Live analysis

1,008,168

1,008,168 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.).

1,008,168 (one million eight thousand one hundred sixty-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 17 × 353. Its proper divisors sum to 2,050,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6228.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,156 1,008,157 1,008,158 1,008,159 1,008,160 1,008,161 1,008,162 1,008,163 1,008,164 1,008,165 1,008,166 1,008,167 1,008,168 1,008,169 1,008,170 1,008,171 1,008,172 1,008,173 1,008,174 1,008,175 1,008,176 1,008,177 1,008,178 1,008,179 1,008,180

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,618,001
Flips to (rotate 180°): 8,918,001
Recamán's sequence: a(349,115) = 1,008,168
Square (n²): 1,016,402,716,224
Cube (n³): 1,024,704,693,610,117,632
Divisor count: 64
σ(n) — sum of divisors: 3,058,560
φ(n) — Euler's totient: 270,336
Sum of prime factors: 386

Primality

Prime factorization: 2 ³ × 3 × 7 × 17 × 353

Nearest primes: 1,008,157 (−11) · 1,008,181 (+13)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 17 · 21 · 24 · 28 · 34 · 42 · 51 · 56 · 68 · 84 · 102 · 119 · 136 · 168 · 204 · 238 · 353 · 357 · 408 · 476 · 706 · 714 · 952 · 1059 · 1412 · 1428 · 2118 · 2471 · 2824 · 2856 · 4236 · 4942 · 6001 · 7413 · 8472 · 9884 · 12002 · 14826 · 18003 · 19768 · 24004 · 29652 · 36006 · 42007 · 48008 · 59304 · 72012 · 84014 · 126021 · 144024 · 168028 · 252042 · 336056 · 504084 (half) · 1008168

Aliquot sum (sum of proper divisors): 2,050,392

Factor pairs (a × b = 1,008,168)

1 × 1008168

2 × 504084

3 × 336056

4 × 252042

6 × 168028

7 × 144024

8 × 126021

12 × 84014

14 × 72012

17 × 59304

21 × 48008

24 × 42007

28 × 36006

34 × 29652

42 × 24004

51 × 19768

56 × 18003

68 × 14826

84 × 12002

102 × 9884

119 × 8472

136 × 7413

168 × 6001

204 × 4942

238 × 4236

353 × 2856

357 × 2824

408 × 2471

476 × 2118

706 × 1428

714 × 1412

952 × 1059

First multiples

1,008,168 · 2,016,336 (double) · 3,024,504 · 4,032,672 · 5,040,840 · 6,049,008 · 7,057,176 · 8,065,344 · 9,073,512 · 10,081,680

Sums & aliquot sequence

As consecutive integers: 336,055 + 336,056 + 336,057 144,021 + 144,022 + … + 144,027 63,003 + 63,004 + … + 63,018 59,296 + 59,297 + … + 59,312

Aliquot sequence: 1,008,168 → 2,050,392 → 3,216,408 → 5,637,192 → 9,949,368 → 19,564,872 → 31,540,728 → 50,740,872 → 108,220,728 → 232,149,192 → 400,985,688 → 601,478,592 → 1,368,260,928 → 2,559,369,012 → 3,412,492,044 → 5,166,178,644 → 8,516,558,508 — unresolved within range

Continued fraction of √n

√1,008,168 = [1004; (13, 4, 1, 2, 1, 4, 1, 4, 1, 2, 1, 4, 13, 2008)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand one hundred sixty-eight
Ordinal: 1008168th
Binary: 11110110001000101000
Octal: 3661050
Hexadecimal: 0xF6228
Base64: D2Io
One's complement: 4,293,959,127 (32-bit)
Scientific notation: 1.008168 × 10⁶
As a duration: 1,008,168 s = 11 days, 16 hours, 2 minutes, 48 seconds

In other bases

ternary (3) 1220012221120

quaternary (4) 3312020220

quinary (5) 224230133

senary (6) 33335240

septenary (7) 11366160

nonary (9) 1805846

undecimal (11) 6294a7

duodecimal (12) 407520

tridecimal (13) 293b65

tetradecimal (14) 1c35a0

pentadecimal (15) 14dab3

As an angle

1,008,168° = 2,800 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千一百六十八
Chinese (financial): 壹佰萬捌仟壹佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٨١٦٨ Devanagari १००८१६८ Bengali ১০০৮১৬৮ Tamil ௧௦௦௮௧௬௮ Thai ๑๐๐๘๑๖๘ Tibetan ༡༠༠༨༡༦༨ Khmer ១០០៨១៦៨ Lao ໑໐໐໘໑໖໘ Burmese ၁၀၀၈၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008168, here are decompositions:

11 + 1008157 = 1008168
37 + 1008131 = 1008168
67 + 1008101 = 1008168
127 + 1008041 = 1008168
131 + 1008037 = 1008168
137 + 1008031 = 1008168
151 + 1008017 = 1008168
167 + 1008001 = 1008168

Showing the first eight; more decompositions exist.

Hex color

#0F6228

RGB(15, 98, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.40.

Address: 0.15.98.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.40

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 1,008,168 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 US1,008,168 on Google Patents ↗ Look up on USPTO ↗