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106,742

106,742 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.).

106,742 (one hundred six thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 19 × 53². Written other ways, in hexadecimal, 0x1A0F6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
247,601
Recamán's sequence
a(81,375) = 106,742
Square (n²)
11,393,854,564
Cube (n³)
1,216,202,823,870,488
Divisor count
12
σ(n) — sum of divisors
171,780
φ(n) — Euler's totient
49,608
Sum of prime factors
127

Primality

Prime factorization: 2 × 19 × 53 2

Nearest primes: 106,739 (−3) · 106,747 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 19 · 38 · 53 · 106 · 1007 · 2014 · 2809 · 5618 · 53371 (half) · 106742
Aliquot sum (sum of proper divisors): 65,038
Factor pairs (a × b = 106,742)
1 × 106742
2 × 53371
19 × 5618
38 × 2809
53 × 2014
106 × 1007
First multiples
106,742 · 213,484 (double) · 320,226 · 426,968 · 533,710 · 640,452 · 747,194 · 853,936 · 960,678 · 1,067,420

Sums & aliquot sequence

As consecutive integers: 26,684 + 26,685 + 26,686 + 26,687 5,609 + 5,610 + … + 5,627 1,988 + 1,989 + … + 2,040 1,367 + 1,368 + … + 1,442
Aliquot sequence: 106,742 → 65,038 → 35,762 → 17,884 → 15,380 → 16,960 → 24,188 → 18,148 → 16,152 → 24,288 → 48,288 → 78,720 → 178,320 → 375,216 → 594,216 → 1,322,424 → 2,259,336 — unresolved within range

Continued fraction of √n

√106,742 = [326; (1, 2, 2, 58, 1, 37, 2, 4, 1, 9, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 21, 1, …)]

Representations

In words
one hundred six thousand seven hundred forty-two
Ordinal
106742nd
Binary
11010000011110110
Octal
320366
Hexadecimal
0x1A0F6
Base64
AaD2
One's complement
4,294,860,553 (32-bit)
Scientific notation
1.06742 × 10⁵
As a duration
106,742 s = 1 day, 5 hours, 39 minutes, 2 seconds
In other bases
ternary (3) 12102102102
quaternary (4) 122003312
quinary (5) 11403432
senary (6) 2142102
septenary (7) 623126
nonary (9) 172372
undecimal (11) 73219
duodecimal (12) 51932
tridecimal (13) 3977c
tetradecimal (14) 2ac86
pentadecimal (15) 21962

As an angle

106,742° = 296 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρϛψμβʹ
Mayan (base 20)
𝋭·𝋦·𝋱·𝋢
Chinese
十萬六千七百四十二
Chinese (financial)
壹拾萬陸仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٦٧٤٢ Devanagari १०६७४२ Bengali ১০৬৭৪২ Tamil ௧௦௬௭௪௨ Thai ๑๐๖๗๔๒ Tibetan ༡༠༦༧༤༢ Khmer ១០៦៧៤២ Lao ໑໐໖໗໔໒ Burmese ၁၀၆၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106742, here are decompositions:

  • 3 + 106739 = 106742
  • 43 + 106699 = 106742
  • 61 + 106681 = 106742
  • 73 + 106669 = 106742
  • 79 + 106663 = 106742
  • 151 + 106591 = 106742
  • 199 + 106543 = 106742
  • 211 + 106531 = 106742

Showing the first eight; more decompositions exist.

Hex color
#01A0F6
RGB(1, 160, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.246.

Address
0.1.160.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.246

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 106,742 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 106742 first appears in π at position 509,778 of the decimal expansion (the 509,778ordinal-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.