Live analysis

1,002,996

1,002,996 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.).

1,002,996 (one million two thousand nine hundred ninety-six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 37 × 251. Its proper divisors sum to 1,678,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DF4.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,984 1,002,985 1,002,986 1,002,987 1,002,988 1,002,989 1,002,990 1,002,991 1,002,992 1,002,993 1,002,994 1,002,995 1,002,996 1,002,997 1,002,998 1,002,999 1,003,000 1,003,001 1,003,002 1,003,003 1,003,004 1,003,005 1,003,006 1,003,007 1,003,008

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,992,001
Square (n²): 1,006,000,976,016
Cube (n³): 1,009,014,954,940,143,936
Divisor count: 48
σ(n) — sum of divisors: 2,681,280
φ(n) — Euler's totient: 324,000
Sum of prime factors: 301

Primality

Prime factorization: 2 ² × 3 ³ × 37 × 251

Nearest primes: 1,002,979 (−17) · 1,003,001 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 37 · 54 · 74 · 108 · 111 · 148 · 222 · 251 · 333 · 444 · 502 · 666 · 753 · 999 · 1004 · 1332 · 1506 · 1998 · 2259 · 3012 · 3996 · 4518 · 6777 · 9036 · 9287 · 13554 · 18574 · 27108 · 27861 · 37148 · 55722 · 83583 · 111444 · 167166 · 250749 · 334332 · 501498 (half) · 1002996

Aliquot sum (sum of proper divisors): 1,678,284

Factor pairs (a × b = 1,002,996)

1 × 1002996

2 × 501498

3 × 334332

4 × 250749

6 × 167166

9 × 111444

12 × 83583

18 × 55722

27 × 37148

36 × 27861

37 × 27108

54 × 18574

74 × 13554

108 × 9287

111 × 9036

148 × 6777

222 × 4518

251 × 3996

333 × 3012

444 × 2259

502 × 1998

666 × 1506

753 × 1332

999 × 1004

First multiples

1,002,996 · 2,005,992 (double) · 3,008,988 · 4,011,984 · 5,014,980 · 6,017,976 · 7,020,972 · 8,023,968 · 9,026,964 · 10,029,960

Sums & aliquot sequence

As consecutive integers: 334,331 + 334,332 + 334,333 125,371 + 125,372 + … + 125,378 111,440 + 111,441 + … + 111,448 41,780 + 41,781 + … + 41,803

Aliquot sequence: 1,002,996 → 1,678,284 → 2,564,136 → 4,643,064 → 8,156,736 → 20,734,113 → 6,911,375 → 1,714,177 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,002,996 = [1001; (2, 79, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 4, 1, 9, 1, 3, 2, 4, 5, 5, …)]

Representations

In words: one million two thousand nine hundred ninety-six
Ordinal: 1002996th
Binary: 11110100110111110100
Octal: 3646764
Hexadecimal: 0xF4DF4
Base64: D030
One's complement: 4,293,964,299 (32-bit)
Scientific notation: 1.002996 × 10⁶
As a duration: 1,002,996 s = 11 days, 14 hours, 36 minutes, 36 seconds

In other bases

ternary (3) 1212221212000

quaternary (4) 3310313310

quinary (5) 224043441

senary (6) 33255300

septenary (7) 11345121

nonary (9) 1787760

undecimal (11) 625625

duodecimal (12) 404530

tridecimal (13) 2916b7

tetradecimal (14) 1c1748

pentadecimal (15) 14c2b6

As an angle

1,002,996° = 2,786 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千九百九十六
Chinese (financial): 壹佰萬貳仟玖佰玖拾陸

In other modern scripts

Eastern Arabic ١٠٠٢٩٩٦ Devanagari १००२९९६ Bengali ১০০২৯৯৬ Tamil ௧௦௦௨௯௯௬ Thai ๑๐๐๒๙๙๖ Tibetan ༡༠༠༢༩༩༦ Khmer ១០០២៩៩៦ Lao ໑໐໐໒໙໙໖ Burmese ၁၀၀၂၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002996, here are decompositions:

17 + 1002979 = 1002996
23 + 1002973 = 1002996
67 + 1002929 = 1002996
79 + 1002917 = 1002996
83 + 1002913 = 1002996
97 + 1002899 = 1002996
103 + 1002893 = 1002996
109 + 1002887 = 1002996

Showing the first eight; more decompositions exist.

Hex color

#0F4DF4

RGB(15, 77, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.244.

Address: 0.15.77.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.244

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 1,002,996 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 US1,002,996 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002996 first appears in π at position 7,770 of the decimal expansion (the 7,770ordinal-suffix:th 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 1002996 on Pi Search ↗