Live analysis

1,010,964

1,010,964 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.).

1,010,964 (one million ten thousand nine hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,247. Its proper divisors sum to 1,347,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D14.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,010,952 1,010,953 1,010,954 1,010,955 1,010,956 1,010,957 1,010,958 1,010,959 1,010,960 1,010,961 1,010,962 1,010,963 1,010,964 1,010,965 1,010,966 1,010,967 1,010,968 1,010,969 1,010,970 1,010,971 1,010,972 1,010,973 1,010,974 1,010,975 1,010,976

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,690,101
Recamán's sequence: a(360,207) = 1,010,964
Square (n²): 1,022,048,209,296
Cube (n³): 1,033,253,945,862,721,344
Divisor count: 12
σ(n) — sum of divisors: 2,358,944
φ(n) — Euler's totient: 336,984
Sum of prime factors: 84,254

Primality

Prime factorization: 2 ² × 3 × 84247

Nearest primes: 1,010,957 (−7) · 1,010,981 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 84247 · 168494 · 252741 · 336988 · 505482 (half) · 1010964

Aliquot sum (sum of proper divisors): 1,347,980

Factor pairs (a × b = 1,010,964)

1 × 1010964

2 × 505482

3 × 336988

4 × 252741

6 × 168494

12 × 84247

First multiples

1,010,964 · 2,021,928 (double) · 3,032,892 · 4,043,856 · 5,054,820 · 6,065,784 · 7,076,748 · 8,087,712 · 9,098,676 · 10,109,640

Sums & aliquot sequence

As consecutive integers: 336,987 + 336,988 + 336,989 126,367 + 126,368 + … + 126,374 42,112 + 42,113 + … + 42,135

Aliquot sequence: 1,010,964 → 1,347,980 → 1,482,820 → 1,658,108 → 1,270,972 → 953,236 → 726,092 → 544,576 → 560,832 → 999,744 → 1,731,264 → 2,950,464 → 5,697,728 → 5,713,984 → 6,640,576 → 7,664,704 → 8,721,344 — unresolved within range

Continued fraction of √n

√1,010,964 = [1005; (2, 7, 11, 3, 2, 2, 1, 1, 1, 1, 2, 1, 3, 5, 1, 1, 24, 1, 1, 2, 5, 1, 1, 1, …)]

Representations

In words: one million ten thousand nine hundred sixty-four
Ordinal: 1010964th
Binary: 11110110110100010100
Octal: 3666424
Hexadecimal: 0xF6D14
Base64: D20U
One's complement: 4,293,956,331 (32-bit)
Scientific notation: 1.010964 × 10⁶
As a duration: 1,010,964 s = 11 days, 16 hours, 49 minutes, 24 seconds

In other bases

ternary (3) 1220100210010

quaternary (4) 3312310110

quinary (5) 224322324

senary (6) 33400220

septenary (7) 11410263

nonary (9) 1810703

undecimal (11) 630609

duodecimal (12) 409070

tridecimal (13) 295206

tetradecimal (14) 1c45da

pentadecimal (15) 14e829

As an angle

1,010,964° = 2,808 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零九百六十四
Chinese (financial): 壹佰零壹萬零玖佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٠٩٦٤ Devanagari १०१०९६४ Bengali ১০১০৯৬৪ Tamil ௧௦௧௦௯௬௪ Thai ๑๐๑๐๙๖๔ Tibetan ༡༠༡༠༩༦༤ Khmer ១០១០៩៦៤ Lao ໑໐໑໐໙໖໔ Burmese ၁၀၁၀၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010964, here are decompositions:

7 + 1010957 = 1010964
47 + 1010917 = 1010964
61 + 1010903 = 1010964
67 + 1010897 = 1010964
83 + 1010881 = 1010964
103 + 1010861 = 1010964
131 + 1010833 = 1010964
167 + 1010797 = 1010964

Showing the first eight; more decompositions exist.

Hex color

#0F6D14

RGB(15, 109, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.20.

Address: 0.15.109.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.20

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 0964 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0964-10-01 (MMDYYYY (US, single-digit day))
0964-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,964 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 US1,010,964 on Google Patents ↗ Look up on USPTO ↗