Live analysis

1,013,088

1,013,088 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.).

1,013,088 (one million thirteen thousand eighty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 61 × 173. Its proper divisors sum to 1,705,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7560.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,076 1,013,077 1,013,078 1,013,079 1,013,080 1,013,081 1,013,082 1,013,083 1,013,084 1,013,085 1,013,086 1,013,087 1,013,088 1,013,089 1,013,090 1,013,091 1,013,092 1,013,093 1,013,094 1,013,095 1,013,096 1,013,097 1,013,098 1,013,099 1,013,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,803,101
Square (n²): 1,026,347,295,744
Cube (n³): 1,039,780,129,150,697,472
Divisor count: 48
σ(n) — sum of divisors: 2,718,576
φ(n) — Euler's totient: 330,240
Sum of prime factors: 247

Primality

Prime factorization: 2 ⁵ × 3 × 61 × 173

Nearest primes: 1,013,063 (−25) · 1,013,143 (+55)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 61 · 96 · 122 · 173 · 183 · 244 · 346 · 366 · 488 · 519 · 692 · 732 · 976 · 1038 · 1384 · 1464 · 1952 · 2076 · 2768 · 2928 · 4152 · 5536 · 5856 · 8304 · 10553 · 16608 · 21106 · 31659 · 42212 · 63318 · 84424 · 126636 · 168848 · 253272 · 337696 · 506544 (half) · 1013088

Aliquot sum (sum of proper divisors): 1,705,488

Factor pairs (a × b = 1,013,088)

1 × 1013088

2 × 506544

3 × 337696

4 × 253272

6 × 168848

8 × 126636

12 × 84424

16 × 63318

24 × 42212

32 × 31659

48 × 21106

61 × 16608

96 × 10553

122 × 8304

173 × 5856

183 × 5536

244 × 4152

346 × 2928

366 × 2768

488 × 2076

519 × 1952

692 × 1464

732 × 1384

976 × 1038

First multiples

1,013,088 · 2,026,176 (double) · 3,039,264 · 4,052,352 · 5,065,440 · 6,078,528 · 7,091,616 · 8,104,704 · 9,117,792 · 10,130,880

Sums & aliquot sequence

As consecutive integers: 337,695 + 337,696 + 337,697 16,578 + 16,579 + … + 16,638 15,798 + 15,799 + … + 15,861 5,770 + 5,771 + … + 5,942

Aliquot sequence: 1,013,088 → 1,705,488 → 2,700,480 → 6,260,640 → 13,461,888 → 25,559,232 → 42,066,744 → 63,100,176 → 99,908,736 → 165,474,864 → 297,625,332 → 397,122,540 → 717,372,660 → 1,293,889,740 → 3,186,952,500 → 6,304,109,388 → 9,270,749,604 — unresolved within range

Continued fraction of √n

√1,013,088 = [1006; (1, 1, 10, 1, 1, 2012)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand eighty-eight
Ordinal: 1013088th
Binary: 11110111010101100000
Octal: 3672540
Hexadecimal: 0xF7560
Base64: D3Vg
One's complement: 4,293,954,207 (32-bit)
Scientific notation: 1.013088 × 10⁶
As a duration: 1,013,088 s = 11 days, 17 hours, 24 minutes, 48 seconds

In other bases

ternary (3) 1220110200210

quaternary (4) 3313111200

quinary (5) 224404323

senary (6) 33414120

septenary (7) 11416416

nonary (9) 1813623

undecimal (11) 63216a

duodecimal (12) 40a340

tridecimal (13) 29617b

tetradecimal (14) 1c52b6

pentadecimal (15) 150293

As an angle

1,013,088° = 2,814 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零八十八
Chinese (financial): 壹佰零壹萬參仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٠٨٨ Devanagari १०१३०८८ Bengali ১০১৩০৮৮ Tamil ௧௦௧௩௦௮௮ Thai ๑๐๑๓๐๘๘ Tibetan ༡༠༡༣༠༨༨ Khmer ១០១៣០៨៨ Lao ໑໐໑໓໐໘໘ Burmese ၁၀၁၃၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013088, here are decompositions:

47 + 1013041 = 1013088
59 + 1013029 = 1013088
79 + 1013009 = 1013088
107 + 1012981 = 1013088
157 + 1012931 = 1013088
227 + 1012861 = 1013088
257 + 1012831 = 1013088
277 + 1012811 = 1013088

Showing the first eight; more decompositions exist.

Hex color

#0F7560

RGB(15, 117, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.96.

Address: 0.15.117.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3088 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3088-10-01 (MMDYYYY (US, single-digit day))
3088-01-10 (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 1,013,088 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 US1,013,088 on Google Patents ↗ Look up on USPTO ↗