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136,601

136,601 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.).

136,601 (one hundred thirty-six thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21599.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
106,631
Square (n²)
18,659,833,201
Cube (n³)
2,548,951,875,089,801
Divisor count
2
σ(n) — sum of divisors
136,602
φ(n) — Euler's totient
136,600

Primality

136,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,601)
1 × 136601
First multiples
136,601 · 273,202 (double) · 409,803 · 546,404 · 683,005 · 819,606 · 956,207 · 1,092,808 · 1,229,409 · 1,366,010

Sums & aliquot sequence

As a sum of two squares: 176² + 325²
As consecutive integers: 68,300 + 68,301

Continued fraction of √n

√136,601 = [369; (1, 1, 2, 8, 1, 22, 4, 1, 5, 1, 2, 1, 5, 2, 1, 2, 2, 19, 1, 1, 3, 1, 10, 1, …)]

Representations

In words
one hundred thirty-six thousand six hundred one
Ordinal
136601st
Binary
100001010110011001
Octal
412631
Hexadecimal
0x21599
Base64
AhWZ
One's complement
4,294,830,694 (32-bit)
Scientific notation
1.36601 × 10⁵
As a duration
136,601 s = 1 day, 13 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 20221101022
quaternary (4) 201112121
quinary (5) 13332401
senary (6) 2532225
septenary (7) 1106153
nonary (9) 227338
undecimal (11) 936a3
duodecimal (12) 67075
tridecimal (13) 4a23a
tetradecimal (14) 37ad3
pentadecimal (15) 2a71b

As an angle

136,601° = 379 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλϛχαʹ
Mayan (base 20)
𝋱·𝋡·𝋪·𝋡
Chinese
一十三萬六千六百零一
Chinese (financial)
壹拾參萬陸仟陸佰零壹
In other modern scripts
Eastern Arabic ١٣٦٦٠١ Devanagari १३६६०१ Bengali ১৩৬৬০১ Tamil ௧௩௬௬௦௧ Thai ๑๓๖๖๐๑ Tibetan ༡༣༦༦༠༡ Khmer ១៣៦៦០១ Lao ໑໓໖໖໐໑ Burmese ၁၃၆၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136603.

Unicode codepoint
𡖙
CJK Unified Ideograph-21599
U+21599
Other letter (Lo)

UTF-8 encoding: F0 A1 96 99 (4 bytes).

Hex color
#021599
RGB(2, 21, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.153.

Address
0.2.21.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.153

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 136,601 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 136601 first appears in π at position 906,645 of the decimal expansion (the 906,645ordinal-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.