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106,776

106,776 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.).

106,776 (one hundred six thousand seven hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,483. Its proper divisors sum to 182,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A118.

Abundant Number Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
677,601
Recamán's sequence
a(81,607) = 106,776
Square (n²)
11,401,114,176
Cube (n³)
1,217,365,367,256,576
Divisor count
24
σ(n) — sum of divisors
289,380
φ(n) — Euler's totient
35,568
Sum of prime factors
1,495

Primality

Prime factorization: 2 3 × 3 2 × 1483

Nearest primes: 106,759 (−17) · 106,781 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1483 · 2966 · 4449 · 5932 · 8898 · 11864 · 13347 · 17796 · 26694 · 35592 · 53388 (half) · 106776
Aliquot sum (sum of proper divisors): 182,604
Factor pairs (a × b = 106,776)
1 × 106776
2 × 53388
3 × 35592
4 × 26694
6 × 17796
8 × 13347
9 × 11864
12 × 8898
18 × 5932
24 × 4449
36 × 2966
72 × 1483
First multiples
106,776 · 213,552 (double) · 320,328 · 427,104 · 533,880 · 640,656 · 747,432 · 854,208 · 960,984 · 1,067,760

Sums & aliquot sequence

As consecutive integers: 35,591 + 35,592 + 35,593 11,860 + 11,861 + … + 11,868 6,666 + 6,667 + … + 6,681 2,201 + 2,202 + … + 2,248
Aliquot sequence: 106,776 → 182,604 → 243,500 → 289,396 → 224,684 → 168,520 → 246,200 → 326,680 → 408,440 → 510,640 → 770,528 → 905,272 → 792,128 → 779,878 → 496,322 → 248,164 → 248,220 — unresolved within range

Continued fraction of √n

√106,776 = [326; (1, 3, 3, 1, 1, 1, 32, 26, 9, 26, 32, 1, 1, 1, 3, 3, 1, 652)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand seven hundred seventy-six
Ordinal
106776th
Binary
11010000100011000
Octal
320430
Hexadecimal
0x1A118
Base64
AaEY
One's complement
4,294,860,519 (32-bit)
Scientific notation
1.06776 × 10⁵
As a duration
106,776 s = 1 day, 5 hours, 39 minutes, 36 seconds
In other bases
ternary (3) 12102110200
quaternary (4) 122010120
quinary (5) 11404101
senary (6) 2142200
septenary (7) 623205
nonary (9) 172420
undecimal (11) 7324a
duodecimal (12) 51960
tridecimal (13) 397a7
tetradecimal (14) 2acac
pentadecimal (15) 21986

As an angle

106,776° = 296 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛψοϛʹ
Mayan (base 20)
𝋭·𝋦·𝋲·𝋰
Chinese
十萬六千七百七十六
Chinese (financial)
壹拾萬陸仟柒佰柒拾陸
In other modern scripts
Eastern Arabic ١٠٦٧٧٦ Devanagari १०६७७६ Bengali ১০৬৭৭৬ Tamil ௧௦௬௭௭௬ Thai ๑๐๖๗๗๖ Tibetan ༡༠༦༧༧༦ Khmer ១០៦៧៧៦ Lao ໑໐໖໗໗໖ Burmese ၁၀၆၇၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106776, here are decompositions:

  • 17 + 106759 = 106776
  • 23 + 106753 = 106776
  • 29 + 106747 = 106776
  • 37 + 106739 = 106776
  • 73 + 106703 = 106776
  • 83 + 106693 = 106776
  • 107 + 106669 = 106776
  • 113 + 106663 = 106776

Showing the first eight; more decompositions exist.

Hex color
#01A118
RGB(1, 161, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.24.

Address
0.1.161.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.24

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 106,776 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.