Live analysis

100,008

100,008 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.).

100,008 (one hundred thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 463. Its proper divisors sum to 178,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x186A8.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

99,996 99,997 99,998 99,999 100,000 100,001 100,002 100,003 100,004 100,005 100,006 100,007 100,008 100,009 100,010 100,011 100,012 100,013 100,014 100,015 100,016 100,017 100,018 100,019 100,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 800,001
Flips to (rotate 180°): 800,001
Recamán's sequence: a(255,824) = 100,008
Square (n²): 10,001,600,064
Cube (n³): 1,000,240,019,200,512
Divisor count: 32
σ(n) — sum of divisors: 278,400
φ(n) — Euler's totient: 33,264
Sum of prime factors: 478

Primality

Prime factorization: 2 ³ × 3 ³ × 463

Nearest primes: 100,003 (−5) · 100,019 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 463 · 926 · 1389 · 1852 · 2778 · 3704 · 4167 · 5556 · 8334 · 11112 · 12501 · 16668 · 25002 · 33336 · 50004 (half) · 100008

Aliquot sum (sum of proper divisors): 178,392

Factor pairs (a × b = 100,008)

1 × 100008

2 × 50004

3 × 33336

4 × 25002

6 × 16668

8 × 12501

9 × 11112

12 × 8334

18 × 5556

24 × 4167

27 × 3704

36 × 2778

54 × 1852

72 × 1389

108 × 926

216 × 463

First multiples

100,008 · 200,016 (double) · 300,024 · 400,032 · 500,040 · 600,048 · 700,056 · 800,064 · 900,072 · 1,000,080

Sums & aliquot sequence

As consecutive integers: 33,335 + 33,336 + 33,337 11,108 + 11,109 + … + 11,116 6,243 + 6,244 + … + 6,258 3,691 + 3,692 + … + 3,717

Aliquot sequence: 100,008 → 178,392 → 267,648 → 503,472 → 875,904 → 1,451,736 → 3,386,664 → 6,021,336 → 9,032,064 → 15,562,176 → 31,498,944 → 51,842,520 → 131,632,200 → 391,429,560 → 831,072,840 → 1,853,936,760 → 4,229,422,440 — unresolved within range

Continued fraction of √n

√100,008 = [316; (4, 6, 3, 1, 2, 3, 2, 1, 1, 1, 2, 2, 2, 1, 8, 4, 1, 69, 2, 8, 5, 1, 26, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred thousand eight
Ordinal: 100008th
Binary: 11000011010101000
Octal: 303250
Hexadecimal: 0x186A8
Base64: AYao
One's complement: 4,294,867,287 (32-bit)
Scientific notation: 1.00008 × 10⁵
As a duration: 100,008 s = 1 day, 3 hours, 46 minutes, 48 seconds

In other bases

ternary (3) 12002012000

quaternary (4) 120122220

quinary (5) 11200013

senary (6) 2051000

septenary (7) 564366

nonary (9) 162160

undecimal (11) 69157

duodecimal (12) 49a60

tridecimal (13) 3669c

tetradecimal (14) 28636

pentadecimal (15) 1e973

As an angle

100,008° = 277 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρηʹ
Mayan (base 20): 𝋬·𝋪·𝋠·𝋨
Chinese: 一十萬零八
Chinese (financial): 壹拾萬零捌

In other modern scripts

Eastern Arabic ١٠٠٠٠٨ Devanagari १००००८ Bengali ১০০০০৮ Tamil ௧௦௦௦௦௮ Thai ๑๐๐๐๐๘ Tibetan ༡༠༠༠༠༨ Khmer ១០០០០៨ Lao ໑໐໐໐໐໘ Burmese ၁၀၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100008, here are decompositions:

5 + 100003 = 100008
17 + 99991 = 100008
19 + 99989 = 100008
37 + 99971 = 100008
47 + 99961 = 100008
79 + 99929 = 100008
101 + 99907 = 100008
107 + 99901 = 100008

Showing the first eight; more decompositions exist.

Unicode codepoint

𘚨

Tangut Ideograph-186A8

U+186A8

Other letter (Lo)

UTF-8 encoding: F0 98 9A A8 (4 bytes).

Lookup U+186A8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0186A8

RGB(1, 134, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.168.

Address: 0.1.134.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.134.168

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 100,008 and was likely granted around 1870.

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

Look up US100,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 100008 first appears in π at position 764,792 of the decimal expansion (the 764,792ordinal-suffix:nd 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 100008 on Pi Search ↗