Live analysis

1,008,100

1,008,100 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.).

1,008,100 (one million eight thousand one hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 17 × 593. Its proper divisors sum to 1,312,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61E4.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,008,088 1,008,089 1,008,090 1,008,091 1,008,092 1,008,093 1,008,094 1,008,095 1,008,096 1,008,097 1,008,098 1,008,099 1,008,100 1,008,101 1,008,102 1,008,103 1,008,104 1,008,105 1,008,106 1,008,107 1,008,108 1,008,109 1,008,110 1,008,111 1,008,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 18,001
Flips to (rotate 180°): 18,001
Recamán's sequence: a(349,251) = 1,008,100
Square (n²): 1,016,265,610,000
Cube (n³): 1,024,497,361,441,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,320,164
φ(n) — Euler's totient: 378,880
Sum of prime factors: 624

Primality

Prime factorization: 2 ² × 5 ² × 17 × 593

Nearest primes: 1,008,043 (−57) · 1,008,101 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 17 · 20 · 25 · 34 · 50 · 68 · 85 · 100 · 170 · 340 · 425 · 593 · 850 · 1186 · 1700 · 2372 · 2965 · 5930 · 10081 · 11860 · 14825 · 20162 · 29650 · 40324 · 50405 · 59300 · 100810 · 201620 · 252025 · 504050 (half) · 1008100

Aliquot sum (sum of proper divisors): 1,312,064

Factor pairs (a × b = 1,008,100)

1 × 1008100

2 × 504050

4 × 252025

5 × 201620

10 × 100810

17 × 59300

20 × 50405

25 × 40324

34 × 29650

50 × 20162

68 × 14825

85 × 11860

100 × 10081

170 × 5930

340 × 2965

425 × 2372

593 × 1700

850 × 1186

First multiples

1,008,100 · 2,016,200 (double) · 3,024,300 · 4,032,400 · 5,040,500 · 6,048,600 · 7,056,700 · 8,064,800 · 9,072,900 · 10,081,000

Sums & aliquot sequence

As a sum of two squares: 64² + 1,002² = 90² + 1,000² = 342² + 944² = 528² + 854²

As consecutive integers: 201,618 + 201,619 + 201,620 + 201,621 + 201,622 126,009 + 126,010 + … + 126,016 59,292 + 59,293 + … + 59,308 40,312 + 40,313 + … + 40,336

Aliquot sequence: 1,008,100 → 1,312,064 → 1,674,976 → 1,817,744 → 1,741,552 → 1,673,408 → 1,950,664 → 1,742,036 → 1,316,992 → 1,306,958 → 671,170 → 567,158 → 283,582 → 177,578 → 88,792 → 93,008 → 87,226 — unresolved within range

Continued fraction of √n

√1,008,100 = [1004; (23, 1, 9, 1, 1, 4, 33, 1, 4, 2, 1, 1, 1, 1, 11, 7, 1, 3, 7, 1, 1, 2, 2, 2, …)]

Representations

In words: one million eight thousand one hundred
Ordinal: 1008100th
Binary: 11110110000111100100
Octal: 3660744
Hexadecimal: 0xF61E4
Base64: D2Hk
One's complement: 4,293,959,195 (32-bit)
Scientific notation: 1.0081 × 10⁶
As a duration: 1,008,100 s = 11 days, 16 hours, 1 minute, 40 seconds

In other bases

ternary (3) 1220012212001

quaternary (4) 3312013210

quinary (5) 224224400

senary (6) 33335044

septenary (7) 11366032

nonary (9) 1805761

undecimal (11) 629445

duodecimal (12) 407484

tridecimal (13) 293b12

tetradecimal (14) 1c3552

pentadecimal (15) 14da6a

As an angle

1,008,100° = 2,800 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Chinese: 一百萬八千一百
Chinese (financial): 壹佰萬捌仟壹佰

In other modern scripts

Eastern Arabic ١٠٠٨١٠٠ Devanagari १००८१०० Bengali ১০০৮১০০ Tamil ௧௦௦௮௧௦௦ Thai ๑๐๐๘๑๐๐ Tibetan ༡༠༠༨༡༠༠ Khmer ១០០៨១០០ Lao ໑໐໐໘໑໐໐ Burmese ၁၀၀၈၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008100, here are decompositions:

59 + 1008041 = 1008100
83 + 1008017 = 1008100
167 + 1007933 = 1008100
179 + 1007921 = 1008100
227 + 1007873 = 1008100
239 + 1007861 = 1008100
281 + 1007819 = 1008100
293 + 1007807 = 1008100

Showing the first eight; more decompositions exist.

Hex color

#0F61E4

RGB(15, 97, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.228.

Address: 0.15.97.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.228

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 1,008,100 and was likely granted around 1911.

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

Look up US1,008,100 on Google Patents ↗ Look up on USPTO ↗