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101,842

101,842 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.).

101,842 (one hundred one thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 3,917. Written other ways, in hexadecimal, 0x18DD2.

Cube-Free Deficient Number Happy Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
248,101
Square (n²)
10,371,792,964
Cube (n³)
1,056,284,139,039,688
Divisor count
8
σ(n) — sum of divisors
164,556
φ(n) — Euler's totient
46,992
Sum of prime factors
3,932

Primality

Prime factorization: 2 × 13 × 3917

Nearest primes: 101,839 (−3) · 101,863 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 3917 · 7834 · 50921 (half) · 101842
Aliquot sum (sum of proper divisors): 62,714
Factor pairs (a × b = 101,842)
1 × 101842
2 × 50921
13 × 7834
26 × 3917
First multiples
101,842 · 203,684 (double) · 305,526 · 407,368 · 509,210 · 611,052 · 712,894 · 814,736 · 916,578 · 1,018,420

Sums & aliquot sequence

As a sum of two squares: 9² + 319² = 131² + 291²
As consecutive integers: 25,459 + 25,460 + 25,461 + 25,462 7,828 + 7,829 + … + 7,840 1,933 + 1,934 + … + 1,984
Aliquot sequence: 101,842 62,714 31,360 55,850 48,124 38,060 49,636 37,234 18,620 29,260 51,380 72,268 78,932 78,988 99,764 103,726 80,594 — unresolved within range

Continued fraction of √n

√101,842 = [319; (7, 1, 7, 4, 1, 8, 1, 6, 2, 3, 1, 1, 4, 1, 2, 2, 7, 1, 3, 7, 1, 1, 9, 7, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand eight hundred forty-two
Ordinal
101842nd
Binary
11000110111010010
Octal
306722
Hexadecimal
0x18DD2
Base64
AY3S
One's complement
4,294,865,453 (32-bit)
Scientific notation
1.01842 × 10⁵
As a duration
101,842 s = 1 day, 4 hours, 17 minutes, 22 seconds
In other bases
ternary (3) 12011200221
quaternary (4) 120313102
quinary (5) 11224332
senary (6) 2103254
septenary (7) 602626
nonary (9) 164627
undecimal (11) 6a574
duodecimal (12) 4ab2a
tridecimal (13) 37480
tetradecimal (14) 29186
pentadecimal (15) 20297

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραωμβʹ
Mayan (base 20)
𝋬·𝋮·𝋬·𝋢
Chinese
一十萬一千八百四十二
Chinese (financial)
壹拾萬壹仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٠١٨٤٢ Devanagari १०१८४२ Bengali ১০১৮৪২ Tamil ௧௦௧௮௪௨ Thai ๑๐๑๘๔๒ Tibetan ༡༠༡༨༤༢ Khmer ១០១៨៤២ Lao ໑໐໑໘໔໒ Burmese ၁၀၁၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101842, here are decompositions:

  • 3 + 101839 = 101842
  • 5 + 101837 = 101842
  • 53 + 101789 = 101842
  • 71 + 101771 = 101842
  • 101 + 101741 = 101842
  • 149 + 101693 = 101842
  • 179 + 101663 = 101842
  • 239 + 101603 = 101842

Showing the first eight; more decompositions exist.

Hex color
#018DD2
RGB(1, 141, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.210.

Address
0.1.141.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.210

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 101,842 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 101842 first appears in π at position 490,366 of the decimal expansion (the 490,366ordinal-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