Live analysis

123,008

123,008 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.).

123,008 (one hundred twenty-three thousand eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁷ × 31². Its proper divisors sum to 130,207, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E080.

Abundant Number Achilles Number Frugal Number Odious Number Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

122,996 122,997 122,998 122,999 123,000 123,001 123,002 123,003 123,004 123,005 123,006 123,007 123,008 123,009 123,010 123,011 123,012 123,013 123,014 123,015 123,016 123,017 123,018 123,019 123,020

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 800,321
Square (n²): 15,130,968,064
Cube (n³): 1,861,230,119,616,512
Divisor count: 24
σ(n) — sum of divisors: 253,215
φ(n) — Euler's totient: 59,520
Sum of prime factors: 76

Primality

Prime factorization: 2 ⁷ × 31 ²

Nearest primes: 123,007 (−1) · 123,017 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 64 · 124 · 128 · 248 · 496 · 961 · 992 · 1922 · 1984 · 3844 · 3968 · 7688 · 15376 · 30752 · 61504 (half) · 123008

Aliquot sum (sum of proper divisors): 130,207

Factor pairs (a × b = 123,008)

1 × 123008

2 × 61504

4 × 30752

8 × 15376

16 × 7688

31 × 3968

32 × 3844

62 × 1984

64 × 1922

124 × 992

128 × 961

248 × 496

First multiples

123,008 · 246,016 (double) · 369,024 · 492,032 · 615,040 · 738,048 · 861,056 · 984,064 · 1,107,072 · 1,230,080

Sums & aliquot sequence

As a sum of two squares: 248² + 248²

As consecutive integers: 3,953 + 3,954 + … + 3,983 353 + 354 + … + 608

Aliquot sequence: 123,008 → 130,207 → 42,593 → 415 → 89 → 1 → 0 — terminates at zero

Continued fraction of √n

√123,008 = [350; (1, 2, 1, 1, 1, 2, 1, 16, 2, 1, 1, 1, 1, 4, 1, 6, 2, 2, 3, 1, 3, 1, 6, 1, …)]

Representations

In words: one hundred twenty-three thousand eight
Ordinal: 123008th
Binary: 11110000010000000
Octal: 360200
Hexadecimal: 0x1E080
Base64: AeCA
One's complement: 4,294,844,287 (32-bit)
Scientific notation: 1.23008 × 10⁵
As a duration: 123,008 s = 1 day, 10 hours, 10 minutes, 8 seconds

In other bases

ternary (3) 20020201212

quaternary (4) 132002000

quinary (5) 12414013

senary (6) 2345252

septenary (7) 1021424

nonary (9) 206655

undecimal (11) 84466

duodecimal (12) 5b228

tridecimal (13) 43cb2

tetradecimal (14) 32b84

pentadecimal (15) 266a8

As an angle

123,008° = 341 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκγηʹ
Mayan (base 20): 𝋯·𝋧·𝋪·𝋨
Chinese: 一十二萬三千零八
Chinese (financial): 壹拾貳萬參仟零捌

In other modern scripts

Eastern Arabic ١٢٣٠٠٨ Devanagari १२३००८ Bengali ১২৩০০৮ Tamil ௧௨௩௦௦௮ Thai ๑๒๓๐๐๘ Tibetan ༡༢༣༠༠༨ Khmer ១២៣០០៨ Lao ໑໒໓໐໐໘ Burmese ၁၂၃၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123008, here are decompositions:

7 + 123001 = 123008
37 + 122971 = 123008
79 + 122929 = 123008
139 + 122869 = 123008
181 + 122827 = 123008
307 + 122701 = 123008
397 + 122611 = 123008
409 + 122599 = 123008

Showing the first eight; more decompositions exist.

Hex color

#01E080

RGB(1, 224, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.128.

Address: 0.1.224.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.224.128

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 123,008 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 US123,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 123008 first appears in π at position 660,887 of the decimal expansion (the 660,887ordinal-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.

Look up 123008 on Pi Search ↗