Live analysis

990,012

990,012 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.).

990,012 (nine hundred ninety thousand twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 23 × 211. Its proper divisors sum to 1,574,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1B3C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

990,000 990,001 990,002 990,003 990,004 990,005 990,006 990,007 990,008 990,009 990,010 990,011 990,012 990,013 990,014 990,015 990,016 990,017 990,018 990,019 990,020 990,021 990,022 990,023 990,024

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 210,099
Square (n²): 980,123,760,144
Cube (n³): 970,334,284,027,681,728
Divisor count: 48
σ(n) — sum of divisors: 2,564,352
φ(n) — Euler's totient: 295,680
Sum of prime factors: 258

Primality

Prime factorization: 2 ² × 3 × 17 × 23 × 211

Nearest primes: 990,001 (−11) · 990,013 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 23 · 34 · 46 · 51 · 68 · 69 · 92 · 102 · 138 · 204 · 211 · 276 · 391 · 422 · 633 · 782 · 844 · 1173 · 1266 · 1564 · 2346 · 2532 · 3587 · 4692 · 4853 · 7174 · 9706 · 10761 · 14348 · 14559 · 19412 · 21522 · 29118 · 43044 · 58236 · 82501 · 165002 · 247503 · 330004 · 495006 (half) · 990012

Aliquot sum (sum of proper divisors): 1,574,340

Factor pairs (a × b = 990,012)

1 × 990012

2 × 495006

3 × 330004

4 × 247503

6 × 165002

12 × 82501

17 × 58236

23 × 43044

34 × 29118

46 × 21522

51 × 19412

68 × 14559

69 × 14348

92 × 10761

102 × 9706

138 × 7174

204 × 4853

211 × 4692

276 × 3587

391 × 2532

422 × 2346

633 × 1564

782 × 1266

844 × 1173

First multiples

990,012 · 1,980,024 (double) · 2,970,036 · 3,960,048 · 4,950,060 · 5,940,072 · 6,930,084 · 7,920,096 · 8,910,108 · 9,900,120

Sums & aliquot sequence

As consecutive integers: 330,003 + 330,004 + 330,005 123,748 + 123,749 + … + 123,755 58,228 + 58,229 + … + 58,244 43,033 + 43,034 + … + 43,055

Aliquot sequence: 990,012 → 1,574,340 → 3,069,180 → 6,988,140 → 14,754,420 → 31,815,180 → 70,637,940 → 149,126,220 → 304,259,076 → 544,958,748 → 866,342,052 → 1,325,223,324 → 2,322,602,676 → 3,659,199,696 → 6,677,228,016 → 12,009,736,904 — keeps growing

Continued fraction of √n

√990,012 = [994; (1, 152, 13, 11, 1, 2, 3, 5, 4, 1, 2, 4, 1, 2, 2, 2, 1, 1, 12, 1, 1, 37, 1, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety thousand twelve
Ordinal: 990012th
Binary: 11110001101100111100
Octal: 3615474
Hexadecimal: 0xF1B3C
Base64: Dxs8
One's complement: 4,293,977,283 (32-bit)
Scientific notation: 9.90012 × 10⁵
As a duration: 990,012 s = 11 days, 11 hours, 12 seconds

In other bases

ternary (3) 1212022001010

quaternary (4) 3301230330

quinary (5) 223140022

senary (6) 33115220

septenary (7) 11262222

nonary (9) 1768033

undecimal (11) 6168a1

duodecimal (12) 3b8b10

tridecimal (13) 28880a

tetradecimal (14) 1bab12

pentadecimal (15) 14850c

As an angle

990,012° = 2,750 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟιβʹ
Chinese: 九十九萬零一十二
Chinese (financial): 玖拾玖萬零壹拾貳

In other modern scripts

Eastern Arabic ٩٩٠٠١٢ Devanagari ९९००१२ Bengali ৯৯০০১২ Tamil ௯௯௦௦௧௨ Thai ๙๙๐๐๑๒ Tibetan ༩༩༠༠༡༢ Khmer ៩៩០០១២ Lao ໙໙໐໐໑໒ Burmese ၉၉၀၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990012, here are decompositions:

11 + 990001 = 990012
13 + 989999 = 990012
31 + 989981 = 990012
41 + 989971 = 990012
53 + 989959 = 990012
61 + 989951 = 990012
73 + 989939 = 990012
83 + 989929 = 990012

Showing the first eight; more decompositions exist.

Hex color

#0F1B3C

RGB(15, 27, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.27.60.

Address: 0.15.27.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.27.60

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

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 990,012 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 US990,012 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 990012 first appears in π at position 139,351 of the decimal expansion (the 139,351ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 990012 on Pi Search ↗