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136,421

136,421 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.).

136,421 (one hundred thirty-six thousand four hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x214E5.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
124,631
Square (n²)
18,610,689,241
Cube (n³)
2,538,888,836,946,461
Divisor count
2
σ(n) — sum of divisors
136,422
φ(n) — Euler's totient
136,420

Primality

136,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,421)
1 × 136421
First multiples
136,421 · 272,842 (double) · 409,263 · 545,684 · 682,105 · 818,526 · 954,947 · 1,091,368 · 1,227,789 · 1,364,210

Sums & aliquot sequence

As a sum of two squares: 230² + 289²
As consecutive integers: 68,210 + 68,211

Continued fraction of √n

√136,421 = [369; (2, 1, 5, 4, 8, 2, 4, 1, 1, 1, 1, 1, 7, 1, 2, 9, 2, 1, 2, 7, 1, 1, 1, 9, …)]

Representations

In words
one hundred thirty-six thousand four hundred twenty-one
Ordinal
136421st
Binary
100001010011100101
Octal
412345
Hexadecimal
0x214E5
Base64
AhTl
One's complement
4,294,830,874 (32-bit)
Scientific notation
1.36421 × 10⁵
As a duration
136,421 s = 1 day, 13 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 20221010122
quaternary (4) 201103211
quinary (5) 13331141
senary (6) 2531325
septenary (7) 1105505
nonary (9) 227118
undecimal (11) 9354a
duodecimal (12) 66b45
tridecimal (13) 4a12c
tetradecimal (14) 37a05
pentadecimal (15) 2a64b

As an angle

136,421° = 378 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλϛυκαʹ
Mayan (base 20)
𝋱·𝋡·𝋡·𝋡
Chinese
一十三萬六千四百二十一
Chinese (financial)
壹拾參萬陸仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٦٤٢١ Devanagari १३६४२१ Bengali ১৩৬৪২১ Tamil ௧௩௬௪௨௧ Thai ๑๓๖๔๒๑ Tibetan ༡༣༦༤༢༡ Khmer ១៣៦៤២១ Lao ໑໓໖໔໒໑ Burmese ၁၃၆၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 136417.

Unicode codepoint
𡓥
CJK Unified Ideograph-214E5
U+214E5
Other letter (Lo)

UTF-8 encoding: F0 A1 93 A5 (4 bytes).

Hex color
#0214E5
RGB(2, 20, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.229.

Address
0.2.20.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.229

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 136,421 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 136421 first appears in π at position 623,429 of the decimal expansion (the 623,429ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.