Live analysis

123,006

123,006 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.).

123,006 (one hundred twenty-three thousand six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 19 × 83. Its proper divisors sum to 159,234, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E07E.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

122,994 122,995 122,996 122,997 122,998 122,999 123,000 123,001 123,002 123,003 123,004 123,005 123,006 123,007 123,008 123,009 123,010 123,011 123,012 123,013 123,014 123,015 123,016 123,017 123,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 600,321
Square (n²): 15,130,476,036
Cube (n³): 1,861,139,335,284,216
Divisor count: 32
σ(n) — sum of divisors: 282,240
φ(n) — Euler's totient: 35,424
Sum of prime factors: 120

Primality

Prime factorization: 2 × 3 × 13 × 19 × 83

Nearest primes: 123,001 (−5) · 123,007 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 19 · 26 · 38 · 39 · 57 · 78 · 83 · 114 · 166 · 247 · 249 · 494 · 498 · 741 · 1079 · 1482 · 1577 · 2158 · 3154 · 3237 · 4731 · 6474 · 9462 · 20501 · 41002 · 61503 (half) · 123006

Aliquot sum (sum of proper divisors): 159,234

Factor pairs (a × b = 123,006)

1 × 123006

2 × 61503

3 × 41002

6 × 20501

13 × 9462

19 × 6474

26 × 4731

38 × 3237

39 × 3154

57 × 2158

78 × 1577

83 × 1482

114 × 1079

166 × 741

247 × 498

249 × 494

First multiples

123,006 · 246,012 (double) · 369,018 · 492,024 · 615,030 · 738,036 · 861,042 · 984,048 · 1,107,054 · 1,230,060

Sums & aliquot sequence

As consecutive integers: 41,001 + 41,002 + 41,003 30,750 + 30,751 + 30,752 + 30,753 10,245 + 10,246 + … + 10,256 9,456 + 9,457 + … + 9,468

Aliquot sequence: 123,006 → 159,234 → 159,246 → 197,946 → 292,518 → 357,642 → 463,158 → 578,610 → 965,070 → 1,544,346 → 1,916,496 → 3,447,434 → 1,733,014 → 1,019,474 → 509,740 → 828,884 → 858,886 — unresolved within range

Continued fraction of √n

√123,006 = [350; (1, 2, 1, 1, 2, 27, 1, 2, 49, 1, 3, 3, 1, 2, 4, 1, 1, 5, 4, 14, 13, 6, 13, 14, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-three thousand six
Ordinal: 123006th
Binary: 11110000001111110
Octal: 360176
Hexadecimal: 0x1E07E
Base64: AeB+
One's complement: 4,294,844,289 (32-bit)
Scientific notation: 1.23006 × 10⁵
As a duration: 123,006 s = 1 day, 10 hours, 10 minutes, 6 seconds

In other bases

ternary (3) 20020201210

quaternary (4) 132001332

quinary (5) 12414011

senary (6) 2345250

septenary (7) 1021422

nonary (9) 206653

undecimal (11) 84464

duodecimal (12) 5b226

tridecimal (13) 43cb0

tetradecimal (14) 32b82

pentadecimal (15) 266a6

As an angle

123,006° = 341 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκγϛʹ
Mayan (base 20): 𝋯·𝋧·𝋪·𝋦
Chinese: 一十二萬三千零六
Chinese (financial): 壹拾貳萬參仟零陸

In other modern scripts

Eastern Arabic ١٢٣٠٠٦ Devanagari १२३००६ Bengali ১২৩০০৬ Tamil ௧௨௩௦௦௬ Thai ๑๒๓๐๐๖ Tibetan ༡༢༣༠༠༦ Khmer ១២៣០០៦ Lao ໑໒໓໐໐໖ Burmese ၁၂၃၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123006, here are decompositions:

5 + 123001 = 123006
43 + 122963 = 123006
53 + 122953 = 123006
67 + 122939 = 123006
137 + 122869 = 123006
139 + 122867 = 123006
157 + 122849 = 123006
167 + 122839 = 123006

Showing the first eight; more decompositions exist.

Hex color

#01E07E

RGB(1, 224, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.126.

Address: 0.1.224.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.126

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 123,006 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 US123,006 on Google Patents ↗ Look up on USPTO ↗