Live analysis

1,013,888

1,013,888 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.).

1,013,888 (one million thirteen thousand eight hundred eighty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁷ × 89². Its proper divisors sum to 1,028,917, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7880.

Abundant Number Achilles Number Frugal Number Happy Number Odious Number Powerful Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,013,876 1,013,877 1,013,878 1,013,879 1,013,880 1,013,881 1,013,882 1,013,883 1,013,884 1,013,885 1,013,886 1,013,887 1,013,888 1,013,889 1,013,890 1,013,891 1,013,892 1,013,893 1,013,894 1,013,895 1,013,896 1,013,897 1,013,898 1,013,899 1,013,900

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 29
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,883,101
Square (n²): 1,027,968,876,544
Cube (n³): 1,042,245,308,301,443,072
Divisor count: 24
σ(n) — sum of divisors: 2,042,805
φ(n) — Euler's totient: 501,248
Sum of prime factors: 192

Primality

Prime factorization: 2 ⁷ × 89 ²

Nearest primes: 1,013,879 (−9) · 1,013,891 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 89 · 128 · 178 · 356 · 712 · 1424 · 2848 · 5696 · 7921 · 11392 · 15842 · 31684 · 63368 · 126736 · 253472 · 506944 (half) · 1013888

Aliquot sum (sum of proper divisors): 1,028,917

Factor pairs (a × b = 1,013,888)

1 × 1013888

2 × 506944

4 × 253472

8 × 126736

16 × 63368

32 × 31684

64 × 15842

89 × 11392

128 × 7921

178 × 5696

356 × 2848

712 × 1424

First multiples

1,013,888 · 2,027,776 (double) · 3,041,664 · 4,055,552 · 5,069,440 · 6,083,328 · 7,097,216 · 8,111,104 · 9,124,992 · 10,138,880

Sums & aliquot sequence

As a sum of two squares: 328² + 952² = 712² + 712²

As consecutive integers: 11,348 + 11,349 + … + 11,436 3,833 + 3,834 + … + 4,088

Aliquot sequence: 1,013,888 → 1,028,917 → 5,579 → 805 → 347 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,013,888 = [1006; (1, 11, 1, 1, 27, 1, 5, 2, 2, 4, 1, 1, 1, 1, 1, 1, 15, 8, 1, 1, 2, 1, 1, 1, …)]

Representations

In words: one million thirteen thousand eight hundred eighty-eight
Ordinal: 1013888th
Binary: 11110111100010000000
Octal: 3674200
Hexadecimal: 0xF7880
Base64: D3iA
One's complement: 4,293,953,407 (32-bit)
Scientific notation: 1.013888 × 10⁶
As a duration: 1,013,888 s = 11 days, 17 hours, 38 minutes, 8 seconds

In other bases

ternary (3) 1220111210102

quaternary (4) 3313202000

quinary (5) 224421023

senary (6) 33421532

septenary (7) 11421641

nonary (9) 1814712

undecimal (11) 632827

duodecimal (12) 40a8a8

tridecimal (13) 296645

tetradecimal (14) 1c56c8

pentadecimal (15) 150628

As an angle

1,013,888° = 2,816 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千八百八十八
Chinese (financial): 壹佰零壹萬參仟捌佰捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٨٨٨ Devanagari १०१३८८८ Bengali ১০১৩৮৮৮ Tamil ௧௦௧௩௮௮௮ Thai ๑๐๑๓๘๘๘ Tibetan ༡༠༡༣༨༨༨ Khmer ១០១៣៨៨៨ Lao ໑໐໑໓໘໘໘ Burmese ၁၀၁၃၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013888, here are decompositions:

37 + 1013851 = 1013888
61 + 1013827 = 1013888
97 + 1013791 = 1013888
307 + 1013581 = 1013888
457 + 1013431 = 1013888
487 + 1013401 = 1013888
661 + 1013227 = 1013888
691 + 1013197 = 1013888

Showing the first eight; more decompositions exist.

Hex color

#0F7880

RGB(15, 120, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.128.

Address: 0.15.120.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3888 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3888-10-01 (MMDYYYY (US, single-digit day))
3888-01-10 (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 1,013,888 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 US1,013,888 on Google Patents ↗ Look up on USPTO ↗