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42,216

42,216 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.).

42,216 (forty-two thousand two hundred sixteen) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 1,759. Its proper divisors sum to 63,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA4E8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
61,224
Recamán's sequence
a(151,191) = 42,216
Square (n²)
1,782,190,656
Cube (n³)
75,236,960,733,696
Divisor count
16
σ(n) — sum of divisors
105,600
φ(n) — Euler's totient
14,064
Sum of prime factors
1,768

Primality

Prime factorization: 2 3 × 3 × 1759

Nearest primes: 42,209 (−7) · 42,221 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 1759 · 3518 · 5277 · 7036 · 10554 · 14072 · 21108 (half) · 42216
Aliquot sum (sum of proper divisors): 63,384
Factor pairs (a × b = 42,216)
1 × 42216
2 × 21108
3 × 14072
4 × 10554
6 × 7036
8 × 5277
12 × 3518
24 × 1759
First multiples
42,216 · 84,432 (double) · 126,648 · 168,864 · 211,080 · 253,296 · 295,512 · 337,728 · 379,944 · 422,160

Sums & aliquot sequence

As consecutive integers: 14,071 + 14,072 + 14,073 2,631 + 2,632 + … + 2,646 856 + 857 + … + 903
Aliquot sequence: 42,216 63,384 104,616 178,914 178,926 211,602 211,614 244,338 249,198 261,858 289,662 315,138 327,678 378,258 411,438 429,522 480,270 — unresolved within range

Continued fraction of √n

√42,216 = [205; (2, 6, 1, 2, 2, 4, 4, 10, 27, 3, 2, 1, 3, 1, 1, 1, 2, 16, 17, 16, 2, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand two hundred sixteen
Ordinal
42216th
Binary
1010010011101000
Octal
122350
Hexadecimal
0xA4E8
Base64
pOg=
One's complement
23,319 (16-bit)
Scientific notation
4.2216 × 10⁴
As a duration
42,216 s = 11 hours, 43 minutes, 36 seconds
In other bases
ternary (3) 2010220120
quaternary (4) 22103220
quinary (5) 2322331
senary (6) 523240
septenary (7) 234036
nonary (9) 63816
undecimal (11) 29799
duodecimal (12) 20520
tridecimal (13) 162a5
tetradecimal (14) 11556
pentadecimal (15) c796

As an angle

42,216° = 117 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβσιϛʹ
Mayan (base 20)
𝋥·𝋥·𝋪·𝋰
Chinese
四萬二千二百一十六
Chinese (financial)
肆萬貳仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ٤٢٢١٦ Devanagari ४२२१६ Bengali ৪২২১৬ Tamil ௪௨௨௧௬ Thai ๔๒๒๑๖ Tibetan ༤༢༢༡༦ Khmer ៤២២១៦ Lao ໔໒໒໑໖ Burmese ၄၂၂၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 42,216 = 6
e — Euler's number (e)
Digit 42,216 = 1
φ — Golden ratio (φ)
Digit 42,216 = 0
√2 — Pythagoras's (√2)
Digit 42,216 = 0
ln 2 — Natural log of 2
Digit 42,216 = 4
γ — Euler-Mascheroni (γ)
Digit 42,216 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42216, here are decompositions:

  • 7 + 42209 = 42216
  • 19 + 42197 = 42216
  • 23 + 42193 = 42216
  • 29 + 42187 = 42216
  • 37 + 42179 = 42216
  • 47 + 42169 = 42216
  • 59 + 42157 = 42216
  • 127 + 42089 = 42216

Showing the first eight; more decompositions exist.

Unicode codepoint
Lisu Letter Hha
U+A4E8
Other letter (Lo)

UTF-8 encoding: EA 93 A8 (3 bytes).

Hex color
#00A4E8
RGB(0, 164, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.232.

Address
0.0.164.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.232

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

Position in π

The digit sequence 42216 first appears in π at position 73,368 of the decimal expansion (the 73,368ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.