Live analysis

1,016,442

1,016,442 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.).

1,016,442 (one million sixteen thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 7 × 2,689. Its proper divisors sum to 1,565,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF827A.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,016,430 1,016,431 1,016,432 1,016,433 1,016,434 1,016,435 1,016,436 1,016,437 1,016,438 1,016,439 1,016,440 1,016,441 1,016,442 1,016,443 1,016,444 1,016,445 1,016,446 1,016,447 1,016,448 1,016,449 1,016,450 1,016,451 1,016,452 1,016,453 1,016,454

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,446,101
Square (n²): 1,033,154,339,364
Cube (n³): 1,050,141,463,011,822,888
Divisor count: 32
σ(n) — sum of divisors: 2,582,400
φ(n) — Euler's totient: 290,304
Sum of prime factors: 2,707

Primality

Prime factorization: 2 × 3 ³ × 7 × 2689

Nearest primes: 1,016,441 (−1) · 1,016,453 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 126 · 189 · 378 · 2689 · 5378 · 8067 · 16134 · 18823 · 24201 · 37646 · 48402 · 56469 · 72603 · 112938 · 145206 · 169407 · 338814 · 508221 (half) · 1016442

Aliquot sum (sum of proper divisors): 1,565,958

Factor pairs (a × b = 1,016,442)

1 × 1016442

2 × 508221

3 × 338814

6 × 169407

7 × 145206

9 × 112938

14 × 72603

18 × 56469

21 × 48402

27 × 37646

42 × 24201

54 × 18823

63 × 16134

126 × 8067

189 × 5378

378 × 2689

First multiples

1,016,442 · 2,032,884 (double) · 3,049,326 · 4,065,768 · 5,082,210 · 6,098,652 · 7,115,094 · 8,131,536 · 9,147,978 · 10,164,420

Sums & aliquot sequence

As consecutive integers: 338,813 + 338,814 + 338,815 254,109 + 254,110 + 254,111 + 254,112 145,203 + 145,204 + … + 145,209 112,934 + 112,935 + … + 112,942

Aliquot sequence: 1,016,442 → 1,565,958 → 1,579,002 → 1,579,014 → 2,170,026 → 2,531,736 → 4,561,284 → 8,540,924 → 8,540,980 → 11,957,708 → 12,353,236 → 12,353,292 → 24,993,108 → 50,267,532 → 88,833,444 → 148,055,964 → 246,760,164 — unresolved within range

Continued fraction of √n

√1,016,442 = [1008; (5, 2, 1, 223, 2, 1, 4, 1, 2, 223, 1, 2, 5, 2016)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand four hundred forty-two
Ordinal: 1016442nd
Binary: 11111000001001111010
Octal: 3701172
Hexadecimal: 0xF827A
Base64: D4J6
One's complement: 4,293,950,853 (32-bit)
Scientific notation: 1.016442 × 10⁶
As a duration: 1,016,442 s = 11 days, 18 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 1220122022000

quaternary (4) 3320021322

quinary (5) 230011232

senary (6) 33441430

septenary (7) 11432250

nonary (9) 1818260

undecimal (11) 634739

duodecimal (12) 410276

tridecimal (13) 29785b

tetradecimal (14) 1c65d0

pentadecimal (15) 15127c

As an angle

1,016,442° = 2,823 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬六千四百四十二
Chinese (financial): 壹佰零壹萬陸仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٦٤٤٢ Devanagari १०१६४४२ Bengali ১০১৬৪৪২ Tamil ௧௦௧௬௪௪௨ Thai ๑๐๑๖๔๔๒ Tibetan ༡༠༡༦༤༤༢ Khmer ១០១៦៤៤២ Lao ໑໐໑໖໔໔໒ Burmese ၁၀၁၆၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016442, here are decompositions:

19 + 1016423 = 1016442
23 + 1016419 = 1016442
41 + 1016401 = 1016442
43 + 1016399 = 1016442
71 + 1016371 = 1016442
83 + 1016359 = 1016442
101 + 1016341 = 1016442
103 + 1016339 = 1016442

Showing the first eight; more decompositions exist.

Hex color

#0F827A

RGB(15, 130, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.122.

Address: 0.15.130.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.122

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 6442 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6442-10-01 (MMDYYYY (US, single-digit day))
6442-01-10 (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 1,016,442 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 US1,016,442 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1016442 first appears in π at position 151,763 of the decimal expansion (the 151,763ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1016442 on Pi Search ↗