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106,976

106,976 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.).

106,976 (one hundred six thousand nine hundred seventy-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,343. Written other ways, in hexadecimal, 0x1A1E0.

Arithmetic Number Deficient Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
679,601
Recamán's sequence
a(82,007) = 106,976
Square (n²)
11,443,864,576
Cube (n³)
1,224,218,856,882,176
Divisor count
12
σ(n) — sum of divisors
210,672
φ(n) — Euler's totient
53,472
Sum of prime factors
3,353

Primality

Prime factorization: 2 5 × 3343

Nearest primes: 106,963 (−13) · 106,979 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3343 · 6686 · 13372 · 26744 · 53488 (half) · 106976
Aliquot sum (sum of proper divisors): 103,696
Factor pairs (a × b = 106,976)
1 × 106976
2 × 53488
4 × 26744
8 × 13372
16 × 6686
32 × 3343
First multiples
106,976 · 213,952 (double) · 320,928 · 427,904 · 534,880 · 641,856 · 748,832 · 855,808 · 962,784 · 1,069,760

Sums & aliquot sequence

As consecutive integers: 1,640 + 1,641 + … + 1,703
Aliquot sequence: 106,976 → 103,696 → 97,246 → 48,626 → 26,218 → 13,112 → 13,888 → 18,624 → 31,160 → 44,440 → 65,720 → 89,800 → 119,450 → 102,820 → 119,444 → 105,760 → 144,476 — unresolved within range

Continued fraction of √n

√106,976 = [327; (13, 1, 10, 1, 27, 1, 1, 9, 1, 1, 4, 20, 4, 1, 1, 9, 1, 1, 27, 1, 10, 1, 13, 654)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand nine hundred seventy-six
Ordinal
106976th
Binary
11010000111100000
Octal
320740
Hexadecimal
0x1A1E0
Base64
AaHg
One's complement
4,294,860,319 (32-bit)
Scientific notation
1.06976 × 10⁵
As a duration
106,976 s = 1 day, 5 hours, 42 minutes, 56 seconds
In other bases
ternary (3) 12102202002
quaternary (4) 122013200
quinary (5) 11410401
senary (6) 2143132
septenary (7) 623612
nonary (9) 172662
undecimal (11) 73411
duodecimal (12) 51aa8
tridecimal (13) 398cc
tetradecimal (14) 2adb2
pentadecimal (15) 21a6b

As an angle

106,976° = 297 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛϡοϛʹ
Mayan (base 20)
𝋭·𝋧·𝋨·𝋰
Chinese
十萬六千九百七十六
Chinese (financial)
壹拾萬陸仟玖佰柒拾陸
In other modern scripts
Eastern Arabic ١٠٦٩٧٦ Devanagari १०६९७६ Bengali ১০৬৯৭৬ Tamil ௧௦௬௯௭௬ Thai ๑๐๖๙๗๖ Tibetan ༡༠༦༩༧༦ Khmer ១០៦៩៧៦ Lao ໑໐໖໙໗໖ Burmese ၁၀၆၉၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106976, here are decompositions:

  • 13 + 106963 = 106976
  • 19 + 106957 = 106976
  • 73 + 106903 = 106976
  • 109 + 106867 = 106976
  • 193 + 106783 = 106976
  • 223 + 106753 = 106976
  • 229 + 106747 = 106976
  • 277 + 106699 = 106976

Showing the first eight; more decompositions exist.

Hex color
#01A1E0
RGB(1, 161, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.224.

Address
0.1.161.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.224

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 106,976 and was likely granted around 1870.

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

Position in π

The digit sequence 106976 first appears in π at position 682,096 of the decimal expansion (the 682,096ordinal-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.