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42,084

42,084 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 Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
48,024
Recamán's sequence
a(151,455) = 42,084
Square (n²)
1,771,063,056
Cube (n³)
74,533,417,648,704
Divisor count
36
σ(n) — sum of divisors
122,304
φ(n) — Euler's totient
11,952
Sum of prime factors
184

Primality

Prime factorization: 2 2 × 3 2 × 7 × 167

Nearest primes: 42,083 (−1) · 42,089 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 167 · 252 · 334 · 501 · 668 · 1002 · 1169 · 1503 · 2004 · 2338 · 3006 · 3507 · 4676 · 6012 · 7014 · 10521 · 14028 · 21042 (half) · 42084
Aliquot sum (sum of proper divisors): 80,220
Factor pairs (a × b = 42,084)
1 × 42084
2 × 21042
3 × 14028
4 × 10521
6 × 7014
7 × 6012
9 × 4676
12 × 3507
14 × 3006
18 × 2338
21 × 2004
28 × 1503
36 × 1169
42 × 1002
63 × 668
84 × 501
126 × 334
167 × 252
First multiples
42,084 · 84,168 (double) · 126,252 · 168,336 · 210,420 · 252,504 · 294,588 · 336,672 · 378,756 · 420,840

Sums & aliquot sequence

As consecutive integers: 14,027 + 14,028 + 14,029 6,009 + 6,010 + … + 6,015 5,257 + 5,258 + … + 5,264 4,672 + 4,673 + … + 4,680
Aliquot sequence: 42,084 80,220 177,828 319,452 532,644 975,324 1,782,564 2,971,164 5,404,644 10,749,340 15,049,412 15,331,708 19,141,892 24,833,788 25,721,108 25,993,324 26,922,056 — unresolved within range

Representations

In words
forty-two thousand eighty-four
Ordinal
42084th
Binary
1010010001100100
Octal
122144
Hexadecimal
0xA464
Base64
pGQ=
One's complement
23,451 (16-bit)
In other bases
ternary (3) 2010201200
quaternary (4) 22101210
quinary (5) 2321314
senary (6) 522500
septenary (7) 233460
nonary (9) 63650
undecimal (11) 29689
duodecimal (12) 20430
tridecimal (13) 16203
tetradecimal (14) 114a0
pentadecimal (15) c709

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβπδʹ
Mayan (base 20)
𝋥·𝋥·𝋤·𝋤
Chinese
四萬二千零八十四
Chinese (financial)
肆萬貳仟零捌拾肆
In other modern scripts
Eastern Arabic ٤٢٠٨٤ Devanagari ४२०८४ Bengali ৪২০৮৪ Tamil ௪௨௦௮௪ Thai ๔๒๐๘๔ Tibetan ༤༢༠༨༤ Khmer ៤២០៨៤ Lao ໔໒໐໘໔ Burmese ၄၂၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 42,084 = 9
e — Euler's number (e)
Digit 42,084 = 6
φ — Golden ratio (φ)
Digit 42,084 = 8
√2 — Pythagoras's (√2)
Digit 42,084 = 6
ln 2 — Natural log of 2
Digit 42,084 = 5
γ — Euler-Mascheroni (γ)
Digit 42,084 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42084, here are decompositions:

  • 11 + 42073 = 42084
  • 13 + 42071 = 42084
  • 23 + 42061 = 42084
  • 41 + 42043 = 42084
  • 61 + 42023 = 42084
  • 67 + 42017 = 42084
  • 71 + 42013 = 42084
  • 101 + 41983 = 42084

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Xiep
U+A464
Other letter (Lo)

UTF-8 encoding: EA 91 A4 (3 bytes).

Hex color
#00A464
RGB(0, 164, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.100.

Address
0.0.164.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.100

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000042084
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 42084 first appears in π at position 105,156 of the decimal expansion (the 105,156ordinal-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.