number.wiki
Live analysis

120,002

120,002 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.).

120,002 (one hundred twenty thousand two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 2,069. Written other ways, in hexadecimal, 0x1D4C2.

Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
200,021
Recamán's sequence
a(240,092) = 120,002
Square (n²)
14,400,480,004
Cube (n³)
1,728,086,401,440,008
Divisor count
8
σ(n) — sum of divisors
186,300
φ(n) — Euler's totient
57,904
Sum of prime factors
2,100

Primality

Prime factorization: 2 × 29 × 2069

Nearest primes: 119,993 (−9) · 120,011 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 29 · 58 · 2069 · 4138 · 60001 (half) · 120002
Aliquot sum (sum of proper divisors): 66,298
Factor pairs (a × b = 120,002)
1 × 120002
2 × 60001
29 × 4138
58 × 2069
First multiples
120,002 · 240,004 (double) · 360,006 · 480,008 · 600,010 · 720,012 · 840,014 · 960,016 · 1,080,018 · 1,200,020

Sums & aliquot sequence

As a sum of two squares: 61² + 341² = 191² + 289²
As consecutive integers: 29,999 + 30,000 + 30,001 + 30,002 4,124 + 4,125 + … + 4,152 977 + 978 + … + 1,092
Aliquot sequence: 120,002 66,298 33,152 44,368 44,912 54,784 55,700 65,386 32,696 30,544 31,952 29,986 21,854 16,450 19,262 9,634 4,820 — unresolved within range

Continued fraction of √n

√120,002 = [346; (2, 2, 2, 1, 1, 1, 98, 2, 1, 9, 11, 14, 20, 3, 3, 1, 3, 2, 1, 1, 1, 2, 1, 2, …)]

Representations

In words
one hundred twenty thousand two
Ordinal
120002nd
Binary
11101010011000010
Octal
352302
Hexadecimal
0x1D4C2
Base64
AdTC
One's complement
4,294,847,293 (32-bit)
Scientific notation
1.20002 × 10⁵
As a duration
120,002 s = 1 day, 9 hours, 20 minutes, 2 seconds
In other bases
ternary (3) 20002121112
quaternary (4) 131103002
quinary (5) 12320002
senary (6) 2323322
septenary (7) 1006601
nonary (9) 202545
undecimal (11) 82183
duodecimal (12) 59542
tridecimal (13) 4280c
tetradecimal (14) 31a38
pentadecimal (15) 25852
Palindromic in base 15

As an angle

120,002° = 333 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓏺𓏺
Greek (Milesian)
͵ρκβʹ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋢
Chinese
一十二萬零二
Chinese (financial)
壹拾貳萬零貳
In other modern scripts
Eastern Arabic ١٢٠٠٠٢ Devanagari १२०००२ Bengali ১২০০০২ Tamil ௧௨௦௦௦௨ Thai ๑๒๐๐๐๒ Tibetan ༡༢༠༠༠༢ Khmer ១២០០០២ Lao ໑໒໐໐໐໒ Burmese ၁၂၀၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120002, here are decompositions:

  • 19 + 119983 = 120002
  • 31 + 119971 = 120002
  • 73 + 119929 = 120002
  • 79 + 119923 = 120002
  • 151 + 119851 = 120002
  • 163 + 119839 = 120002
  • 193 + 119809 = 120002
  • 229 + 119773 = 120002

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓂
Mathematical Script Small M
U+1D4C2
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 82 (4 bytes).

Hex color
#01D4C2
RGB(1, 212, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.194.

Address
0.1.212.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.194

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 120,002 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120002 first appears in π at position 361,277 of the decimal expansion (the 361,277ordinal-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.