Live analysis

1,006,964

1,006,964 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.).

1,006,964 (one million six thousand nine hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 35,963. Its proper divisors sum to 1,007,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D74.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,952 1,006,953 1,006,954 1,006,955 1,006,956 1,006,957 1,006,958 1,006,959 1,006,960 1,006,961 1,006,962 1,006,963 1,006,964 1,006,965 1,006,966 1,006,967 1,006,968 1,006,969 1,006,970 1,006,971 1,006,972 1,006,973 1,006,974 1,006,975 1,006,976

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,696,001
Square (n²): 1,013,976,497,296
Cube (n³): 1,021,037,829,623,169,344
Divisor count: 12
σ(n) — sum of divisors: 2,013,984
φ(n) — Euler's totient: 431,544
Sum of prime factors: 35,974

Primality

Prime factorization: 2 ² × 7 × 35963

Nearest primes: 1,006,949 (−15) · 1,006,969 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 35963 · 71926 · 143852 · 251741 · 503482 (half) · 1006964

Aliquot sum (sum of proper divisors): 1,007,020

Factor pairs (a × b = 1,006,964)

1 × 1006964

2 × 503482

4 × 251741

7 × 143852

14 × 71926

28 × 35963

First multiples

1,006,964 · 2,013,928 (double) · 3,020,892 · 4,027,856 · 5,034,820 · 6,041,784 · 7,048,748 · 8,055,712 · 9,062,676 · 10,069,640

Sums & aliquot sequence

As consecutive integers: 143,849 + 143,850 + … + 143,855 125,867 + 125,868 + … + 125,874 17,954 + 17,955 + … + 18,009

Aliquot sequence: 1,006,964 → 1,007,020 → 1,410,164 → 1,410,220 → 2,037,140 → 2,852,332 → 2,852,388 → 6,558,972 → 11,111,940 → 27,413,820 → 67,625,124 → 112,708,764 → 212,895,060 → 468,370,476 → 884,700,516 → 1,533,854,364 → 2,561,410,404 — unresolved within range

Continued fraction of √n

√1,006,964 = [1003; (2, 9, 1, 8, 1, 7, 1, 2, 1, 1, 99, 1, 3, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 5, …)]

Representations

In words: one million six thousand nine hundred sixty-four
Ordinal: 1006964th
Binary: 11110101110101110100
Octal: 3656564
Hexadecimal: 0xF5D74
Base64: D110
One's complement: 4,293,960,331 (32-bit)
Scientific notation: 1.006964 × 10⁶
As a duration: 1,006,964 s = 11 days, 15 hours, 42 minutes, 44 seconds

In other bases

ternary (3) 1220011021222

quaternary (4) 3311311310

quinary (5) 224210324

senary (6) 33325512

septenary (7) 11362520

nonary (9) 1804258

undecimal (11) 628602

duodecimal (12) 406898

tridecimal (13) 29344a

tetradecimal (14) 1c2d80

pentadecimal (15) 14d55e

As an angle

1,006,964° = 2,797 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千九百六十四
Chinese (financial): 壹佰萬陸仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٩٦٤ Devanagari १००६९६४ Bengali ১০০৬৯৬৪ Tamil ௧௦௦௬௯௬௪ Thai ๑๐๐๖๙๖๔ Tibetan ༡༠༠༦༩༦༤ Khmer ១០០៦៩៦៤ Lao ໑໐໐໖໙໖໔ Burmese ၁၀၀၆၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006964, here are decompositions:

31 + 1006933 = 1006964
67 + 1006897 = 1006964
73 + 1006891 = 1006964
103 + 1006861 = 1006964
181 + 1006783 = 1006964
313 + 1006651 = 1006964
331 + 1006633 = 1006964
421 + 1006543 = 1006964

Showing the first eight; more decompositions exist.

Hex color

#0F5D74

RGB(15, 93, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.116.

Address: 0.15.93.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.116

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 1,006,964 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 US1,006,964 on Google Patents ↗ Look up on USPTO ↗