Live analysis

42,006

42,006 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.).

42,006 (forty-two thousand six) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 7,001. Its proper divisors sum to 42,018, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA416.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

41,994 41,995 41,996 41,997 41,998 41,999 42,000 42,001 42,002 42,003 42,004 42,005 42,006 42,007 42,008 42,009 42,010 42,011 42,012 42,013 42,014 42,015 42,016 42,017 42,018

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 16 bits
Reversed: 60,024
Recamán's sequence: a(151,611) = 42,006
Square (n²): 1,764,504,036
Cube (n³): 74,119,756,536,216
Divisor count: 8
σ(n) — sum of divisors: 84,024
φ(n) — Euler's totient: 14,000
Sum of prime factors: 7,006

Primality

Prime factorization: 2 × 3 × 7001

Nearest primes: 41,999 (−7) · 42,013 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 7001 · 14002 · 21003 (half) · 42006

Aliquot sum (sum of proper divisors): 42,018

Factor pairs (a × b = 42,006)

1 × 42006

2 × 21003

3 × 14002

6 × 7001

First multiples

42,006 · 84,012 (double) · 126,018 · 168,024 · 210,030 · 252,036 · 294,042 · 336,048 · 378,054 · 420,060

Sums & aliquot sequence

As consecutive integers: 14,001 + 14,002 + 14,003 10,500 + 10,501 + 10,502 + 10,503 3,495 + 3,496 + … + 3,506

Aliquot sequence: 42,006 → 42,018 → 44,382 → 51,378 → 51,390 → 82,458 → 102,672 → 206,832 → 348,688 → 405,232 → 467,728 → 532,208 → 598,672 → 686,960 → 967,696 → 968,688 → 2,232,744 — unresolved within range

Continued fraction of √n

√42,006 = [204; (1, 20, 1, 1, 2, 1, 3, 3, 3, 2, 1, 1, 2, 2, 7, 1, 3, 1, 1, 8, 1, 40, 10, 2, …)]

Representations

In words: forty-two thousand six
Ordinal: 42006th
Binary: 1010010000010110
Octal: 122026
Hexadecimal: 0xA416
Base64: pBY=
One's complement: 23,529 (16-bit)
Scientific notation: 4.2006 × 10⁴
As a duration: 42,006 s = 11 hours, 40 minutes, 6 seconds

In other bases

ternary (3) 2010121210

quaternary (4) 22100112

quinary (5) 2321011

senary (6) 522250

septenary (7) 233316

nonary (9) 63553

undecimal (11) 29618

duodecimal (12) 20386

tridecimal (13) 16173

tetradecimal (14) 11446

pentadecimal (15) c6a6

As an angle

42,006° = 116 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβϛʹ
Mayan (base 20): 𝋥·𝋥·𝋠·𝋦
Chinese: 四萬二千零六
Chinese (financial): 肆萬貳仟零陸

In other modern scripts

Eastern Arabic ٤٢٠٠٦ Devanagari ४२००६ Bengali ৪২০০৬ Tamil ௪௨௦௦௬ Thai ๔๒๐๐๖ Tibetan ༤༢༠༠༦ Khmer ៤២០០៦ Lao ໔໒໐໐໖ Burmese ၄၂၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 42,006 = 7
e — Euler's number (e): Digit 42,006 = 5
φ — Golden ratio (φ): Digit 42,006 = 9
√2 — Pythagoras's (√2): Digit 42,006 = 4
ln 2 — Natural log of 2: Digit 42,006 = 3
γ — Euler-Mascheroni (γ): Digit 42,006 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42006, here are decompositions:

7 + 41999 = 42006
23 + 41983 = 42006
37 + 41969 = 42006
47 + 41959 = 42006
53 + 41953 = 42006
59 + 41947 = 42006
79 + 41927 = 42006
103 + 41903 = 42006

Showing the first eight; more decompositions exist.

Unicode codepoint

ꐖ

Yi Syllable Qyrx

U+A416

Other letter (Lo)

UTF-8 encoding: EA 90 96 (3 bytes).

Lookup U+A416 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A416

RGB(0, 164, 22)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.22.

Address: 0.0.164.22
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.164.22

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

Position in π

The digit sequence 42006 first appears in π at position 139,268 of the decimal expansion (the 139,268ordinal-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 42006 on Pi Search ↗