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120,522

120,522 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.).

120,522 (one hundred twenty thousand five hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 379. Its proper divisors sum to 125,718, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6CA.

Abundant Number Arithmetic Number Cube-Free Evil Number 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
225,021
Square (n²)
14,525,552,484
Cube (n³)
1,750,648,636,476,648
Divisor count
16
σ(n) — sum of divisors
246,240
φ(n) — Euler's totient
39,312
Sum of prime factors
437

Primality

Prime factorization: 2 × 3 × 53 × 379

Nearest primes: 120,511 (−11) · 120,539 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 53 · 106 · 159 · 318 · 379 · 758 · 1137 · 2274 · 20087 · 40174 · 60261 (half) · 120522
Aliquot sum (sum of proper divisors): 125,718
Factor pairs (a × b = 120,522)
1 × 120522
2 × 60261
3 × 40174
6 × 20087
53 × 2274
106 × 1137
159 × 758
318 × 379
First multiples
120,522 · 241,044 (double) · 361,566 · 482,088 · 602,610 · 723,132 · 843,654 · 964,176 · 1,084,698 · 1,205,220

Sums & aliquot sequence

As consecutive integers: 40,173 + 40,174 + 40,175 30,129 + 30,130 + 30,131 + 30,132 10,038 + 10,039 + … + 10,049 2,248 + 2,249 + … + 2,300
Aliquot sequence: 120,522 125,718 136,938 146,742 155,130 217,254 217,266 288,894 296,466 296,478 498,498 856,254 1,332,546 1,473,054 1,766,826 2,159,574 2,159,586 — unresolved within range

Continued fraction of √n

√120,522 = [347; (6, 6, 1, 114, 1, 6, 6, 694)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred twenty-two
Ordinal
120522nd
Binary
11101011011001010
Octal
353312
Hexadecimal
0x1D6CA
Base64
AdbK
One's complement
4,294,846,773 (32-bit)
Scientific notation
1.20522 × 10⁵
As a duration
120,522 s = 1 day, 9 hours, 28 minutes, 42 seconds
In other bases
ternary (3) 20010022210
quaternary (4) 131123022
quinary (5) 12324042
senary (6) 2325550
septenary (7) 1011243
nonary (9) 203283
undecimal (11) 82606
duodecimal (12) 598b6
tridecimal (13) 42b1c
tetradecimal (14) 31cca
pentadecimal (15) 25a9c

As an angle

120,522° = 334 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκφκβʹ
Mayan (base 20)
𝋯·𝋡·𝋦·𝋢
Chinese
一十二萬零五百二十二
Chinese (financial)
壹拾貳萬零伍佰貳拾貳
In other modern scripts
Eastern Arabic ١٢٠٥٢٢ Devanagari १२०५२२ Bengali ১২০৫২২ Tamil ௧௨௦௫௨௨ Thai ๑๒๐๕๒๒ Tibetan ༡༢༠༥༢༢ Khmer ១២០៥២២ Lao ໑໒໐໕໒໒ Burmese ၁၂၀၅၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120522, here are decompositions:

  • 11 + 120511 = 120522
  • 19 + 120503 = 120522
  • 109 + 120413 = 120522
  • 131 + 120391 = 120522
  • 139 + 120383 = 120522
  • 151 + 120371 = 120522
  • 173 + 120349 = 120522
  • 191 + 120331 = 120522

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛊
Mathematical Bold Small Iota
U+1D6CA
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9B 8A (4 bytes).

Hex color
#01D6CA
RGB(1, 214, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.202.

Address
0.1.214.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.202

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 120,522 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 120522 first appears in π at position 131,140 of the decimal expansion (the 131,140ordinal-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

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