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138,571

138,571 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.).

138,571 (one hundred thirty-eight thousand five hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21D4B.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
840
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
175,831
Recamán's sequence
a(491,685) = 138,571
Square (n²)
19,201,922,041
Cube (n³)
2,660,829,539,143,411
Divisor count
2
σ(n) — sum of divisors
138,572
φ(n) — Euler's totient
138,570

Primality

138,571 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138571
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,571)
1 × 138571
First multiples
138,571 · 277,142 (double) · 415,713 · 554,284 · 692,855 · 831,426 · 969,997 · 1,108,568 · 1,247,139 · 1,385,710

Sums & aliquot sequence

As consecutive integers: 69,285 + 69,286

Continued fraction of √n

√138,571 = [372; (3, 1, 48, 1, 7, 1, 1, 2, 1, 2, 1, 1, 2, 4, 1, 2, 1, 17, 2, 2, 1, 1, 1, 8, …)]

Representations

In words
one hundred thirty-eight thousand five hundred seventy-one
Ordinal
138571st
Binary
100001110101001011
Octal
416513
Hexadecimal
0x21D4B
Base64
Ah1L
One's complement
4,294,828,724 (32-bit)
Scientific notation
1.38571 × 10⁵
As a duration
138,571 s = 1 day, 14 hours, 29 minutes, 31 seconds
In other bases
ternary (3) 21001002021
quaternary (4) 201311023
quinary (5) 13413241
senary (6) 2545311
septenary (7) 1114666
nonary (9) 231067
undecimal (11) 95124
duodecimal (12) 68237
tridecimal (13) 4b0c4
tetradecimal (14) 386dd
pentadecimal (15) 2b0d1

As an angle

138,571° = 384 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληφοαʹ
Mayan (base 20)
𝋱·𝋦·𝋨·𝋫
Chinese
一十三萬八千五百七十一
Chinese (financial)
壹拾參萬捌仟伍佰柒拾壹
In other modern scripts
Eastern Arabic ١٣٨٥٧١ Devanagari १३८५७१ Bengali ১৩৮৫৭১ Tamil ௧௩௮௫௭௧ Thai ๑๓๘๕๗๑ Tibetan ༡༣༨༥༧༡ Khmer ១៣៨៥៧១ Lao ໑໓໘໕໗໑ Burmese ၁၃၈၅၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 138569, sexy with 138577.

Unicode codepoint
𡵋
CJK Unified Ideograph-21D4B
U+21D4B
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 8B (4 bytes).

Hex color
#021D4B
RGB(2, 29, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.75.

Address
0.2.29.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.75

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 138,571 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.