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102,242

102,242 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.).

102,242 (one hundred two thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 67 × 109. Written other ways, in hexadecimal, 0x18F62.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
242,201
Recamán's sequence
a(40,203) = 102,242
Square (n²)
10,453,426,564
Cube (n³)
1,068,779,238,756,488
Divisor count
16
σ(n) — sum of divisors
179,520
φ(n) — Euler's totient
42,768
Sum of prime factors
185

Primality

Prime factorization: 2 × 7 × 67 × 109

Nearest primes: 102,241 (−1) · 102,251 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 67 · 109 · 134 · 218 · 469 · 763 · 938 · 1526 · 7303 · 14606 · 51121 (half) · 102242
Aliquot sum (sum of proper divisors): 77,278
Factor pairs (a × b = 102,242)
1 × 102242
2 × 51121
7 × 14606
14 × 7303
67 × 1526
109 × 938
134 × 763
218 × 469
First multiples
102,242 · 204,484 (double) · 306,726 · 408,968 · 511,210 · 613,452 · 715,694 · 817,936 · 920,178 · 1,022,420

Sums & aliquot sequence

As consecutive integers: 25,559 + 25,560 + 25,561 + 25,562 14,603 + 14,604 + … + 14,609 3,638 + 3,639 + … + 3,665 1,493 + 1,494 + … + 1,559
Aliquot sequence: 102,242 77,278 38,642 19,741 1,059 357 219 77 19 1 0 — terminates at zero

Continued fraction of √n

√102,242 = [319; (1, 3, 20, 2, 1, 1, 1, 3, 6, 3, 6, 2, 18, 2, 1, 8, 2, 1, 90, 1, 2, 8, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred two thousand two hundred forty-two
Ordinal
102242nd
Binary
11000111101100010
Octal
307542
Hexadecimal
0x18F62
Base64
AY9i
One's complement
4,294,865,053 (32-bit)
Scientific notation
1.02242 × 10⁵
As a duration
102,242 s = 1 day, 4 hours, 24 minutes, 2 seconds
In other bases
ternary (3) 12012020202
quaternary (4) 120331202
quinary (5) 11232432
senary (6) 2105202
septenary (7) 604040
nonary (9) 165222
undecimal (11) 6a8a8
duodecimal (12) 4b202
tridecimal (13) 376ca
tetradecimal (14) 29390
pentadecimal (15) 20462

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρβσμβʹ
Mayan (base 20)
𝋬·𝋯·𝋬·𝋢
Chinese
一十萬二千二百四十二
Chinese (financial)
壹拾萬貳仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٢٢٤٢ Devanagari १०२२४२ Bengali ১০২২৪২ Tamil ௧௦௨௨௪௨ Thai ๑๐๒๒๔๒ Tibetan ༡༠༢༢༤༢ Khmer ១០២២៤២ Lao ໑໐໒໒໔໒ Burmese ၁၀၂၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 102242, here are decompositions:

  • 13 + 102229 = 102242
  • 43 + 102199 = 102242
  • 61 + 102181 = 102242
  • 103 + 102139 = 102242
  • 139 + 102103 = 102242
  • 163 + 102079 = 102242
  • 181 + 102061 = 102242
  • 199 + 102043 = 102242

Showing the first eight; more decompositions exist.

Hex color
#018F62
RGB(1, 143, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.143.98.

Address
0.1.143.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.143.98

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 102,242 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 102242 first appears in π at position 343,239 of the decimal expansion (the 343,239ordinal-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.