Live analysis

100,010

100,010 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.).

100,010 (one hundred thousand ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 73 × 137. Written other ways, in hexadecimal, 0x186AA.

Cube-Free Deficient Number Evil Number Flippable Gapful Number Harshad / Niven Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

99,998 99,999 100,000 100,001 100,002 100,003 100,004 100,005 100,006 100,007 100,008 100,009 100,010 100,011 100,012 100,013 100,014 100,015 100,016 100,017 100,018 100,019 100,020 100,021 100,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 10,001
Flips to (rotate 180°): 10,001
Recamán's sequence: a(255,820) = 100,010
Square (n²): 10,002,000,100
Cube (n³): 1,000,300,030,001,000
Divisor count: 16
σ(n) — sum of divisors: 183,816
φ(n) — Euler's totient: 39,168
Sum of prime factors: 217

Primality

Prime factorization: 2 × 5 × 73 × 137

Nearest primes: 100,003 (−7) · 100,019 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 10 · 73 · 137 · 146 · 274 · 365 · 685 · 730 · 1370 · 10001 · 20002 · 50005 (half) · 100010

Aliquot sum (sum of proper divisors): 83,806

Factor pairs (a × b = 100,010)

1 × 100010

2 × 50005

5 × 20002

10 × 10001

73 × 1370

137 × 730

146 × 685

274 × 365

First multiples

100,010 · 200,020 (double) · 300,030 · 400,040 · 500,050 · 600,060 · 700,070 · 800,080 · 900,090 · 1,000,100

Sums & aliquot sequence

As a sum of two squares: 97² + 301² = 103² + 299² = 119² + 293² = 163² + 271²

As consecutive integers: 25,001 + 25,002 + 25,003 + 25,004 20,000 + 20,001 + 20,002 + 20,003 + 20,004 4,991 + 4,992 + … + 5,010 1,334 + 1,335 + … + 1,406

Aliquot sequence: 100,010 → 83,806 → 41,906 → 23,758 → 16,994 → 9,466 → 4,736 → 4,954 → 2,480 → 3,472 → 4,464 → 8,432 → 9,424 → 10,416 → 21,328 → 22,320 → 55,056 — unresolved within range

Continued fraction of √n

√100,010 = [316; (4, 9, 2, 12, 2, 3, 3, 1, 4, 1, 1, 4, 1, 2, 8, 5, 5, 8, 2, 1, 4, 1, 1, 4, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words: one hundred thousand ten
Ordinal: 100010th
Binary: 11000011010101010
Octal: 303252
Hexadecimal: 0x186AA
Base64: AYaq
One's complement: 4,294,867,285 (32-bit)
Scientific notation: 1.0001 × 10⁵
As a duration: 100,010 s = 1 day, 3 hours, 46 minutes, 50 seconds

In other bases

ternary (3) 12002012002

quaternary (4) 120122222

quinary (5) 11200020

senary (6) 2051002

septenary (7) 564401

nonary (9) 162162

undecimal (11) 69159

duodecimal (12) 49a62

tridecimal (13) 366a1

tetradecimal (14) 28638

pentadecimal (15) 1e975

As an angle

100,010° = 277 × 360° + 290°

290° ≈ 5.061 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓎆
Greek (Milesian): ͵ριʹ
Mayan (base 20): 𝋬·𝋪·𝋠·𝋪
Chinese: 一十萬零一十
Chinese (financial): 壹拾萬零壹拾

In other modern scripts

Eastern Arabic ١٠٠٠١٠ Devanagari १०००१० Bengali ১০০০১০ Tamil ௧௦௦௦௧௦ Thai ๑๐๐๐๑๐ Tibetan ༡༠༠༠༡༠ Khmer ១០០០១០ Lao ໑໐໐໐໑໐ Burmese ၁၀၀၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100010, here are decompositions:

7 + 100003 = 100010
19 + 99991 = 100010
103 + 99907 = 100010
109 + 99901 = 100010
139 + 99871 = 100010
151 + 99859 = 100010
181 + 99829 = 100010
193 + 99817 = 100010

Showing the first eight; more decompositions exist.

Unicode codepoint

𘚪

Tangut Ideograph-186Aa

U+186AA

Other letter (Lo)

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

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

Hex color

#0186AA

RGB(1, 134, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.170.

Address: 0.1.134.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.134.170

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 100,010 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 US100,010 on Google Patents ↗ Look up on USPTO ↗