Live analysis

1,000,968

1,000,968 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.).

1,000,968 (one million nine hundred sixty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 179 × 233. Its proper divisors sum to 1,526,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4608.

Abundant Number Arithmetic Number Evil Number Flippable Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,956 1,000,957 1,000,958 1,000,959 1,000,960 1,000,961 1,000,962 1,000,963 1,000,964 1,000,965 1,000,966 1,000,967 1,000,968 1,000,969 1,000,970 1,000,971 1,000,972 1,000,973 1,000,974 1,000,975 1,000,976 1,000,977 1,000,978 1,000,979 1,000,980

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,690,001
Flips to (rotate 180°): 8,960,001
Square (n²): 1,001,936,937,024
Cube (n³): 1,002,906,811,979,039,232
Divisor count: 32
σ(n) — sum of divisors: 2,527,200
φ(n) — Euler's totient: 330,368
Sum of prime factors: 421

Primality

Prime factorization: 2 ³ × 3 × 179 × 233

Nearest primes: 1,000,931 (−37) · 1,000,969 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 179 · 233 · 358 · 466 · 537 · 699 · 716 · 932 · 1074 · 1398 · 1432 · 1864 · 2148 · 2796 · 4296 · 5592 · 41707 · 83414 · 125121 · 166828 · 250242 · 333656 · 500484 (half) · 1000968

Aliquot sum (sum of proper divisors): 1,526,232

Factor pairs (a × b = 1,000,968)

1 × 1000968

2 × 500484

3 × 333656

4 × 250242

6 × 166828

8 × 125121

12 × 83414

24 × 41707

179 × 5592

233 × 4296

358 × 2796

466 × 2148

537 × 1864

699 × 1432

716 × 1398

932 × 1074

First multiples

1,000,968 · 2,001,936 (double) · 3,002,904 · 4,003,872 · 5,004,840 · 6,005,808 · 7,006,776 · 8,007,744 · 9,008,712 · 10,009,680

Sums & aliquot sequence

As consecutive integers: 333,655 + 333,656 + 333,657 62,553 + 62,554 + … + 62,568 20,830 + 20,831 + … + 20,877 5,503 + 5,504 + … + 5,681

Aliquot sequence: 1,000,968 → 1,526,232 → 2,491,368 → 4,303,992 → 10,003,848 → 15,259,512 → 22,889,328 → 51,522,576 → 111,324,144 → 176,263,352 → 168,600,088 → 147,525,092 → 157,058,908 → 124,030,964 → 93,023,230 → 74,418,602 → 37,209,304 — unresolved within range

Continued fraction of √n

√1,000,968 = [1000; (2, 15, 86, 1, 14, 5, 1, 6, 1, 2, 1, 10, 7, 1, 1, 16, 250, 16, 1, 1, 7, 10, 1, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million nine hundred sixty-eight
Ordinal: 1000968th
Binary: 11110100011000001000
Octal: 3643010
Hexadecimal: 0xF4608
Base64: D0YI
One's complement: 4,293,966,327 (32-bit)
Scientific notation: 1.000968 × 10⁶
As a duration: 1,000,968 s = 11 days, 14 hours, 2 minutes, 48 seconds

In other bases

ternary (3) 1212212001220

quaternary (4) 3310120020

quinary (5) 224012333

senary (6) 33242040

septenary (7) 11336163

nonary (9) 1785056

undecimal (11) 624051

duodecimal (12) 403320

tridecimal (13) 2907b7

tetradecimal (14) 1c0ada

pentadecimal (15) 14b8b3

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零九百六十八
Chinese (financial): 壹佰萬零玖佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٩٦٨ Devanagari १०००९६८ Bengali ১০০০৯৬৮ Tamil ௧௦௦௦௯௬௮ Thai ๑๐๐๐๙๖๘ Tibetan ༡༠༠༠༩༦༨ Khmer ១០០០៩៦៨ Lao ໑໐໐໐໙໖໘ Burmese ၁၀၀၀၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000968, here are decompositions:

37 + 1000931 = 1000968
47 + 1000921 = 1000968
61 + 1000907 = 1000968
79 + 1000889 = 1000968
107 + 1000861 = 1000968
109 + 1000859 = 1000968
139 + 1000829 = 1000968
191 + 1000777 = 1000968

Showing the first eight; more decompositions exist.

Hex color

#0F4608

RGB(15, 70, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.8.

Address: 0.15.70.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.8

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 1,000,968 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 US1,000,968 on Google Patents ↗ Look up on USPTO ↗