Live analysis

1,002,660

1,002,660 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.).

1,002,660 (one million two thousand six hundred sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 983. Its proper divisors sum to 1,972,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CA4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,648 1,002,649 1,002,650 1,002,651 1,002,652 1,002,653 1,002,654 1,002,655 1,002,656 1,002,657 1,002,658 1,002,659 1,002,660 1,002,661 1,002,662 1,002,663 1,002,664 1,002,665 1,002,666 1,002,667 1,002,668 1,002,669 1,002,670 1,002,671 1,002,672

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 662,001
Square (n²): 1,005,327,075,600
Cube (n³): 1,008,001,245,621,096,000
Divisor count: 48
σ(n) — sum of divisors: 2,975,616
φ(n) — Euler's totient: 251,392
Sum of prime factors: 1,012

Primality

Prime factorization: 2 ² × 3 × 5 × 17 × 983

Nearest primes: 1,002,653 (−7) · 1,002,679 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 68 · 85 · 102 · 170 · 204 · 255 · 340 · 510 · 983 · 1020 · 1966 · 2949 · 3932 · 4915 · 5898 · 9830 · 11796 · 14745 · 16711 · 19660 · 29490 · 33422 · 50133 · 58980 · 66844 · 83555 · 100266 · 167110 · 200532 · 250665 · 334220 · 501330 (half) · 1002660

Aliquot sum (sum of proper divisors): 1,972,956

Factor pairs (a × b = 1,002,660)

1 × 1002660

2 × 501330

3 × 334220

4 × 250665

5 × 200532

6 × 167110

10 × 100266

12 × 83555

15 × 66844

17 × 58980

20 × 50133

30 × 33422

34 × 29490

51 × 19660

60 × 16711

68 × 14745

85 × 11796

102 × 9830

170 × 5898

204 × 4915

255 × 3932

340 × 2949

510 × 1966

983 × 1020

First multiples

1,002,660 · 2,005,320 (double) · 3,007,980 · 4,010,640 · 5,013,300 · 6,015,960 · 7,018,620 · 8,021,280 · 9,023,940 · 10,026,600

Sums & aliquot sequence

As consecutive integers: 334,219 + 334,220 + 334,221 200,530 + 200,531 + 200,532 + 200,533 + 200,534 125,329 + 125,330 + … + 125,336 66,837 + 66,838 + … + 66,851

Aliquot sequence: 1,002,660 → 1,972,956 → 2,630,636 → 1,972,984 → 2,089,256 → 2,129,644 → 2,078,756 → 1,569,784 → 1,387,616 → 1,377,328 → 1,291,276 → 1,321,460 → 1,850,380 → 2,590,868 → 2,896,684 → 3,000,536 → 4,015,144 — unresolved within range

Continued fraction of √n

√1,002,660 = [1001; (3, 26, 57, 5, 1, 1, 7, 1, 5, 40, 1, 2, 2, 1, 16, 7, 1, 3, 4, 1, 1, 3, 1, 22, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million two thousand six hundred sixty
Ordinal: 1002660th
Binary: 11110100110010100100
Octal: 3646244
Hexadecimal: 0xF4CA4
Base64: D0yk
One's complement: 4,293,964,635 (32-bit)
Scientific notation: 1.00266 × 10⁶
As a duration: 1,002,660 s = 11 days, 14 hours, 31 minutes

In other bases

ternary (3) 1212221101120

quaternary (4) 3310302210

quinary (5) 224041120

senary (6) 33253540

septenary (7) 11344131

nonary (9) 1787346

undecimal (11) 62534a

duodecimal (12) 4042b0

tridecimal (13) 2914b9

tetradecimal (14) 1c1588

pentadecimal (15) 14c140

As an angle

1,002,660° = 2,785 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千六百六十
Chinese (financial): 壹佰萬貳仟陸佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٢٦٦٠ Devanagari १००२६६० Bengali ১০০২৬৬০ Tamil ௧௦௦௨௬௬௦ Thai ๑๐๐๒๖๖๐ Tibetan ༡༠༠༢༦༦༠ Khmer ១០០២៦៦០ Lao ໑໐໐໒໖໖໐ Burmese ၁၀၀၂၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002660, here are decompositions:

7 + 1002653 = 1002660
13 + 1002647 = 1002660
37 + 1002623 = 1002660
41 + 1002619 = 1002660
83 + 1002577 = 1002660
107 + 1002553 = 1002660
137 + 1002523 = 1002660
149 + 1002511 = 1002660

Showing the first eight; more decompositions exist.

Hex color

#0F4CA4

RGB(15, 76, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.164.

Address: 0.15.76.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.164

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 1,002,660 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 US1,002,660 on Google Patents ↗ Look up on USPTO ↗