number.wiki
Live analysis

135,007

135,007 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.).

135,007 (one hundred thirty-five thousand seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20F5F.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
700,531
Square (n²)
18,226,890,049
Cube (n³)
2,460,757,744,845,343
Divisor count
2
σ(n) — sum of divisors
135,008
φ(n) — Euler's totient
135,006

Primality

135,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,007)
1 × 135007
First multiples
135,007 · 270,014 (double) · 405,021 · 540,028 · 675,035 · 810,042 · 945,049 · 1,080,056 · 1,215,063 · 1,350,070

Sums & aliquot sequence

As consecutive integers: 67,503 + 67,504

Continued fraction of √n

√135,007 = [367; (2, 3, 4, 2, 1, 40, 7, 2, 1, 1, 23, 9, 33, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand seven
Ordinal
135007th
Binary
100000111101011111
Octal
407537
Hexadecimal
0x20F5F
Base64
Ag9f
One's complement
4,294,832,288 (32-bit)
Scientific notation
1.35007 × 10⁵
As a duration
135,007 s = 1 day, 13 hours, 30 minutes, 7 seconds
In other bases
ternary (3) 20212012021
quaternary (4) 200331133
quinary (5) 13310012
senary (6) 2521011
septenary (7) 1101415
nonary (9) 225167
undecimal (11) 92484
duodecimal (12) 66167
tridecimal (13) 495b2
tetradecimal (14) 372b5
pentadecimal (15) 2a007

As an angle

135,007° = 375 × 360° + 7°
7° ≈ 0.122 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεζʹ
Mayan (base 20)
𝋰·𝋱·𝋪·𝋧
Chinese
一十三萬五千零七
Chinese (financial)
壹拾參萬伍仟零柒
In other modern scripts
Eastern Arabic ١٣٥٠٠٧ Devanagari १३५००७ Bengali ১৩৫০০৭ Tamil ௧௩௫௦௦௭ Thai ๑๓๕๐๐๗ Tibetan ༡༣༥༠༠༧ Khmer ១៣៥០០៧ Lao ໑໓໕໐໐໗ Burmese ၁၃၅၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠽟
CJK Unified Ideograph-20F5F
U+20F5F
Other letter (Lo)

UTF-8 encoding: F0 A0 BD 9F (4 bytes).

Hex color
#020F5F
RGB(2, 15, 95)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.95.

Address
0.2.15.95
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.95

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 135,007 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 135007 first appears in π at position 389,279 of the decimal expansion (the 389,279ordinal-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.