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136,964

136,964 is a composite number, even.

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.).

136,964 (one hundred thirty-six thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 97 × 353. Written other ways, in hexadecimal, 0x21704.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,888
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
469,631
Square (n²)
18,759,137,296
Cube (n³)
2,569,326,480,609,344
Divisor count
12
σ(n) — sum of divisors
242,844
φ(n) — Euler's totient
67,584
Sum of prime factors
454

Primality

Prime factorization: 2 2 × 97 × 353

Nearest primes: 136,963 (−1) · 136,973 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 97 · 194 · 353 · 388 · 706 · 1412 · 34241 · 68482 (half) · 136964
Aliquot sum (sum of proper divisors): 105,880
Factor pairs (a × b = 136,964)
1 × 136964
2 × 68482
4 × 34241
97 × 1412
194 × 706
353 × 388
First multiples
136,964 · 273,928 (double) · 410,892 · 547,856 · 684,820 · 821,784 · 958,748 · 1,095,712 · 1,232,676 · 1,369,640

Sums & aliquot sequence

As a sum of two squares: 8² + 370² = 242² + 280²
As consecutive integers: 17,117 + 17,118 + … + 17,124 1,364 + 1,365 + … + 1,460 212 + 213 + … + 564
Aliquot sequence: 136,964 105,880 132,440 247,720 361,400 550,000 903,032 1,020,568 1,020,632 893,068 811,964 643,924 482,950 485,738 309,142 154,574 116,242 — unresolved within range

Continued fraction of √n

√136,964 = [370; (11, 1, 1, 3, 2, 2, 2, 4, 1, 6, 1, 4, 2, 2, 2, 3, 1, 1, 11, 740)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand nine hundred sixty-four
Ordinal
136964th
Binary
100001011100000100
Octal
413404
Hexadecimal
0x21704
Base64
AhcE
One's complement
4,294,830,331 (32-bit)
Scientific notation
1.36964 × 10⁵
As a duration
136,964 s = 1 day, 14 hours, 2 minutes, 44 seconds
In other bases
ternary (3) 20221212202
quaternary (4) 201130010
quinary (5) 13340324
senary (6) 2534032
septenary (7) 1110212
nonary (9) 227782
undecimal (11) 939a3
duodecimal (12) 67318
tridecimal (13) 4a459
tetradecimal (14) 37cb2
pentadecimal (15) 2a8ae
Palindromic in base 3

As an angle

136,964° = 380 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛϡξδʹ
Mayan (base 20)
𝋱·𝋢·𝋨·𝋤
Chinese
一十三萬六千九百六十四
Chinese (financial)
壹拾參萬陸仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٦٩٦٤ Devanagari १३६९६४ Bengali ১৩৬৯৬৪ Tamil ௧௩௬௯௬௪ Thai ๑๓๖๙๖๔ Tibetan ༡༣༦༩༦༤ Khmer ១៣៦៩៦៤ Lao ໑໓໖໙໖໔ Burmese ၁၃၆၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136964, here are decompositions:

  • 13 + 136951 = 136964
  • 67 + 136897 = 136964
  • 103 + 136861 = 136964
  • 151 + 136813 = 136964
  • 211 + 136753 = 136964
  • 271 + 136693 = 136964
  • 307 + 136657 = 136964
  • 313 + 136651 = 136964

Showing the first eight; more decompositions exist.

Unicode codepoint
𡜄
CJK Unified Ideograph-21704
U+21704
Other letter (Lo)

UTF-8 encoding: F0 A1 9C 84 (4 bytes).

Hex color
#021704
RGB(2, 23, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.4.

Address
0.2.23.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.4

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 136,964 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 136964 first appears in π at position 591,981 of the decimal expansion (the 591,981ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.