Live analysis

1,013,985

1,013,985 is a composite number, odd.

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.).

1,013,985 (one million thirteen thousand nine hundred eighty-five) is an odd 7-digit number. It is a composite number with 64 divisors, and factors as 3³ × 5 × 7 × 29 × 37. Its proper divisors sum to 1,174,815, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78E1.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,973 1,013,974 1,013,975 1,013,976 1,013,977 1,013,978 1,013,979 1,013,980 1,013,981 1,013,982 1,013,983 1,013,984 1,013,985 1,013,986 1,013,987 1,013,988 1,013,989 1,013,990 1,013,991 1,013,992 1,013,993 1,013,994 1,013,995 1,013,996 1,013,997

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 5,893,101
Square (n²): 1,028,165,580,225
Cube (n³): 1,042,544,475,864,446,625
Divisor count: 64
σ(n) — sum of divisors: 2,188,800
φ(n) — Euler's totient: 435,456
Sum of prime factors: 87

Primality

Prime factorization: 3 ³ × 5 × 7 × 29 × 37

Nearest primes: 1,013,933 (−52) · 1,013,993 (+8)

Divisors & multiples

All divisors (64)

1 · 3 · 5 · 7 · 9 · 15 · 21 · 27 · 29 · 35 · 37 · 45 · 63 · 87 · 105 · 111 · 135 · 145 · 185 · 189 · 203 · 259 · 261 · 315 · 333 · 435 · 555 · 609 · 777 · 783 · 945 · 999 · 1015 · 1073 · 1295 · 1305 · 1665 · 1827 · 2331 · 3045 · 3219 · 3885 · 3915 · 4995 · 5365 · 5481 · 6993 · 7511 · 9135 · 9657 · 11655 · 16095 · 22533 · 27405 · 28971 · 34965 · 37555 · 48285 · 67599 · 112665 · 144855 · 202797 · 337995 · 1013985

Aliquot sum (sum of proper divisors): 1,174,815

Factor pairs (a × b = 1,013,985)

1 × 1013985

3 × 337995

5 × 202797

7 × 144855

9 × 112665

15 × 67599

21 × 48285

27 × 37555

29 × 34965

35 × 28971

37 × 27405

45 × 22533

63 × 16095

87 × 11655

105 × 9657

111 × 9135

135 × 7511

145 × 6993

185 × 5481

189 × 5365

203 × 4995

259 × 3915

261 × 3885

315 × 3219

333 × 3045

435 × 2331

555 × 1827

609 × 1665

777 × 1305

783 × 1295

945 × 1073

999 × 1015

First multiples

1,013,985 · 2,027,970 (double) · 3,041,955 · 4,055,940 · 5,069,925 · 6,083,910 · 7,097,895 · 8,111,880 · 9,125,865 · 10,139,850

Sums & aliquot sequence

As consecutive integers: 506,992 + 506,993 337,994 + 337,995 + 337,996 202,795 + 202,796 + 202,797 + 202,798 + 202,799 168,995 + 168,996 + 168,997 + 168,998 + 168,999 + 169,000

Aliquot sequence: 1,013,985 → 1,174,815 → 861,609 → 468,951 → 255,273 → 85,095 → 69,657 → 40,935 → 24,585 → 18,615 → 13,353 → 4,455 → 4,257 → 2,607 → 1,233 → 561 → 303 — unresolved within range

Continued fraction of √n

√1,013,985 = [1006; (1, 30, 2, 7, 2, 1, 2, 125, 2, 125, 2, 1, 2, 7, 2, 30, 1, 2012)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred eighty-five
Ordinal: 1013985th
Binary: 11110111100011100001
Octal: 3674341
Hexadecimal: 0xF78E1
Base64: D3jh
One's complement: 4,293,953,310 (32-bit)
Scientific notation: 1.013985 × 10⁶
As a duration: 1,013,985 s = 11 days, 17 hours, 39 minutes, 45 seconds

In other bases

ternary (3) 1220111221000

quaternary (4) 3313203201

quinary (5) 224421420

senary (6) 33422213

septenary (7) 11422140

nonary (9) 1814830

undecimal (11) 632905

duodecimal (12) 40a969

tridecimal (13) 2966bb

tetradecimal (14) 1c5757

pentadecimal (15) 150690

As an angle

1,013,985° = 2,816 × 360° + 225°

225° ≈ 3.927 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千九百八十五
Chinese (financial): 壹佰零壹萬參仟玖佰捌拾伍

In other modern scripts

Eastern Arabic ١٠١٣٩٨٥ Devanagari १०१३९८५ Bengali ১০১৩৯৮৫ Tamil ௧௦௧௩௯௮௫ Thai ๑๐๑๓๙๘๕ Tibetan ༡༠༡༣༩༨༥ Khmer ១០១៣៩៨៥ Lao ໑໐໑໓໙໘໕ Burmese ၁၀၁၃၉၈၅

Also seen as

Hex color

#0F78E1

RGB(15, 120, 225)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.225.

Address: 0.15.120.225
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.225

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3985 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3985-10-01 (MMDYYYY (US, single-digit day))
3985-01-10 (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 1,013,985 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 US1,013,985 on Google Patents ↗ Look up on USPTO ↗