Live analysis

84,006

84,006 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.).

84,006 (eighty-four thousand six) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 359. Its proper divisors sum to 112,554, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14826.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

83,994 83,995 83,996 83,997 83,998 83,999 84,000 84,001 84,002 84,003 84,004 84,005 84,006 84,007 84,008 84,009 84,010 84,011 84,012 84,013 84,014 84,015 84,016 84,017 84,018

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 60,048
Recamán's sequence: a(269,136) = 84,006
Square (n²): 7,057,008,036
Cube (n³): 592,831,017,072,216
Divisor count: 24
σ(n) — sum of divisors: 196,560
φ(n) — Euler's totient: 25,776
Sum of prime factors: 380

Primality

Prime factorization: 2 × 3 ² × 13 × 359

Nearest primes: 83,987 (−19) · 84,011 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 359 · 718 · 1077 · 2154 · 3231 · 4667 · 6462 · 9334 · 14001 · 28002 · 42003 (half) · 84006

Aliquot sum (sum of proper divisors): 112,554

Factor pairs (a × b = 84,006)

1 × 84006

2 × 42003

3 × 28002

6 × 14001

9 × 9334

13 × 6462

18 × 4667

26 × 3231

39 × 2154

78 × 1077

117 × 718

234 × 359

First multiples

84,006 · 168,012 (double) · 252,018 · 336,024 · 420,030 · 504,036 · 588,042 · 672,048 · 756,054 · 840,060

Sums & aliquot sequence

As consecutive integers: 28,001 + 28,002 + 28,003 21,000 + 21,001 + 21,002 + 21,003 9,330 + 9,331 + … + 9,338 6,995 + 6,996 + … + 7,006

Aliquot sequence: 84,006 → 112,554 → 158,652 → 288,228 → 384,332 → 380,068 → 336,312 → 613,728 → 1,132,380 → 2,445,012 → 3,894,188 → 2,920,648 → 2,744,852 → 2,495,404 → 1,871,560 → 2,405,240 → 3,055,240 — unresolved within range

Continued fraction of √n

√84,006 = [289; (1, 5, 5, 1, 14, 2, 2, 1, 1, 57, 2, 1, 1, 1, 1, 6, 1, 1, 5, 1, 1, 3, 4, 22, …)]

Representations

In words: eighty-four thousand six
Ordinal: 84006th
Binary: 10100100000100110
Octal: 244046
Hexadecimal: 0x14826
Base64: AUgm
One's complement: 4,294,883,289 (32-bit)
Scientific notation: 8.4006 × 10⁴
As a duration: 84,006 s = 23 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 11021020100

quaternary (4) 110200212

quinary (5) 10142011

senary (6) 1444530

septenary (7) 466626

nonary (9) 137210

undecimal (11) 5812a

duodecimal (12) 40746

tridecimal (13) 2c310

tetradecimal (14) 22886

pentadecimal (15) 19d56

As an angle

84,006° = 233 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵πδϛʹ
Mayan (base 20): 𝋪·𝋪·𝋠·𝋦
Chinese: 八萬四千零六
Chinese (financial): 捌萬肆仟零陸

In other modern scripts

Eastern Arabic ٨٤٠٠٦ Devanagari ८४००६ Bengali ৮৪০০৬ Tamil ௮௪௦௦௬ Thai ๘๔๐๐๖ Tibetan ༨༤༠༠༦ Khmer ៨៤០០៦ Lao ໘໔໐໐໖ Burmese ၈၄၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 84,006 = 3
e — Euler's number (e): Digit 84,006 = 1
φ — Golden ratio (φ): Digit 84,006 = 9
√2 — Pythagoras's (√2): Digit 84,006 = 7
ln 2 — Natural log of 2: Digit 84,006 = 1
γ — Euler-Mascheroni (γ): Digit 84,006 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84006, here are decompositions:

19 + 83987 = 84006
23 + 83983 = 84006
37 + 83969 = 84006
67 + 83939 = 84006
73 + 83933 = 84006
103 + 83903 = 84006
137 + 83869 = 84006
149 + 83857 = 84006

Showing the first eight; more decompositions exist.

Hex color

#014826

RGB(1, 72, 38)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.38.

Address: 0.1.72.38
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.72.38

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

Position in π

The digit sequence 84006 first appears in π at position 74,503 of the decimal expansion (the 74,503ordinal-suffix:rd 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 84006 on Pi Search ↗