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136,501

136,501 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.).

136,501 (one hundred thirty-six thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21535.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean 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
105,631
Square (n²)
18,632,523,001
Cube (n³)
2,543,358,022,159,501
Divisor count
2
σ(n) — sum of divisors
136,502
φ(n) — Euler's totient
136,500

Primality

136,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,501)
1 × 136501
First multiples
136,501 · 273,002 (double) · 409,503 · 546,004 · 682,505 · 819,006 · 955,507 · 1,092,008 · 1,228,509 · 1,365,010

Sums & aliquot sequence

As a sum of two squares: 201² + 310²
As consecutive integers: 68,250 + 68,251

Continued fraction of √n

√136,501 = [369; (2, 5, 1, 4, 2, 3, 5, 1, 11, 2, 9, 4, 8, 1, 1, 4, 4, 1, 4, 6, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-six thousand five hundred one
Ordinal
136501st
Binary
100001010100110101
Octal
412465
Hexadecimal
0x21535
Base64
AhU1
One's complement
4,294,830,794 (32-bit)
Scientific notation
1.36501 × 10⁵
As a duration
136,501 s = 1 day, 13 hours, 55 minutes, 1 second
In other bases
ternary (3) 20221020121
quaternary (4) 201110311
quinary (5) 13332001
senary (6) 2531541
septenary (7) 1105651
nonary (9) 227217
undecimal (11) 93612
duodecimal (12) 66bb1
tridecimal (13) 4a191
tetradecimal (14) 37a61
pentadecimal (15) 2a6a1

As an angle

136,501° = 379 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλϛφαʹ
Mayan (base 20)
𝋱·𝋡·𝋥·𝋡
Chinese
一十三萬六千五百零一
Chinese (financial)
壹拾參萬陸仟伍佰零壹
In other modern scripts
Eastern Arabic ١٣٦٥٠١ Devanagari १३६५०१ Bengali ১৩৬৫০১ Tamil ௧௩௬௫௦௧ Thai ๑๓๖๕๐๑ Tibetan ༡༣༦༥༠༡ Khmer ១៣៦៥០១ Lao ໑໓໖໕໐໑ Burmese ၁၃၆၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡔵
CJK Unified Ideograph-21535
U+21535
Other letter (Lo)

UTF-8 encoding: F0 A1 94 B5 (4 bytes).

Hex color
#021535
RGB(2, 21, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.53.

Address
0.2.21.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.53

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 136,501 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 136501 first appears in π at position 992,846 of the decimal expansion (the 992,846ordinal-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.