
duodecimal (12) 68195
tridecimal (13) 4b068
tetradecimal (14) 38689
pentadecimal (15) 2b082

As an angle

138,497° = 384 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυϟζʹ
Mayan (base 20)
𝋱·𝋦·𝋤·𝋱
Chinese
一十三萬八千四百九十七
Chinese (financial)
壹拾參萬捌仟肆佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٨٤٩٧ Devanagari १३८४९७ Bengali ১৩৮৪৯৭ Tamil ௧௩௮௪௯௭ Thai ๑๓๘๔๙๗ Tibetan ༡༣༨༤༩༧ Khmer ១៣៨៤៩៧ Lao ໑໓໘໔໙໗ Burmese ၁၃၈၄၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138493.

Unicode codepoint
𡴁
CJK Unified Ideograph-21D01
U+21D01
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 81 (4 bytes).

Hex color
#021D01
RGB(2, 29, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.1.

Address
0.2.29.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.1

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 138,497 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 138497 first appears in π at position 354,876 of the decimal expansion (the 354,876ordinal-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.