number.wiki
Live analysis

42,224

42,224 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 Arithmetic Number Happy Number Harshad / Niven Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
128
Digital root
5
Palindrome
Yes
Bit width
16 bits
Recamán's sequence
a(151,175) = 42,224
Square (n²)
1,782,866,176
Cube (n³)
75,279,741,415,424
Divisor count
40
σ(n) — sum of divisors
104,160
φ(n) — Euler's totient
16,128
Sum of prime factors
57

Primality

Prime factorization: 2 4 × 7 × 13 × 29

Nearest primes: 42,223 (−1) · 42,227 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 29 · 52 · 56 · 58 · 91 · 104 · 112 · 116 · 182 · 203 · 208 · 232 · 364 · 377 · 406 · 464 · 728 · 754 · 812 · 1456 · 1508 · 1624 · 2639 · 3016 · 3248 · 5278 · 6032 · 10556 · 21112 (half) · 42224
Aliquot sum (sum of proper divisors): 61,936
Factor pairs (a × b = 42,224)
1 × 42224
2 × 21112
4 × 10556
7 × 6032
8 × 5278
13 × 3248
14 × 3016
16 × 2639
26 × 1624
28 × 1508
29 × 1456
52 × 812
56 × 754
58 × 728
91 × 464
104 × 406
112 × 377
116 × 364
182 × 232
203 × 208
First multiples
42,224 · 84,448 (double) · 126,672 · 168,896 · 211,120 · 253,344 · 295,568 · 337,792 · 380,016 · 422,240

Sums & aliquot sequence

As consecutive integers: 6,029 + 6,030 + … + 6,035 3,242 + 3,243 + … + 3,254 1,442 + 1,443 + … + 1,470 1,304 + 1,305 + … + 1,335
Aliquot sequence: 42,224 61,936 79,424 89,740 125,972 149,548 158,452 158,508 339,444 668,556 1,302,504 2,419,416 4,607,784 7,871,826 7,871,838 9,484,578 11,128,170 — unresolved within range

Representations

In words
forty-two thousand two hundred twenty-four
Ordinal
42224th
Binary
1010010011110000
Octal
122360
Hexadecimal
0xA4F0
Base64
pPA=
One's complement
23,311 (16-bit)
In other bases
ternary (3) 2010220212
quaternary (4) 22103300
quinary (5) 2322344
senary (6) 523252
septenary (7) 234050
nonary (9) 63825
undecimal (11) 297a6
duodecimal (12) 20528
tridecimal (13) 162b0
tetradecimal (14) 11560
pentadecimal (15) c79e

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβσκδʹ
Mayan (base 20)
𝋥·𝋥·𝋫·𝋤
Chinese
四萬二千二百二十四
Chinese (financial)
肆萬貳仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ٤٢٢٢٤ Devanagari ४२२२४ Bengali ৪২২২৪ Tamil ௪௨௨௨௪ Thai ๔๒๒๒๔ Tibetan ༤༢༢༢༤ Khmer ៤២២២៤ Lao ໔໒໒໒໔ Burmese ၄၂၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 42,224 = 7
e — Euler's number (e)
Digit 42,224 = 7
φ — Golden ratio (φ)
Digit 42,224 = 0
√2 — Pythagoras's (√2)
Digit 42,224 = 2
ln 2 — Natural log of 2
Digit 42,224 = 7
γ — Euler-Mascheroni (γ)
Digit 42,224 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42224, here are decompositions:

  • 3 + 42221 = 42224
  • 31 + 42193 = 42224
  • 37 + 42187 = 42224
  • 43 + 42181 = 42224
  • 67 + 42157 = 42224
  • 151 + 42073 = 42224
  • 163 + 42061 = 42224
  • 181 + 42043 = 42224

Showing the first eight; more decompositions exist.

Unicode codepoint
Lisu Letter E
U+A4F0
Other letter (Lo)

UTF-8 encoding: EA 93 B0 (3 bytes).

Hex color
#00A4F0
RGB(0, 164, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.240.

Address
0.0.164.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.240

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

Position in π

The digit sequence 42224 first appears in π at position 382,576 of the decimal expansion (the 382,576ordinal-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.