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139,729

139,729 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.).

139,729 (one hundred thirty-nine thousand seven hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x221D1.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,402
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
927,931
Recamán's sequence
a(489,369) = 139,729
Square (n²)
19,524,193,441
Cube (n³)
2,728,096,025,317,489
Divisor count
2
σ(n) — sum of divisors
139,730
φ(n) — Euler's totient
139,728

Primality

139,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,729)
1 × 139729
First multiples
139,729 · 279,458 (double) · 419,187 · 558,916 · 698,645 · 838,374 · 978,103 · 1,117,832 · 1,257,561 · 1,397,290

Sums & aliquot sequence

As a sum of two squares: 223² + 300²
As consecutive integers: 69,864 + 69,865

Continued fraction of √n

√139,729 = [373; (1, 4, 11, 2, 12, 1, 6, 1, 3, 1, 1, 2, 1, 3, 1, 1, 4, 4, 1, 14, 1, 3, 3, 2, …)]

Representations

In words
one hundred thirty-nine thousand seven hundred twenty-nine
Ordinal
139729th
Binary
100010000111010001
Octal
420721
Hexadecimal
0x221D1
Base64
AiHR
One's complement
4,294,827,566 (32-bit)
Scientific notation
1.39729 × 10⁵
As a duration
139,729 s = 1 day, 14 hours, 48 minutes, 49 seconds
In other bases
ternary (3) 21002200011
quaternary (4) 202013101
quinary (5) 13432404
senary (6) 2554521
septenary (7) 1121242
nonary (9) 232604
undecimal (11) 95a87
duodecimal (12) 68a41
tridecimal (13) 4b7a5
tetradecimal (14) 38cc9
pentadecimal (15) 2b604

As an angle

139,729° = 388 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθψκθʹ
Mayan (base 20)
𝋱·𝋩·𝋦·𝋩
Chinese
一十三萬九千七百二十九
Chinese (financial)
壹拾參萬玖仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٩٧٢٩ Devanagari १३९७२९ Bengali ১৩৯৭২৯ Tamil ௧௩௯௭௨௯ Thai ๑๓๙๗๒๙ Tibetan ༡༣༩༧༢༩ Khmer ១៣៩៧២៩ Lao ໑໓໙໗໒໙ Burmese ၁၃၉၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢇑
CJK Unified Ideograph-221D1
U+221D1
Other letter (Lo)

UTF-8 encoding: F0 A2 87 91 (4 bytes).

Hex color
#0221D1
RGB(2, 33, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.209.

Address
0.2.33.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.209

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 139,729 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 139729 first appears in π at position 177,379 of the decimal expansion (the 177,379ordinal-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.