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106,016

106,016 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.).

106,016 (one hundred six thousand sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,313. Written other ways, in hexadecimal, 0x19E20.

Deficient Number Flippable Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
610,601
Flips to (rotate 180°)
910,901
Recamán's sequence
a(89,139) = 106,016
Square (n²)
11,239,392,256
Cube (n³)
1,191,555,409,412,096
Divisor count
12
σ(n) — sum of divisors
208,782
φ(n) — Euler's totient
52,992
Sum of prime factors
3,323

Primality

Prime factorization: 2 5 × 3313

Nearest primes: 106,013 (−3) · 106,019 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3313 · 6626 · 13252 · 26504 · 53008 (half) · 106016
Aliquot sum (sum of proper divisors): 102,766
Factor pairs (a × b = 106,016)
1 × 106016
2 × 53008
4 × 26504
8 × 13252
16 × 6626
32 × 3313
First multiples
106,016 · 212,032 (double) · 318,048 · 424,064 · 530,080 · 636,096 · 742,112 · 848,128 · 954,144 · 1,060,160

Sums & aliquot sequence

As a sum of two squares: 196² + 260²
As consecutive integers: 1,625 + 1,626 + … + 1,688
Aliquot sequence: 106,016 → 102,766 → 51,386 → 25,696 → 30,248 → 29,752 → 26,048 → 31,864 → 36,536 → 31,984 → 30,016 → 39,072 → 75,840 → 168,000 → 465,984 → 871,326 → 1,016,586 — unresolved within range

Continued fraction of √n

√106,016 = [325; (1, 1, 1, 1, 40, 9, 1, 161, 1, 9, 40, 1, 1, 1, 1, 650)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand sixteen
Ordinal
106016th
Binary
11001111000100000
Octal
317040
Hexadecimal
0x19E20
Base64
AZ4g
One's complement
4,294,861,279 (32-bit)
Scientific notation
1.06016 × 10⁵
As a duration
106,016 s = 1 day, 5 hours, 26 minutes, 56 seconds
In other bases
ternary (3) 12101102112
quaternary (4) 121320200
quinary (5) 11343031
senary (6) 2134452
septenary (7) 621041
nonary (9) 171375
undecimal (11) 72719
duodecimal (12) 51428
tridecimal (13) 39341
tetradecimal (14) 2a8c8
pentadecimal (15) 2162b

As an angle

106,016° = 294 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛιϛʹ
Mayan (base 20)
𝋭·𝋥·𝋠·𝋰
Chinese
十萬六千零一十六
Chinese (financial)
壹拾萬陸仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٦٠١٦ Devanagari १०६०१६ Bengali ১০৬০১৬ Tamil ௧௦௬௦௧௬ Thai ๑๐๖๐๑๖ Tibetan ༡༠༦༠༡༦ Khmer ១០៦០១៦ Lao ໑໐໖໐໑໖ Burmese ၁၀၆၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106016, here are decompositions:

  • 3 + 106013 = 106016
  • 19 + 105997 = 106016
  • 73 + 105943 = 106016
  • 103 + 105913 = 106016
  • 109 + 105907 = 106016
  • 199 + 105817 = 106016
  • 283 + 105733 = 106016
  • 349 + 105667 = 106016

Showing the first eight; more decompositions exist.

Hex color
#019E20
RGB(1, 158, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.32.

Address
0.1.158.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.32

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 106,016 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 106016 first appears in π at position 13,736 of the decimal expansion (the 13,736ordinal-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.