Live analysis

1,004,960

1,004,960 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.).

1,004,960 (one million four thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 571. Its proper divisors sum to 1,589,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55A0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,948 1,004,949 1,004,950 1,004,951 1,004,952 1,004,953 1,004,954 1,004,955 1,004,956 1,004,957 1,004,958 1,004,959 1,004,960 1,004,961 1,004,962 1,004,963 1,004,964 1,004,965 1,004,966 1,004,967 1,004,968 1,004,969 1,004,970 1,004,971 1,004,972

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 694,001
Square (n²): 1,009,944,601,600
Cube (n³): 1,014,953,926,823,936,000
Divisor count: 48
σ(n) — sum of divisors: 2,594,592
φ(n) — Euler's totient: 364,800
Sum of prime factors: 597

Primality

Prime factorization: 2 ⁵ × 5 × 11 × 571

Nearest primes: 1,004,917 (−43) · 1,004,963 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 80 · 88 · 110 · 160 · 176 · 220 · 352 · 440 · 571 · 880 · 1142 · 1760 · 2284 · 2855 · 4568 · 5710 · 6281 · 9136 · 11420 · 12562 · 18272 · 22840 · 25124 · 31405 · 45680 · 50248 · 62810 · 91360 · 100496 · 125620 · 200992 · 251240 · 502480 (half) · 1004960

Aliquot sum (sum of proper divisors): 1,589,632

Factor pairs (a × b = 1,004,960)

1 × 1004960

2 × 502480

4 × 251240

5 × 200992

8 × 125620

10 × 100496

11 × 91360

16 × 62810

20 × 50248

22 × 45680

32 × 31405

40 × 25124

44 × 22840

55 × 18272

80 × 12562

88 × 11420

110 × 9136

160 × 6281

176 × 5710

220 × 4568

352 × 2855

440 × 2284

571 × 1760

880 × 1142

First multiples

1,004,960 · 2,009,920 (double) · 3,014,880 · 4,019,840 · 5,024,800 · 6,029,760 · 7,034,720 · 8,039,680 · 9,044,640 · 10,049,600

Sums & aliquot sequence

As consecutive integers: 200,990 + 200,991 + 200,992 + 200,993 + 200,994 91,355 + 91,356 + … + 91,365 18,245 + 18,246 + … + 18,299 15,671 + 15,672 + … + 15,734

Aliquot sequence: 1,004,960 → 1,589,632 → 1,868,168 → 1,651,012 → 1,534,268 → 1,208,164 → 914,460 → 1,646,196 → 2,194,956 → 3,647,244 → 4,863,020 → 5,950,804 → 4,528,140 → 8,255,988 → 15,724,332 → 27,082,068 → 44,559,852 — unresolved within range

Continued fraction of √n

√1,004,960 = [1002; (2, 10, 2, 1, 24, 1, 2, 2, 1, 3, 1, 3, 3, 1, 11, 1, 3, 3, 1, 3, 1, 2, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million four thousand nine hundred sixty
Ordinal: 1004960th
Binary: 11110101010110100000
Octal: 3652640
Hexadecimal: 0xF55A0
Base64: D1Wg
One's complement: 4,293,962,335 (32-bit)
Scientific notation: 1.00496 × 10⁶
As a duration: 1,004,960 s = 11 days, 15 hours, 9 minutes, 20 seconds

In other bases

ternary (3) 1220001112202

quaternary (4) 3311112200

quinary (5) 224124320

senary (6) 33312332

septenary (7) 11353625

nonary (9) 1801482

undecimal (11) 627050

duodecimal (12) 4056a8

tridecimal (13) 292568

tetradecimal (14) 1c234c

pentadecimal (15) 14cb75

As an angle

1,004,960° = 2,791 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千九百六十
Chinese (financial): 壹佰萬肆仟玖佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٤٩٦٠ Devanagari १००४९६० Bengali ১০০৪৯৬০ Tamil ௧௦௦௪௯௬௦ Thai ๑๐๐๔๙๖๐ Tibetan ༡༠༠༤༩༦༠ Khmer ១០០៤៩៦០ Lao ໑໐໐໔໙໖໐ Burmese ၁၀၀၄၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004960, here are decompositions:

43 + 1004917 = 1004960
163 + 1004797 = 1004960
181 + 1004779 = 1004960
199 + 1004761 = 1004960
211 + 1004749 = 1004960
223 + 1004737 = 1004960
283 + 1004677 = 1004960
409 + 1004551 = 1004960

Showing the first eight; more decompositions exist.

Hex color

#0F55A0

RGB(15, 85, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.160.

Address: 0.15.85.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.160

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 1,004,960 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 US1,004,960 on Google Patents ↗ Look up on USPTO ↗