Live analysis

1,016,272

1,016,272 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.).

1,016,272 (one million sixteen thousand two hundred seventy-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 3,343. Its proper divisors sum to 1,057,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF81D0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,016,260 1,016,261 1,016,262 1,016,263 1,016,264 1,016,265 1,016,266 1,016,267 1,016,268 1,016,269 1,016,270 1,016,271 1,016,272 1,016,273 1,016,274 1,016,275 1,016,276 1,016,277 1,016,278 1,016,279 1,016,280 1,016,281 1,016,282 1,016,283 1,016,284

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,726,101
Square (n²): 1,032,808,777,984
Cube (n³): 1,049,614,642,419,355,648
Divisor count: 20
σ(n) — sum of divisors: 2,073,280
φ(n) — Euler's totient: 481,248
Sum of prime factors: 3,370

Primality

Prime factorization: 2 ⁴ × 19 × 3343

Nearest primes: 1,016,263 (−9) · 1,016,303 (+31)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 3343 · 6686 · 13372 · 26744 · 53488 · 63517 · 127034 · 254068 · 508136 (half) · 1016272

Aliquot sum (sum of proper divisors): 1,057,008

Factor pairs (a × b = 1,016,272)

1 × 1016272

2 × 508136

4 × 254068

8 × 127034

16 × 63517

19 × 53488

38 × 26744

76 × 13372

152 × 6686

304 × 3343

First multiples

1,016,272 · 2,032,544 (double) · 3,048,816 · 4,065,088 · 5,081,360 · 6,097,632 · 7,113,904 · 8,130,176 · 9,146,448 · 10,162,720

Sums & aliquot sequence

As consecutive integers: 53,479 + 53,480 + … + 53,497 31,743 + 31,744 + … + 31,774 1,368 + 1,369 + … + 1,975

Aliquot sequence: 1,016,272 → 1,057,008 → 1,872,120 → 3,744,600 → 8,012,460 → 14,422,596 → 23,710,044 → 33,109,684 → 24,872,940 → 52,511,220 → 114,413,580 → 241,541,460 → 553,246,380 → 1,127,795,892 → 1,618,142,604 → 2,447,959,716 → 3,953,316,984 — unresolved within range

Continued fraction of √n

√1,016,272 = [1008; (9, 1, 2, 3, 1, 11, 6, 4, 4, 24, 1, 1, 1, 9, 2, 1, 2, 2, 10, 1, 1, 2, 10, 9, …)]

Representations

In words: one million sixteen thousand two hundred seventy-two
Ordinal: 1016272nd
Binary: 11111000000111010000
Octal: 3700720
Hexadecimal: 0xF81D0
Base64: D4HQ
One's complement: 4,293,951,023 (32-bit)
Scientific notation: 1.016272 × 10⁶
As a duration: 1,016,272 s = 11 days, 18 hours, 17 minutes, 52 seconds

In other bases

ternary (3) 1220122001201

quaternary (4) 3320013100

quinary (5) 230010042

senary (6) 33440544

septenary (7) 11431615

nonary (9) 1818051

undecimal (11) 6345a4

duodecimal (12) 410154

tridecimal (13) 29775a

tetradecimal (14) 1c650c

pentadecimal (15) 1511b7

As an angle

1,016,272° = 2,822 × 360° + 352°

352° ≈ 6.144 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬六千二百七十二
Chinese (financial): 壹佰零壹萬陸仟貳佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٦٢٧٢ Devanagari १०१६२७२ Bengali ১০১৬২৭২ Tamil ௧௦௧௬௨௭௨ Thai ๑๐๑๖๒๗๒ Tibetan ༡༠༡༦༢༧༢ Khmer ១០១៦២៧២ Lao ໑໐໑໖໒໗໒ Burmese ၁၀၁၆၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016272, here are decompositions:

41 + 1016231 = 1016272
71 + 1016201 = 1016272
113 + 1016159 = 1016272
149 + 1016123 = 1016272
239 + 1016033 = 1016272
263 + 1016009 = 1016272
281 + 1015991 = 1016272
353 + 1015919 = 1016272

Showing the first eight; more decompositions exist.

Hex color

#0F81D0

RGB(15, 129, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.208.

Address: 0.15.129.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6272 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6272-10-01 (MMDYYYY (US, single-digit day))
6272-01-10 (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 1,016,272 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 US1,016,272 on Google Patents ↗ Look up on USPTO ↗