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42,016

42,016 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.).
Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
61,024
Recamán's sequence
a(151,591) = 42,016
Square (n²)
1,765,344,256
Cube (n³)
74,172,704,260,096
Divisor count
24
σ(n) — sum of divisors
89,964
φ(n) — Euler's totient
19,200
Sum of prime factors
124

Primality

Prime factorization: 2 5 × 13 × 101

Nearest primes: 42,013 (−3) · 42,017 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 101 · 104 · 202 · 208 · 404 · 416 · 808 · 1313 · 1616 · 2626 · 3232 · 5252 · 10504 · 21008 (half) · 42016
Aliquot sum (sum of proper divisors): 47,948
Factor pairs (a × b = 42,016)
1 × 42016
2 × 21008
4 × 10504
8 × 5252
13 × 3232
16 × 2626
26 × 1616
32 × 1313
52 × 808
101 × 416
104 × 404
202 × 208
First multiples
42,016 · 84,032 (double) · 126,048 · 168,064 · 210,080 · 252,096 · 294,112 · 336,128 · 378,144 · 420,160

Sums & aliquot sequence

As a sum of two squares: 20² + 204² = 60² + 196²
As consecutive integers: 3,226 + 3,227 + … + 3,238 625 + 626 + … + 688 366 + 367 + … + 466
Aliquot sequence: 42,016 47,948 35,968 35,942 17,974 13,706 12,214 6,794 3,766 2,714 1,606 1,058 601 1 0 — terminates at zero

Representations

In words
forty-two thousand sixteen
Ordinal
42016th
Binary
1010010000100000
Octal
122040
Hexadecimal
0xA420
Base64
pCA=
One's complement
23,519 (16-bit)
In other bases
ternary (3) 2010122011
quaternary (4) 22100200
quinary (5) 2321031
senary (6) 522304
septenary (7) 233332
nonary (9) 63564
undecimal (11) 29627
duodecimal (12) 20394
tridecimal (13) 16180
tetradecimal (14) 11452
pentadecimal (15) c6b1

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβιϛʹ
Mayan (base 20)
𝋥·𝋥·𝋠·𝋰
Chinese
四萬二千零一十六
Chinese (financial)
肆萬貳仟零壹拾陸
In other modern scripts
Eastern Arabic ٤٢٠١٦ Devanagari ४२०१६ Bengali ৪২০১৬ Tamil ௪௨௦௧௬ Thai ๔๒๐๑๖ Tibetan ༤༢༠༡༦ Khmer ៤២០១៦ Lao ໔໒໐໑໖ Burmese ၄၂၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 42,016 = 6
e — Euler's number (e)
Digit 42,016 = 8
φ — Golden ratio (φ)
Digit 42,016 = 6
√2 — Pythagoras's (√2)
Digit 42,016 = 2
ln 2 — Natural log of 2
Digit 42,016 = 9
γ — Euler-Mascheroni (γ)
Digit 42,016 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42016, here are decompositions:

  • 3 + 42013 = 42016
  • 17 + 41999 = 42016
  • 47 + 41969 = 42016
  • 59 + 41957 = 42016
  • 89 + 41927 = 42016
  • 113 + 41903 = 42016
  • 137 + 41879 = 42016
  • 167 + 41849 = 42016

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Jjuox
U+A420
Other letter (Lo)

UTF-8 encoding: EA 90 A0 (3 bytes).

Hex color
#00A420
RGB(0, 164, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.32.

Address
0.0.164.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.32

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

Position in π

The digit sequence 42016 first appears in π at position 66,273 of the decimal expansion (the 66,273ordinal-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.