Live analysis

1,016,748

1,016,748 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.).

1,016,748 (one million sixteen thousand seven hundred forty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 61 × 463. Its proper divisors sum to 1,601,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF83AC.

Abundant Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,016,736 1,016,737 1,016,738 1,016,739 1,016,740 1,016,741 1,016,742 1,016,743 1,016,744 1,016,745 1,016,746 1,016,747 1,016,748 1,016,749 1,016,750 1,016,751 1,016,752 1,016,753 1,016,754 1,016,755 1,016,756 1,016,757 1,016,758 1,016,759 1,016,760

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,476,101
Square (n²): 1,033,776,495,504
Cube (n³): 1,051,090,184,250,700,992
Divisor count: 36
σ(n) — sum of divisors: 2,617,888
φ(n) — Euler's totient: 332,640
Sum of prime factors: 534

Primality

Prime factorization: 2 ² × 3 ² × 61 × 463

Nearest primes: 1,016,737 (−11) · 1,016,749 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 61 · 122 · 183 · 244 · 366 · 463 · 549 · 732 · 926 · 1098 · 1389 · 1852 · 2196 · 2778 · 4167 · 5556 · 8334 · 16668 · 28243 · 56486 · 84729 · 112972 · 169458 · 254187 · 338916 · 508374 (half) · 1016748

Aliquot sum (sum of proper divisors): 1,601,140

Factor pairs (a × b = 1,016,748)

1 × 1016748

2 × 508374

3 × 338916

4 × 254187

6 × 169458

9 × 112972

12 × 84729

18 × 56486

36 × 28243

61 × 16668

122 × 8334

183 × 5556

244 × 4167

366 × 2778

463 × 2196

549 × 1852

732 × 1389

926 × 1098

First multiples

1,016,748 · 2,033,496 (double) · 3,050,244 · 4,066,992 · 5,083,740 · 6,100,488 · 7,117,236 · 8,133,984 · 9,150,732 · 10,167,480

Sums & aliquot sequence

As consecutive integers: 338,915 + 338,916 + 338,917 127,090 + 127,091 + … + 127,097 112,968 + 112,969 + … + 112,976 42,353 + 42,354 + … + 42,376

Aliquot sequence: 1,016,748 → 1,601,140 → 1,785,740 → 2,305,732 → 2,633,468 → 1,975,108 → 1,481,338 → 837,350 → 720,214 → 521,066 → 460,474 → 355,142 → 207,322 → 117,254 → 66,346 → 49,592 → 43,408 — unresolved within range

Continued fraction of √n

√1,016,748 = [1008; (2, 1, 18, 5, 1, 1, 7, 8, 7, 1, 1, 5, 18, 1, 2, 2016)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand seven hundred forty-eight
Ordinal: 1016748th
Binary: 11111000001110101100
Octal: 3701654
Hexadecimal: 0xF83AC
Base64: D4Os
One's complement: 4,293,950,547 (32-bit)
Scientific notation: 1.016748 × 10⁶
As a duration: 1,016,748 s = 11 days, 18 hours, 25 minutes, 48 seconds

In other bases

ternary (3) 1220122201100

quaternary (4) 3320032230

quinary (5) 230013443

senary (6) 33443100

septenary (7) 11433165

nonary (9) 1818640

undecimal (11) 634997

duodecimal (12) 410490

tridecimal (13) 297a35

tetradecimal (14) 1c676c

pentadecimal (15) 1513d3

As an angle

1,016,748° = 2,824 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千七百四十八
Chinese (financial): 壹佰零壹萬陸仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ١٠١٦٧٤٨ Devanagari १०१६७४८ Bengali ১০১৬৭৪৮ Tamil ௧௦௧௬௭௪௮ Thai ๑๐๑๖๗๔๘ Tibetan ༡༠༡༦༧༤༨ Khmer ១០១៦៧៤៨ Lao ໑໐໑໖໗໔໘ Burmese ၁၀၁၆၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016748, here are decompositions:

11 + 1016737 = 1016748
17 + 1016731 = 1016748
59 + 1016689 = 1016748
67 + 1016681 = 1016748
107 + 1016641 = 1016748
127 + 1016621 = 1016748
137 + 1016611 = 1016748
149 + 1016599 = 1016748

Showing the first eight; more decompositions exist.

Hex color

#0F83AC

RGB(15, 131, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.131.172.

Address: 0.15.131.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.131.172

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6748 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6748-10-01 (MMDYYYY (US, single-digit day))
6748-01-10 (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 1,016,748 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 US1,016,748 on Google Patents ↗ Look up on USPTO ↗