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139,801

139,801 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.).

139,801 (one hundred thirty-nine thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22219.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
108,931
Recamán's sequence
a(489,225) = 139,801
Square (n²)
19,544,319,601
Cube (n³)
2,732,315,424,539,401
Divisor count
2
σ(n) — sum of divisors
139,802
φ(n) — Euler's totient
139,800

Primality

139,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,801)
1 × 139801
First multiples
139,801 · 279,602 (double) · 419,403 · 559,204 · 699,005 · 838,806 · 978,607 · 1,118,408 · 1,258,209 · 1,398,010

Sums & aliquot sequence

As a sum of two squares: 101² + 360²
As consecutive integers: 69,900 + 69,901

Continued fraction of √n

√139,801 = [373; (1, 8, 1, 34, 1, 2, 2, 3, 1, 5, 2, 5, 2, 1, 1, 1, 1, 1, 1, 2, 18, 1, 3, 1, …)]

Representations

In words
one hundred thirty-nine thousand eight hundred one
Ordinal
139801st
Binary
100010001000011001
Octal
421031
Hexadecimal
0x22219
Base64
AiIZ
One's complement
4,294,827,494 (32-bit)
Scientific notation
1.39801 × 10⁵
As a duration
139,801 s = 1 day, 14 hours, 50 minutes, 1 second
In other bases
ternary (3) 21002202211
quaternary (4) 202020121
quinary (5) 13433201
senary (6) 2555121
septenary (7) 1121404
nonary (9) 232684
undecimal (11) 96042
duodecimal (12) 68aa1
tridecimal (13) 4b82c
tetradecimal (14) 38d3b
pentadecimal (15) 2b651

As an angle

139,801° = 388 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλθωαʹ
Mayan (base 20)
𝋱·𝋩·𝋪·𝋡
Chinese
一十三萬九千八百零一
Chinese (financial)
壹拾參萬玖仟捌佰零壹
In other modern scripts
Eastern Arabic ١٣٩٨٠١ Devanagari १३९८०१ Bengali ১৩৯৮০১ Tamil ௧௩௯௮௦௧ Thai ๑๓๙๘๐๑ Tibetan ༡༣༩༨༠༡ Khmer ១៣៩៨០១ Lao ໑໓໙໘໐໑ Burmese ၁၃၉၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢈙
CJK Unified Ideograph-22219
U+22219
Other letter (Lo)

UTF-8 encoding: F0 A2 88 99 (4 bytes).

Hex color
#022219
RGB(2, 34, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.25.

Address
0.2.34.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.25

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 139,801 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 139801 first appears in π at position 148,785 of the decimal expansion (the 148,785ordinal-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.