Live analysis

988,002

988,002 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.).

988,002 (nine hundred eighty-eight thousand two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 131 × 419. Its proper divisors sum to 1,174,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1362.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

987,990 987,991 987,992 987,993 987,994 987,995 987,996 987,997 987,998 987,999 988,000 988,001 988,002 988,003 988,004 988,005 988,006 988,007 988,008 988,009 988,010 988,011 988,012 988,013 988,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 200,889
Recamán's sequence: a(330,635) = 988,002
Square (n²): 976,147,952,004
Cube (n³): 964,436,128,875,856,008
Divisor count: 24
σ(n) — sum of divisors: 2,162,160
φ(n) — Euler's totient: 326,040
Sum of prime factors: 558

Primality

Prime factorization: 2 × 3 ² × 131 × 419

Nearest primes: 987,997 (−5) · 988,007 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 131 · 262 · 393 · 419 · 786 · 838 · 1179 · 1257 · 2358 · 2514 · 3771 · 7542 · 54889 · 109778 · 164667 · 329334 · 494001 (half) · 988002

Aliquot sum (sum of proper divisors): 1,174,158

Factor pairs (a × b = 988,002)

1 × 988002

2 × 494001

3 × 329334

6 × 164667

9 × 109778

18 × 54889

131 × 7542

262 × 3771

393 × 2514

419 × 2358

786 × 1257

838 × 1179

First multiples

988,002 · 1,976,004 (double) · 2,964,006 · 3,952,008 · 4,940,010 · 5,928,012 · 6,916,014 · 7,904,016 · 8,892,018 · 9,880,020

Sums & aliquot sequence

As consecutive integers: 329,333 + 329,334 + 329,335 246,999 + 247,000 + 247,001 + 247,002 109,774 + 109,775 + … + 109,782 82,328 + 82,329 + … + 82,339

Aliquot sequence: 988,002 → 1,174,158 → 1,564,578 → 2,025,450 → 4,203,318 → 6,520,434 → 6,996,366 → 9,907,794 → 13,344,552 → 26,458,848 → 57,197,088 → 117,980,460 → 271,435,476 → 434,164,524 → 578,886,060 → 1,041,995,076 → 1,587,143,100 — unresolved within range

Continued fraction of √n

√988,002 = [993; (1, 57, 2, 7, 1, 5, 1, 283, 7, 8, 4, 1, 3, 5, 8, 40, 2, 4, 2, 1, 2, 1, 1, 1, …)]

Representations

In words: nine hundred eighty-eight thousand two
Ordinal: 988002nd
Binary: 11110001001101100010
Octal: 3611542
Hexadecimal: 0xF1362
Base64: DxNi
One's complement: 4,293,979,293 (32-bit)
Scientific notation: 9.88002 × 10⁵
As a duration: 988,002 s = 11 days, 10 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 1212012021200

quaternary (4) 3301031202

quinary (5) 223104002

senary (6) 33102030

septenary (7) 11253321

nonary (9) 1765250

undecimal (11) 615334

duodecimal (12) 3b7916

tridecimal (13) 287922

tetradecimal (14) 1ba0b8

pentadecimal (15) 147b1c

As an angle

988,002° = 2,744 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ϡπηβʹ
Chinese: 九十八萬八千零二
Chinese (financial): 玖拾捌萬捌仟零貳

In other modern scripts

Eastern Arabic ٩٨٨٠٠٢ Devanagari ९८८००२ Bengali ৯৮৮০০২ Tamil ௯௮௮௦௦௨ Thai ๙๘๘๐๐๒ Tibetan ༩༨༨༠༠༢ Khmer ៩៨៨០០២ Lao ໙໘໘໐໐໒ Burmese ၉၈၈၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988002, here are decompositions:

5 + 987997 = 988002
11 + 987991 = 988002
19 + 987983 = 988002
23 + 987979 = 988002
31 + 987971 = 988002
61 + 987941 = 988002
73 + 987929 = 988002
89 + 987913 = 988002

Showing the first eight; more decompositions exist.

Hex color

#0F1362

RGB(15, 19, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.98.

Address: 0.15.19.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.98

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 988,002 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 US988,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988002 first appears in π at position 870,448 of the decimal expansion (the 870,448ordinal-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 988002 on Pi Search ↗