number.wiki
Live analysis

120,054

120,054 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.).

120,054 (one hundred twenty thousand fifty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 17 × 107. Its proper divisors sum to 159,882, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4F6.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
450,021
Recamán's sequence
a(239,988) = 120,054
Square (n²)
14,412,962,916
Cube (n³)
1,730,333,849,917,464
Divisor count
32
σ(n) — sum of divisors
279,936
φ(n) — Euler's totient
33,920
Sum of prime factors
140

Primality

Prime factorization: 2 × 3 × 11 × 17 × 107

Nearest primes: 120,049 (−5) · 120,067 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 17 · 22 · 33 · 34 · 51 · 66 · 102 · 107 · 187 · 214 · 321 · 374 · 561 · 642 · 1122 · 1177 · 1819 · 2354 · 3531 · 3638 · 5457 · 7062 · 10914 · 20009 · 40018 · 60027 (half) · 120054
Aliquot sum (sum of proper divisors): 159,882
Factor pairs (a × b = 120,054)
1 × 120054
2 × 60027
3 × 40018
6 × 20009
11 × 10914
17 × 7062
22 × 5457
33 × 3638
34 × 3531
51 × 2354
66 × 1819
102 × 1177
107 × 1122
187 × 642
214 × 561
321 × 374
First multiples
120,054 · 240,108 (double) · 360,162 · 480,216 · 600,270 · 720,324 · 840,378 · 960,432 · 1,080,486 · 1,200,540

Sums & aliquot sequence

As consecutive integers: 40,017 + 40,018 + 40,019 30,012 + 30,013 + 30,014 + 30,015 10,909 + 10,910 + … + 10,919 9,999 + 10,000 + … + 10,010
Aliquot sequence: 120,054 159,882 159,894 259,434 414,486 483,606 582,498 984,222 1,148,298 1,308,918 1,555,818 1,866,006 2,228,994 2,600,532 4,847,468 3,659,212 2,777,988 — unresolved within range

Continued fraction of √n

√120,054 = [346; (2, 20, 2, 692)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand fifty-four
Ordinal
120054th
Binary
11101010011110110
Octal
352366
Hexadecimal
0x1D4F6
Base64
AdT2
One's complement
4,294,847,241 (32-bit)
Scientific notation
1.20054 × 10⁵
As a duration
120,054 s = 1 day, 9 hours, 20 minutes, 54 seconds
In other bases
ternary (3) 20002200110
quaternary (4) 131103312
quinary (5) 12320204
senary (6) 2323450
septenary (7) 1010004
nonary (9) 202613
undecimal (11) 82220
duodecimal (12) 59586
tridecimal (13) 4284c
tetradecimal (14) 31a74
pentadecimal (15) 25889

As an angle

120,054° = 333 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκνδʹ
Mayan (base 20)
𝋯·𝋠·𝋢·𝋮
Chinese
一十二萬零五十四
Chinese (financial)
壹拾貳萬零伍拾肆
In other modern scripts
Eastern Arabic ١٢٠٠٥٤ Devanagari १२००५४ Bengali ১২০০৫৪ Tamil ௧௨௦௦௫௪ Thai ๑๒๐๐๕๔ Tibetan ༡༢༠༠༥༤ Khmer ១២០០៥៤ Lao ໑໒໐໐໕໔ Burmese ၁၂၀၀၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120054, here are decompositions:

  • 5 + 120049 = 120054
  • 7 + 120047 = 120054
  • 13 + 120041 = 120054
  • 37 + 120017 = 120054
  • 43 + 120011 = 120054
  • 61 + 119993 = 120054
  • 71 + 119983 = 120054
  • 73 + 119981 = 120054

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓶
Mathematical Bold Script Small M
U+1D4F6
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 B6 (4 bytes).

Hex color
#01D4F6
RGB(1, 212, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.246.

Address
0.1.212.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.246

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 120,054 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 120054 first appears in π at position 262,553 of the decimal expansion (the 262,553ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.