number.wiki
Live analysis

134,401

134,401 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.).

134,401 (one hundred thirty-four thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20D01.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
104,431
Square (n²)
18,063,628,801
Cube (n³)
2,427,769,774,483,201
Divisor count
2
σ(n) — sum of divisors
134,402
φ(n) — Euler's totient
134,400

Primality

134,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,401)
1 × 134401
First multiples
134,401 · 268,802 (double) · 403,203 · 537,604 · 672,005 · 806,406 · 940,807 · 1,075,208 · 1,209,609 · 1,344,010

Sums & aliquot sequence

As a sum of two squares: 124² + 345²
As consecutive integers: 67,200 + 67,201

Continued fraction of √n

√134,401 = [366; (1, 1, 1, 1, 4, 1, 3, 1, 3, 1, 3, 5, 5, 1, 34, 13, 15, 1, 1, 10, 9, 14, 3, 1, …)]

Representations

In words
one hundred thirty-four thousand four hundred one
Ordinal
134401st
Binary
100000110100000001
Octal
406401
Hexadecimal
0x20D01
Base64
Ag0B
One's complement
4,294,832,894 (32-bit)
Scientific notation
1.34401 × 10⁵
As a duration
134,401 s = 1 day, 13 hours, 20 minutes, 1 second
In other bases
ternary (3) 20211100211
quaternary (4) 200310001
quinary (5) 13300101
senary (6) 2514121
septenary (7) 1066561
nonary (9) 224324
undecimal (11) 91a83
duodecimal (12) 65941
tridecimal (13) 49237
tetradecimal (14) 36da1
pentadecimal (15) 29c51

As an angle

134,401° = 373 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλδυαʹ
Mayan (base 20)
𝋰·𝋰·𝋠·𝋡
Chinese
一十三萬四千四百零一
Chinese (financial)
壹拾參萬肆仟肆佰零壹
In other modern scripts
Eastern Arabic ١٣٤٤٠١ Devanagari १३४४०१ Bengali ১৩৪৪০১ Tamil ௧௩௪௪௦௧ Thai ๑๓๔๔๐๑ Tibetan ༡༣༤༤༠༡ Khmer ១៣៤៤០១ Lao ໑໓໔໔໐໑ Burmese ၁၃၄၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 134399.

Unicode codepoint
𠴁
CJK Unified Ideograph-20D01
U+20D01
Other letter (Lo)

UTF-8 encoding: F0 A0 B4 81 (4 bytes).

Hex color
#020D01
RGB(2, 13, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.1.

Address
0.2.13.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.1

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 134,401 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 134401 first appears in π at position 4,213 of the decimal expansion (the 4,213ordinal-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.