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106,142

106,142 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.).

106,142 (one hundred six thousand one hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 73 × 727. Written other ways, in hexadecimal, 0x19E9E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
241,601
Recamán's sequence
a(88,639) = 106,142
Square (n²)
11,266,124,164
Cube (n³)
1,195,808,951,015,288
Divisor count
8
σ(n) — sum of divisors
161,616
φ(n) — Euler's totient
52,272
Sum of prime factors
802

Primality

Prime factorization: 2 × 73 × 727

Nearest primes: 106,129 (−13) · 106,163 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 73 · 146 · 727 · 1454 · 53071 (half) · 106142
Aliquot sum (sum of proper divisors): 55,474
Factor pairs (a × b = 106,142)
1 × 106142
2 × 53071
73 × 1454
146 × 727
First multiples
106,142 · 212,284 (double) · 318,426 · 424,568 · 530,710 · 636,852 · 742,994 · 849,136 · 955,278 · 1,061,420

Sums & aliquot sequence

As consecutive integers: 26,534 + 26,535 + 26,536 + 26,537 1,418 + 1,419 + … + 1,490 218 + 219 + … + 509
Aliquot sequence: 106,142 → 55,474 → 27,740 → 34,420 → 37,904 → 39,472 → 37,036 → 29,492 → 23,344 → 21,916 → 16,444 → 12,340 → 13,616 → 14,656 → 14,554 → 8,486 → 4,246 — unresolved within range

Continued fraction of √n

√106,142 = [325; (1, 3, 1, 6, 2, 1, 3, 2, 3, 1, 3, 1, 3, 1, 1, 2, 1, 1, 7, 1, 7, 2, 1, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand one hundred forty-two
Ordinal
106142nd
Binary
11001111010011110
Octal
317236
Hexadecimal
0x19E9E
Base64
AZ6e
One's complement
4,294,861,153 (32-bit)
Scientific notation
1.06142 × 10⁵
As a duration
106,142 s = 1 day, 5 hours, 29 minutes, 2 seconds
In other bases
ternary (3) 12101121012
quaternary (4) 121322132
quinary (5) 11344032
senary (6) 2135222
septenary (7) 621311
nonary (9) 171535
undecimal (11) 72823
duodecimal (12) 51512
tridecimal (13) 3940a
tetradecimal (14) 2a978
pentadecimal (15) 216b2

As an angle

106,142° = 294 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρϛρμβʹ
Mayan (base 20)
𝋭·𝋥·𝋧·𝋢
Chinese
十萬六千一百四十二
Chinese (financial)
壹拾萬陸仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٦١٤٢ Devanagari १०६१४२ Bengali ১০৬১৪২ Tamil ௧௦௬௧௪௨ Thai ๑๐๖๑๔๒ Tibetan ༡༠༦༡༤༢ Khmer ១០៦១៤២ Lao ໑໐໖໑໔໒ Burmese ၁၀၆၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106142, here are decompositions:

  • 13 + 106129 = 106142
  • 19 + 106123 = 106142
  • 109 + 106033 = 106142
  • 199 + 105943 = 106142
  • 229 + 105913 = 106142
  • 271 + 105871 = 106142
  • 313 + 105829 = 106142
  • 373 + 105769 = 106142

Showing the first eight; more decompositions exist.

Hex color
#019E9E
RGB(1, 158, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.158.

Address
0.1.158.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.158

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 106,142 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 106142 first appears in π at position 592,755 of the decimal expansion (the 592,755ordinal-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.