Live analysis

1,016,004

1,016,004 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.).

1,016,004 (one million sixteen thousand four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 43 × 179. Its proper divisors sum to 1,645,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF80C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,015,992 1,015,993 1,015,994 1,015,995 1,015,996 1,015,997 1,015,998 1,015,999 1,016,000 1,016,001 1,016,002 1,016,003 1,016,004 1,016,005 1,016,006 1,016,007 1,016,008 1,016,009 1,016,010 1,016,011 1,016,012 1,016,013 1,016,014 1,016,015 1,016,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,006,101
Recamán's sequence: a(365,983) = 1,016,004
Square (n²): 1,032,264,128,016
Cube (n³): 1,048,784,483,120,768,064
Divisor count: 48
σ(n) — sum of divisors: 2,661,120
φ(n) — Euler's totient: 299,040
Sum of prime factors: 240

Primality

Prime factorization: 2 ² × 3 × 11 × 43 × 179

Nearest primes: 1,015,991 (−13) · 1,016,009 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 43 · 44 · 66 · 86 · 129 · 132 · 172 · 179 · 258 · 358 · 473 · 516 · 537 · 716 · 946 · 1074 · 1419 · 1892 · 1969 · 2148 · 2838 · 3938 · 5676 · 5907 · 7697 · 7876 · 11814 · 15394 · 23091 · 23628 · 30788 · 46182 · 84667 · 92364 · 169334 · 254001 · 338668 · 508002 (half) · 1016004

Aliquot sum (sum of proper divisors): 1,645,116

Factor pairs (a × b = 1,016,004)

1 × 1016004

2 × 508002

3 × 338668

4 × 254001

6 × 169334

11 × 92364

12 × 84667

22 × 46182

33 × 30788

43 × 23628

44 × 23091

66 × 15394

86 × 11814

129 × 7876

132 × 7697

172 × 5907

179 × 5676

258 × 3938

358 × 2838

473 × 2148

516 × 1969

537 × 1892

716 × 1419

946 × 1074

First multiples

1,016,004 · 2,032,008 (double) · 3,048,012 · 4,064,016 · 5,080,020 · 6,096,024 · 7,112,028 · 8,128,032 · 9,144,036 · 10,160,040

Sums & aliquot sequence

As consecutive integers: 338,667 + 338,668 + 338,669 126,997 + 126,998 + … + 127,004 92,359 + 92,360 + … + 92,369 42,322 + 42,323 + … + 42,345

Aliquot sequence: 1,016,004 → 1,645,116 → 2,618,052 → 3,490,764 → 4,654,380 → 8,378,052 → 11,170,764 → 20,426,676 → 27,555,468 → 37,465,572 → 50,464,284 → 79,309,668 → 105,746,252 → 79,408,564 → 67,730,960 → 105,385,564 → 82,165,436 — unresolved within range

Continued fraction of √n

√1,016,004 = [1007; (1, 32, 1, 1, 2, 80, 4, 5, 2, 1, 62, 3, 4, 1, 3, 2, 1, 1, 2, 1, 1, 2, 2, 7, …)]

Representations

In words: one million sixteen thousand four
Ordinal: 1016004th
Binary: 11111000000011000100
Octal: 3700304
Hexadecimal: 0xF80C4
Base64: D4DE
One's complement: 4,293,951,291 (32-bit)
Scientific notation: 1.016004 × 10⁶
As a duration: 1,016,004 s = 11 days, 18 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 1220121200210

quaternary (4) 3320003010

quinary (5) 230003004

senary (6) 33435420

septenary (7) 11431053

nonary (9) 1817623

undecimal (11) 634380

duodecimal (12) 40bb70

tridecimal (13) 2975b2

tetradecimal (14) 1c639a

pentadecimal (15) 151089

As an angle

1,016,004° = 2,822 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千零四
Chinese (financial): 壹佰零壹萬陸仟零肆

In other modern scripts

Eastern Arabic ١٠١٦٠٠٤ Devanagari १०१६००४ Bengali ১০১৬০০৪ Tamil ௧௦௧௬௦௦௪ Thai ๑๐๑๖๐๐๔ Tibetan ༡༠༡༦༠༠༤ Khmer ១០១៦០០៤ Lao ໑໐໑໖໐໐໔ Burmese ၁၀၁၆၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016004, here are decompositions:

13 + 1015991 = 1016004
23 + 1015981 = 1016004
37 + 1015967 = 1016004
97 + 1015907 = 1016004
107 + 1015897 = 1016004
113 + 1015891 = 1016004
127 + 1015877 = 1016004
151 + 1015853 = 1016004

Showing the first eight; more decompositions exist.

Hex color

#0F80C4

RGB(15, 128, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.196.

Address: 0.15.128.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.196

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6004-10-01 (MMDYYYY (US, single-digit day))
6004-01-10 (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 1,016,004 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 US1,016,004 on Google Patents ↗ Look up on USPTO ↗