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120,038

120,038 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.).

120,038 (one hundred twenty thousand thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 47 × 1,277. Written other ways, in hexadecimal, 0x1D4E6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
830,021
Recamán's sequence
a(240,020) = 120,038
Square (n²)
14,409,121,444
Cube (n³)
1,729,642,119,894,872
Divisor count
8
σ(n) — sum of divisors
184,032
φ(n) — Euler's totient
58,696
Sum of prime factors
1,326

Primality

Prime factorization: 2 × 47 × 1277

Nearest primes: 120,017 (−21) · 120,041 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 47 · 94 · 1277 · 2554 · 60019 (half) · 120038
Aliquot sum (sum of proper divisors): 63,994
Factor pairs (a × b = 120,038)
1 × 120038
2 × 60019
47 × 2554
94 × 1277
First multiples
120,038 · 240,076 (double) · 360,114 · 480,152 · 600,190 · 720,228 · 840,266 · 960,304 · 1,080,342 · 1,200,380

Sums & aliquot sequence

As consecutive integers: 30,008 + 30,009 + 30,010 + 30,011 2,531 + 2,532 + … + 2,577 545 + 546 + … + 732
Aliquot sequence: 120,038 63,994 47,840 79,168 78,058 42,902 24,898 13,262 7,738 4,250 4,174 2,090 2,230 1,802 1,114 560 928 — unresolved within range

Continued fraction of √n

√120,038 = [346; (2, 6, 1, 1, 1, 4, 4, 2, 1, 2, 14, 2, 1, 2, 4, 4, 1, 1, 1, 6, 2, 692)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand thirty-eight
Ordinal
120038th
Binary
11101010011100110
Octal
352346
Hexadecimal
0x1D4E6
Base64
AdTm
One's complement
4,294,847,257 (32-bit)
Scientific notation
1.20038 × 10⁵
As a duration
120,038 s = 1 day, 9 hours, 20 minutes, 38 seconds
In other bases
ternary (3) 20002122212
quaternary (4) 131103212
quinary (5) 12320123
senary (6) 2323422
septenary (7) 1006652
nonary (9) 202585
undecimal (11) 82206
duodecimal (12) 59572
tridecimal (13) 42839
tetradecimal (14) 31a62
pentadecimal (15) 25878

As an angle

120,038° = 333 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκληʹ
Mayan (base 20)
𝋯·𝋠·𝋡·𝋲
Chinese
一十二萬零三十八
Chinese (financial)
壹拾貳萬零參拾捌
In other modern scripts
Eastern Arabic ١٢٠٠٣٨ Devanagari १२००३८ Bengali ১২০০৩৮ Tamil ௧௨௦௦௩௮ Thai ๑๒๐๐๓๘ Tibetan ༡༢༠༠༣༨ Khmer ១២០០៣៨ Lao ໑໒໐໐໓໘ Burmese ၁၂၀၀၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120038, here are decompositions:

  • 67 + 119971 = 120038
  • 109 + 119929 = 120038
  • 157 + 119881 = 120038
  • 199 + 119839 = 120038
  • 211 + 119827 = 120038
  • 229 + 119809 = 120038
  • 241 + 119797 = 120038
  • 337 + 119701 = 120038

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓦
Mathematical Bold Script Capital W
U+1D4E6
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 A6 (4 bytes).

Hex color
#01D4E6
RGB(1, 212, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.230.

Address
0.1.212.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.230

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 120,038 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 120038 first appears in π at position 394,675 of the decimal expansion (the 394,675ordinal-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.