Live analysis

1,004,016

1,004,016 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.).

1,004,016 (one million four thousand sixteen) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 1,609. Its proper divisors sum to 1,790,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51F0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,004 1,004,005 1,004,006 1,004,007 1,004,008 1,004,009 1,004,010 1,004,011 1,004,012 1,004,013 1,004,014 1,004,015 1,004,016 1,004,017 1,004,018 1,004,019 1,004,020 1,004,021 1,004,022 1,004,023 1,004,024 1,004,025 1,004,026 1,004,027 1,004,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,104,001
Square (n²): 1,008,048,128,256
Cube (n³): 1,012,096,449,539,076,096
Divisor count: 40
σ(n) — sum of divisors: 2,794,960
φ(n) — Euler's totient: 308,736
Sum of prime factors: 1,633

Primality

Prime factorization: 2 ⁴ × 3 × 13 × 1609

Nearest primes: 1,003,963 (−53) · 1,004,027 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 208 · 312 · 624 · 1609 · 3218 · 4827 · 6436 · 9654 · 12872 · 19308 · 20917 · 25744 · 38616 · 41834 · 62751 · 77232 · 83668 · 125502 · 167336 · 251004 · 334672 · 502008 (half) · 1004016

Aliquot sum (sum of proper divisors): 1,790,944

Factor pairs (a × b = 1,004,016)

1 × 1004016

2 × 502008

3 × 334672

4 × 251004

6 × 167336

8 × 125502

12 × 83668

13 × 77232

16 × 62751

24 × 41834

26 × 38616

39 × 25744

48 × 20917

52 × 19308

78 × 12872

104 × 9654

156 × 6436

208 × 4827

312 × 3218

624 × 1609

First multiples

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

Sums & aliquot sequence

As consecutive integers: 334,671 + 334,672 + 334,673 77,226 + 77,227 + … + 77,238 31,360 + 31,361 + … + 31,391 25,725 + 25,726 + … + 25,763

Aliquot sequence: 1,004,016 → 1,790,944 → 1,735,040 → 2,414,320 → 3,272,816 → 3,405,328 → 3,222,720 → 8,176,800 → 18,446,496 → 33,808,224 → 56,028,768 → 92,071,632 → 146,439,888 → 303,531,312 → 592,609,744 → 556,684,752 → 992,042,512 — unresolved within range

Continued fraction of √n

√1,004,016 = [1002; (167, 2004)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million four thousand sixteen
Ordinal: 1004016th
Binary: 11110101000111110000
Octal: 3650760
Hexadecimal: 0xF51F0
Base64: D1Hw
One's complement: 4,293,963,279 (32-bit)
Scientific notation: 1.004016 × 10⁶
As a duration: 1,004,016 s = 11 days, 14 hours, 53 minutes, 36 seconds

In other bases

ternary (3) 1220000020210

quaternary (4) 3311013300

quinary (5) 224112031

senary (6) 33304120

septenary (7) 11351106

nonary (9) 1800223

undecimal (11) 626372

duodecimal (12) 405040

tridecimal (13) 291cc0

tetradecimal (14) 1c1c76

pentadecimal (15) 14c746

As an angle

1,004,016° = 2,788 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零一十六
Chinese (financial): 壹佰萬肆仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٤٠١٦ Devanagari १००४०१६ Bengali ১০০৪০১৬ Tamil ௧௦௦௪௦௧௬ Thai ๑๐๐๔๐๑๖ Tibetan ༡༠༠༤༠༡༦ Khmer ១០០៤០១៦ Lao ໑໐໐໔໐໑໖ Burmese ၁၀၀၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004016, here are decompositions:

53 + 1003963 = 1004016
59 + 1003957 = 1004016
73 + 1003943 = 1004016
103 + 1003913 = 1004016
107 + 1003909 = 1004016
109 + 1003907 = 1004016
127 + 1003889 = 1004016
137 + 1003879 = 1004016

Showing the first eight; more decompositions exist.

Hex color

#0F51F0

RGB(15, 81, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.240.

Address: 0.15.81.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.240

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 1,004,016 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 US1,004,016 on Google Patents ↗ Look up on USPTO ↗