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106,616

106,616 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.).

106,616 (one hundred six thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,327. Written other ways, in hexadecimal, 0x1A078.

Arithmetic Number Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
616,601
Flips to (rotate 180°)
919,901
Recamán's sequence
a(45,115) = 106,616
Square (n²)
11,366,971,456
Cube (n³)
1,211,901,028,752,896
Divisor count
8
σ(n) — sum of divisors
199,920
φ(n) — Euler's totient
53,304
Sum of prime factors
13,333

Primality

Prime factorization: 2 3 × 13327

Nearest primes: 106,591 (−25) · 106,619 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 13327 · 26654 · 53308 (half) · 106616
Aliquot sum (sum of proper divisors): 93,304
Factor pairs (a × b = 106,616)
1 × 106616
2 × 53308
4 × 26654
8 × 13327
First multiples
106,616 · 213,232 (double) · 319,848 · 426,464 · 533,080 · 639,696 · 746,312 · 852,928 · 959,544 · 1,066,160

Sums & aliquot sequence

As consecutive integers: 6,656 + 6,657 + … + 6,671
Aliquot sequence: 106,616 → 93,304 → 84,896 → 106,624 → 155,006 → 99,010 → 79,226 → 56,614 → 28,310 → 25,690 → 27,302 → 20,650 → 23,990 → 19,210 → 17,726 → 8,866 → 7,262 — unresolved within range

Continued fraction of √n

√106,616 = [326; (1, 1, 11, 2, 1, 2, 7, 1, 8, 3, 6, 1, 1, 4, 4, 2, 1, 7, 1, 9, 6, 5, 1, 1, …)]

Representations

In words
one hundred six thousand six hundred sixteen
Ordinal
106616th
Binary
11010000001111000
Octal
320170
Hexadecimal
0x1A078
Base64
AaB4
One's complement
4,294,860,679 (32-bit)
Scientific notation
1.06616 × 10⁵
As a duration
106,616 s = 1 day, 5 hours, 36 minutes, 56 seconds
In other bases
ternary (3) 12102020202
quaternary (4) 122001320
quinary (5) 11402431
senary (6) 2141332
septenary (7) 622556
nonary (9) 172222
undecimal (11) 73114
duodecimal (12) 51848
tridecimal (13) 396b3
tetradecimal (14) 2abd6
pentadecimal (15) 218cb

As an angle

106,616° = 296 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛχιϛʹ
Mayan (base 20)
𝋭·𝋦·𝋪·𝋰
Chinese
十萬六千六百一十六
Chinese (financial)
壹拾萬陸仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٦٦١٦ Devanagari १०६६१६ Bengali ১০৬৬১৬ Tamil ௧௦௬௬௧௬ Thai ๑๐๖๖๑๖ Tibetan ༡༠༦༦༡༦ Khmer ១០៦៦១៦ Lao ໑໐໖໖໑໖ Burmese ၁၀၆၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106616, here are decompositions:

  • 73 + 106543 = 106616
  • 79 + 106537 = 106616
  • 163 + 106453 = 106616
  • 199 + 106417 = 106616
  • 313 + 106303 = 106616
  • 337 + 106279 = 106616
  • 373 + 106243 = 106616
  • 397 + 106219 = 106616

Showing the first eight; more decompositions exist.

Hex color
#01A078
RGB(1, 160, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.120.

Address
0.1.160.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.120

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 106,616 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 106616 first appears in π at position 81,473 of the decimal expansion (the 81,473ordinal-suffix:rd 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.