Live analysis

120,050

120,050 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.).

120,050 (one hundred twenty thousand fifty) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2 × 5² × 7⁴. Its proper divisors sum to 140,443, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4F2.

Abundant Number Evil Number Frugal Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,038 120,039 120,040 120,041 120,042 120,043 120,044 120,045 120,046 120,047 120,048 120,049 120,050 120,051 120,052 120,053 120,054 120,055 120,056 120,057 120,058 120,059 120,060 120,061 120,062

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 50,021
Recamán's sequence: a(239,996) = 120,050
Square (n²): 14,412,002,500
Cube (n³): 1,730,160,900,125,000
Divisor count: 30
σ(n) — sum of divisors: 260,493
φ(n) — Euler's totient: 41,160
Sum of prime factors: 40

Primality

Prime factorization: 2 × 5 ² × 7 ⁴

Nearest primes: 120,049 (−1) · 120,067 (+17)

Divisors & multiples

All divisors (30)

1 · 2 · 5 · 7 · 10 · 14 · 25 · 35 · 49 · 50 · 70 · 98 · 175 · 245 · 343 · 350 · 490 · 686 · 1225 · 1715 · 2401 · 2450 · 3430 · 4802 · 8575 · 12005 · 17150 · 24010 · 60025 (half) · 120050

Aliquot sum (sum of proper divisors): 140,443

Factor pairs (a × b = 120,050)

1 × 120050

2 × 60025

5 × 24010

7 × 17150

10 × 12005

14 × 8575

25 × 4802

35 × 3430

49 × 2450

50 × 2401

70 × 1715

98 × 1225

175 × 686

245 × 490

343 × 350

First multiples

120,050 · 240,100 (double) · 360,150 · 480,200 · 600,250 · 720,300 · 840,350 · 960,400 · 1,080,450 · 1,200,500

Sums & aliquot sequence

As a sum of two squares: 49² + 343² = 245² + 245²

As consecutive integers: 30,011 + 30,012 + 30,013 + 30,014 24,008 + 24,009 + 24,010 + 24,011 + 24,012 17,147 + 17,148 + … + 17,153 5,993 + 5,994 + … + 6,012

Aliquot sequence: 120,050 → 140,443 → 1 → 0 — terminates at zero

Continued fraction of √n

√120,050 = [346; (2, 13, 1, 1, 1, 3, 1, 13, 2, 1, 4, 13, 1, 12, 1, 13, 4, 1, 2, 13, 1, 3, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand fifty
Ordinal: 120050th
Binary: 11101010011110010
Octal: 352362
Hexadecimal: 0x1D4F2
Base64: AdTy
One's complement: 4,294,847,245 (32-bit)
Scientific notation: 1.2005 × 10⁵
As a duration: 120,050 s = 1 day, 9 hours, 20 minutes, 50 seconds

In other bases

ternary (3) 20002200022

quaternary (4) 131103302

quinary (5) 12320200

senary (6) 2323442

septenary (7) 1010000

nonary (9) 202608

undecimal (11) 82217

duodecimal (12) 59582

tridecimal (13) 42848

tetradecimal (14) 31a70

pentadecimal (15) 25885

As an angle

120,050° = 333 × 360° + 170°

170° ≈ 2.967 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκνʹ
Mayan (base 20): 𝋯·𝋠·𝋢·𝋪
Chinese: 一十二萬零五十
Chinese (financial): 壹拾貳萬零伍拾

In other modern scripts

Eastern Arabic ١٢٠٠٥٠ Devanagari १२००५० Bengali ১২০০৫০ Tamil ௧௨௦௦௫௦ Thai ๑๒๐๐๕๐ Tibetan ༡༢༠༠༥༠ Khmer ១២០០៥០ Lao ໑໒໐໐໕໐ Burmese ၁၂၀၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120050, here are decompositions:

3 + 120047 = 120050
67 + 119983 = 120050
79 + 119971 = 120050
97 + 119953 = 120050
127 + 119923 = 120050
181 + 119869 = 120050
199 + 119851 = 120050
211 + 119839 = 120050

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓲

Mathematical Bold Script Small I

U+1D4F2

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 B2 (4 bytes).

Lookup U+1D4F2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4F2

RGB(1, 212, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.242.

Address: 0.1.212.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.242

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 120,050 and was likely granted around 1871.

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

Look up US120,050 on Google Patents ↗ Look up on USPTO ↗