Live analysis

120,048

120,048 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.).

120,048 (one hundred twenty thousand forty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 41 × 61. Its proper divisors sum to 202,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4F0.

Abundant Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,036 120,037 120,038 120,039 120,040 120,041 120,042 120,043 120,044 120,045 120,046 120,047 120,048 120,049 120,050 120,051 120,052 120,053 120,054 120,055 120,056 120,057 120,058 120,059 120,060

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 840,021
Recamán's sequence: a(240,000) = 120,048
Square (n²): 14,411,522,304
Cube (n³): 1,730,074,429,550,592
Divisor count: 40
σ(n) — sum of divisors: 322,896
φ(n) — Euler's totient: 38,400
Sum of prime factors: 113

Primality

Prime factorization: 2 ⁴ × 3 × 41 × 61

Nearest primes: 120,047 (−1) · 120,049 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 61 · 82 · 122 · 123 · 164 · 183 · 244 · 246 · 328 · 366 · 488 · 492 · 656 · 732 · 976 · 984 · 1464 · 1968 · 2501 · 2928 · 5002 · 7503 · 10004 · 15006 · 20008 · 30012 · 40016 · 60024 (half) · 120048

Aliquot sum (sum of proper divisors): 202,848

Factor pairs (a × b = 120,048)

1 × 120048

2 × 60024

3 × 40016

4 × 30012

6 × 20008

8 × 15006

12 × 10004

16 × 7503

24 × 5002

41 × 2928

48 × 2501

61 × 1968

82 × 1464

122 × 984

123 × 976

164 × 732

183 × 656

244 × 492

246 × 488

328 × 366

First multiples

120,048 · 240,096 (double) · 360,144 · 480,192 · 600,240 · 720,288 · 840,336 · 960,384 · 1,080,432 · 1,200,480

Sums & aliquot sequence

As consecutive integers: 40,015 + 40,016 + 40,017 3,736 + 3,737 + … + 3,767 2,908 + 2,909 + … + 2,948 1,938 + 1,939 + … + 1,998

Aliquot sequence: 120,048 → 202,848 → 329,880 → 660,120 → 1,320,600 → 2,964,840 → 6,228,120 → 14,300,520 → 32,873,880 → 73,983,480 → 147,967,320 → 322,053,000 → 682,761,720 → 1,388,570,280 → 2,777,140,920 → 5,891,155,080 → 11,782,310,520 — keeps growing

Continued fraction of √n

√120,048 = [346; (2, 11, 1, 1, 1, 11, 2, 692)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand forty-eight
Ordinal: 120048th
Binary: 11101010011110000
Octal: 352360
Hexadecimal: 0x1D4F0
Base64: AdTw
One's complement: 4,294,847,247 (32-bit)
Scientific notation: 1.20048 × 10⁵
As a duration: 120,048 s = 1 day, 9 hours, 20 minutes, 48 seconds

In other bases

ternary (3) 20002200020

quaternary (4) 131103300

quinary (5) 12320143

senary (6) 2323440

septenary (7) 1006665

nonary (9) 202606

undecimal (11) 82215

duodecimal (12) 59580

tridecimal (13) 42846

tetradecimal (14) 31a6c

pentadecimal (15) 25883

As an angle

120,048° = 333 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκμηʹ
Mayan (base 20): 𝋯·𝋠·𝋢·𝋨
Chinese: 一十二萬零四十八
Chinese (financial): 壹拾貳萬零肆拾捌

In other modern scripts

Eastern Arabic ١٢٠٠٤٨ Devanagari १२००४८ Bengali ১২০০৪৮ Tamil ௧௨௦௦௪௮ Thai ๑๒๐๐๔๘ Tibetan ༡༢༠༠༤༨ Khmer ១២០០៤៨ Lao ໑໒໐໐໔໘ Burmese ၁၂၀၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120048, here are decompositions:

7 + 120041 = 120048
31 + 120017 = 120048
37 + 120011 = 120048
67 + 119981 = 120048
127 + 119921 = 120048
157 + 119891 = 120048
167 + 119881 = 120048
179 + 119869 = 120048

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓰

Mathematical Bold Script Small G

U+1D4F0

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 B0 (4 bytes).

Lookup U+1D4F0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4F0

RGB(1, 212, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.240.

Address: 0.1.212.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.240

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 120,048 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 US120,048 on Google Patents ↗ Look up on USPTO ↗