number.wiki
Live analysis

139,501

139,501 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.).

139,501 (one hundred thirty-nine thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x220ED.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
105,931
Recamán's sequence
a(489,825) = 139,501
Square (n²)
19,460,529,001
Cube (n³)
2,714,763,256,168,501
Divisor count
2
σ(n) — sum of divisors
139,502
φ(n) — Euler's totient
139,500

Primality

139,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,501)
1 × 139501
First multiples
139,501 · 279,002 (double) · 418,503 · 558,004 · 697,505 · 837,006 · 976,507 · 1,116,008 · 1,255,509 · 1,395,010

Sums & aliquot sequence

As a sum of two squares: 51² + 370²
As consecutive integers: 69,750 + 69,751

Continued fraction of √n

√139,501 = [373; (2, 148, 1, 8, 1, 28, 1, 48, 1, 4, 1, 248, 6, 49, 1, 1, 1, 2, 1, 1, 1, 9, 3, 16, …)]

Representations

In words
one hundred thirty-nine thousand five hundred one
Ordinal
139501st
Binary
100010000011101101
Octal
420355
Hexadecimal
0x220ED
Base64
AiDt
One's complement
4,294,827,794 (32-bit)
Scientific notation
1.39501 × 10⁵
As a duration
139,501 s = 1 day, 14 hours, 45 minutes, 1 second
In other bases
ternary (3) 21002100201
quaternary (4) 202003231
quinary (5) 13431001
senary (6) 2553501
septenary (7) 1120465
nonary (9) 232321
undecimal (11) 9589a
duodecimal (12) 68891
tridecimal (13) 4b65b
tetradecimal (14) 38ba5
pentadecimal (15) 2b501

As an angle

139,501° = 387 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλθφαʹ
Mayan (base 20)
𝋱·𝋨·𝋯·𝋡
Chinese
一十三萬九千五百零一
Chinese (financial)
壹拾參萬玖仟伍佰零壹
In other modern scripts
Eastern Arabic ١٣٩٥٠١ Devanagari १३९५०१ Bengali ১৩৯৫০১ Tamil ௧௩௯௫௦௧ Thai ๑๓๙๕๐๑ Tibetan ༡༣༩༥༠༡ Khmer ១៣៩៥០១ Lao ໑໓໙໕໐໑ Burmese ၁၃၉၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢃭
CJK Unified Ideograph-220Ed
U+220ED
Other letter (Lo)

UTF-8 encoding: F0 A2 83 AD (4 bytes).

Hex color
#0220ED
RGB(2, 32, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.237.

Address
0.2.32.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.237

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 139,501 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 139501 first appears in π at position 107,202 of the decimal expansion (the 107,202ordinal-suffix:nd 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.