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139,397

139,397 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.).

139,397 (one hundred thirty-nine thousand three 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, 0x22085.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Happy Number Left-Truncatable Prime Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,103
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
793,931
Recamán's sequence
a(490,033) = 139,397
Square (n²)
19,431,523,609
Cube (n³)
2,708,696,096,523,773
Divisor count
2
σ(n) — sum of divisors
139,398
φ(n) — Euler's totient
139,396

Primality

139,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,397)
1 × 139397
First multiples
139,397 · 278,794 (double) · 418,191 · 557,588 · 696,985 · 836,382 · 975,779 · 1,115,176 · 1,254,573 · 1,393,970

Sums & aliquot sequence

As a sum of two squares: 194² + 319²
As consecutive integers: 69,698 + 69,699

Continued fraction of √n

√139,397 = [373; (2, 1, 3, 1, 1, 1, 5, 1, 3, 1, 9, 1, 2, 1, 1, 1, 1, 2, 11, 1, 6, 16, 1, 4, …)]

Representations

In words
one hundred thirty-nine thousand three hundred ninety-seven
Ordinal
139397th
Binary
100010000010000101
Octal
420205
Hexadecimal
0x22085
Base64
AiCF
One's complement
4,294,827,898 (32-bit)
Scientific notation
1.39397 × 10⁵
As a duration
139,397 s = 1 day, 14 hours, 43 minutes, 17 seconds
In other bases
ternary (3) 21002012212
quaternary (4) 202002011
quinary (5) 13430042
senary (6) 2553205
septenary (7) 1120256
nonary (9) 232185
undecimal (11) 95805
duodecimal (12) 68805
tridecimal (13) 4b5ab
tetradecimal (14) 38b2d
pentadecimal (15) 2b482

As an angle

139,397° = 387 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθτϟζʹ
Mayan (base 20)
𝋱·𝋨·𝋩·𝋱
Chinese
一十三萬九千三百九十七
Chinese (financial)
壹拾參萬玖仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٩٣٩٧ Devanagari १३९३९७ Bengali ১৩৯৩৯৭ Tamil ௧௩௯௩௯௭ Thai ๑๓๙๓๙๗ Tibetan ༡༣༩༣༩༧ Khmer ១៣៩៣៩៧ Lao ໑໓໙໓໙໗ Burmese ၁၃၉၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 139393.

Unicode codepoint
𢂅
CJK Unified Ideograph-22085
U+22085
Other letter (Lo)

UTF-8 encoding: F0 A2 82 85 (4 bytes).

Hex color
#022085
RGB(2, 32, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.133.

Address
0.2.32.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.133

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 139,397 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.