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136,772

136,772 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.).

136,772 (one hundred thirty-six thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 1,103. Written other ways, in hexadecimal, 0x21644.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,764
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
277,631
Square (n²)
18,706,579,984
Cube (n³)
2,558,536,357,571,648
Divisor count
12
σ(n) — sum of divisors
247,296
φ(n) — Euler's totient
66,120
Sum of prime factors
1,138

Primality

Prime factorization: 2 2 × 31 × 1103

Nearest primes: 136,769 (−3) · 136,777 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 31 · 62 · 124 · 1103 · 2206 · 4412 · 34193 · 68386 (half) · 136772
Aliquot sum (sum of proper divisors): 110,524
Factor pairs (a × b = 136,772)
1 × 136772
2 × 68386
4 × 34193
31 × 4412
62 × 2206
124 × 1103
First multiples
136,772 · 273,544 (double) · 410,316 · 547,088 · 683,860 · 820,632 · 957,404 · 1,094,176 · 1,230,948 · 1,367,720

Sums & aliquot sequence

As consecutive integers: 17,093 + 17,094 + … + 17,100 4,397 + 4,398 + … + 4,427 428 + 429 + … + 675
Aliquot sequence: 136,772 110,524 82,900 97,210 77,786 51,814 37,034 18,520 23,240 37,240 65,360 98,320 130,460 168,916 156,934 78,470 94,330 — unresolved within range

Continued fraction of √n

√136,772 = [369; (1, 4, 1, 3, 1, 1, 5, 3, 1, 3, 13, 1, 22, 1, 13, 3, 1, 3, 5, 1, 1, 3, 1, 4, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand seven hundred seventy-two
Ordinal
136772nd
Binary
100001011001000100
Octal
413104
Hexadecimal
0x21644
Base64
AhZE
One's complement
4,294,830,523 (32-bit)
Scientific notation
1.36772 × 10⁵
As a duration
136,772 s = 1 day, 13 hours, 59 minutes, 32 seconds
In other bases
ternary (3) 20221121122
quaternary (4) 201121010
quinary (5) 13334042
senary (6) 2533112
septenary (7) 1106516
nonary (9) 227548
undecimal (11) 93839
duodecimal (12) 67198
tridecimal (13) 4a33c
tetradecimal (14) 37bb6
pentadecimal (15) 2a7d2
Palindromic in base 11

As an angle

136,772° = 379 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛψοβʹ
Mayan (base 20)
𝋱·𝋡·𝋲·𝋬
Chinese
一十三萬六千七百七十二
Chinese (financial)
壹拾參萬陸仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٦٧٧٢ Devanagari १३६७७२ Bengali ১৩৬৭৭২ Tamil ௧௩௬௭௭௨ Thai ๑๓๖๗๗๒ Tibetan ༡༣༦༧༧༢ Khmer ១៣៦៧៧២ Lao ໑໓໖໗໗໒ Burmese ၁၃၆၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136772, here are decompositions:

  • 3 + 136769 = 136772
  • 19 + 136753 = 136772
  • 61 + 136711 = 136772
  • 79 + 136693 = 136772
  • 151 + 136621 = 136772
  • 199 + 136573 = 136772
  • 241 + 136531 = 136772
  • 271 + 136501 = 136772

Showing the first eight; more decompositions exist.

Unicode codepoint
𡙄
CJK Unified Ideograph-21644
U+21644
Other letter (Lo)

UTF-8 encoding: F0 A1 99 84 (4 bytes).

Hex color
#021644
RGB(2, 22, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.68.

Address
0.2.22.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.68

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 136,772 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 136772 first appears in π at position 540,388 of the decimal expansion (the 540,388ordinal-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

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