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106,916

106,916 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.).

106,916 (one hundred six thousand nine hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 26,729. Written other ways, in hexadecimal, 0x1A1A4.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
619,601
Flips to (rotate 180°)
916,901
Recamán's sequence
a(81,887) = 106,916
Square (n²)
11,431,031,056
Cube (n³)
1,222,160,116,383,296
Divisor count
6
σ(n) — sum of divisors
187,110
φ(n) — Euler's totient
53,456
Sum of prime factors
26,733

Primality

Prime factorization: 2 2 × 26729

Nearest primes: 106,907 (−9) · 106,921 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 26729 · 53458 (half) · 106916
Aliquot sum (sum of proper divisors): 80,194
Factor pairs (a × b = 106,916)
1 × 106916
2 × 53458
4 × 26729
First multiples
106,916 · 213,832 (double) · 320,748 · 427,664 · 534,580 · 641,496 · 748,412 · 855,328 · 962,244 · 1,069,160

Sums & aliquot sequence

As a sum of two squares: 104² + 310²
As consecutive integers: 13,361 + 13,362 + … + 13,368
Aliquot sequence: 106,916 → 80,194 → 41,594 → 29,734 → 14,870 → 11,914 → 9,974 → 4,990 → 4,010 → 3,226 → 1,616 → 1,546 → 776 → 694 → 350 → 394 → 200 — unresolved within range

Continued fraction of √n

√106,916 = [326; (1, 49, 3, 3, 1, 3, 9, 1, 20, 5, 5, 2, 3, 1, 1, 1, 2, 2, 5, 1, 2, 4, 6, 3, …)]

Representations

In words
one hundred six thousand nine hundred sixteen
Ordinal
106916th
Binary
11010000110100100
Octal
320644
Hexadecimal
0x1A1A4
Base64
AaGk
One's complement
4,294,860,379 (32-bit)
Scientific notation
1.06916 × 10⁵
As a duration
106,916 s = 1 day, 5 hours, 41 minutes, 56 seconds
In other bases
ternary (3) 12102122212
quaternary (4) 122012210
quinary (5) 11410131
senary (6) 2142552
septenary (7) 623465
nonary (9) 172585
undecimal (11) 73367
duodecimal (12) 51a58
tridecimal (13) 39884
tetradecimal (14) 2ad6c
pentadecimal (15) 21a2b

As an angle

106,916° = 296 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛϡιϛʹ
Mayan (base 20)
𝋭·𝋧·𝋥·𝋰
Chinese
十萬六千九百一十六
Chinese (financial)
壹拾萬陸仟玖佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٦٩١٦ Devanagari १०६९१६ Bengali ১০৬৯১৬ Tamil ௧௦௬௯௧௬ Thai ๑๐๖๙๑๖ Tibetan ༡༠༦༩༡༦ Khmer ១០៦៩១៦ Lao ໑໐໖໙໑໖ Burmese ၁၀၆၉၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106916, here are decompositions:

  • 13 + 106903 = 106916
  • 157 + 106759 = 106916
  • 163 + 106753 = 106916
  • 223 + 106693 = 106916
  • 373 + 106543 = 106916
  • 379 + 106537 = 106916
  • 463 + 106453 = 106916
  • 499 + 106417 = 106916

Showing the first eight; more decompositions exist.

Hex color
#01A1A4
RGB(1, 161, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.164.

Address
0.1.161.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.164

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 106,916 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 106916 first appears in π at position 877,558 of the decimal expansion (the 877,558ordinal-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.