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42,000

42,000 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 Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
24
Recamán's sequence
a(151,623) = 42,000
Square (n²)
1,764,000,000
Cube (n³)
74,088,000,000,000
Divisor count
80
σ(n) — sum of divisors
154,752
φ(n) — Euler's totient
9,600
Sum of prime factors
33

Primality

Prime factorization: 2 4 × 3 × 5 3 × 7

Nearest primes: 41,999 (−1) · 42,013 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 48 · 50 · 56 · 60 · 70 · 75 · 80 · 84 · 100 · 105 · 112 · 120 · 125 · 140 · 150 · 168 · 175 · 200 · 210 · 240 · 250 · 280 · 300 · 336 · 350 · 375 · 400 · 420 · 500 · 525 · 560 · 600 · 700 · 750 · 840 · 875 · 1000 · 1050 · 1200 · 1400 · 1500 · 1680 · 1750 · 2000 · 2100 · 2625 · 2800 · 3000 · 3500 · 4200 · 5250 · 6000 · 7000 · 8400 · 10500 · 14000 · 21000 (half) · 42000
Aliquot sum (sum of proper divisors): 112,752
Factor pairs (a × b = 42,000)
1 × 42000
2 × 21000
3 × 14000
4 × 10500
5 × 8400
6 × 7000
7 × 6000
8 × 5250
10 × 4200
12 × 3500
14 × 3000
15 × 2800
16 × 2625
20 × 2100
21 × 2000
24 × 1750
25 × 1680
28 × 1500
30 × 1400
35 × 1200
40 × 1050
42 × 1000
48 × 875
50 × 840
56 × 750
60 × 700
70 × 600
75 × 560
80 × 525
84 × 500
100 × 420
105 × 400
112 × 375
120 × 350
125 × 336
140 × 300
150 × 280
168 × 250
175 × 240
200 × 210
First multiples
42,000 · 84,000 (double) · 126,000 · 168,000 · 210,000 · 252,000 · 294,000 · 336,000 · 378,000 · 420,000

Sums & aliquot sequence

As consecutive integers: 13,999 + 14,000 + 14,001 8,398 + 8,399 + 8,400 + 8,401 + 8,402 5,997 + 5,998 + … + 6,003 2,793 + 2,794 + … + 2,807
Aliquot sequence: 42,000 112,752 225,768 364,632 547,008 1,306,176 2,150,256 3,404,696 3,012,544 3,036,720 6,377,856 11,578,224 24,633,744 39,003,552 91,028,448 227,308,032 577,997,568 — unresolved within range

Representations

In words
forty-two thousand
Ordinal
42000th
Binary
1010010000010000
Octal
122020
Hexadecimal
0xA410
Base64
pBA=
One's complement
23,535 (16-bit)
In other bases
ternary (3) 2010121120
quaternary (4) 22100100
quinary (5) 2321000
senary (6) 522240
septenary (7) 233310
nonary (9) 63546
undecimal (11) 29612
duodecimal (12) 20380
tridecimal (13) 1616a
tetradecimal (14) 11440
pentadecimal (15) c6a0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian)
͵μβ
Mayan (base 20)
𝋥·𝋥·𝋠·𝋠
Chinese
四萬二千
Chinese (financial)
肆萬貳仟
In other modern scripts
Eastern Arabic ٤٢٠٠٠ Devanagari ४२००० Bengali ৪২০০০ Tamil ௪௨௦௦௦ Thai ๔๒๐๐๐ Tibetan ༤༢༠༠༠ Khmer ៤២០០០ Lao ໔໒໐໐໐ Burmese ၄၂၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 42,000 = 4
e — Euler's number (e)
Digit 42,000 = 9
φ — Golden ratio (φ)
Digit 42,000 = 5
√2 — Pythagoras's (√2)
Digit 42,000 = 1
ln 2 — Natural log of 2
Digit 42,000 = 1
γ — Euler-Mascheroni (γ)
Digit 42,000 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42000, here are decompositions:

  • 17 + 41983 = 42000
  • 19 + 41981 = 42000
  • 31 + 41969 = 42000
  • 41 + 41959 = 42000
  • 43 + 41957 = 42000
  • 47 + 41953 = 42000
  • 53 + 41947 = 42000
  • 59 + 41941 = 42000

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Qurx
U+A410
Other letter (Lo)

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

Hex color
#00A410
RGB(0, 164, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.16.

Address
0.0.164.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.16

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
000042000
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 42000 first appears in π at position 213,698 of the decimal expansion (the 213,698ordinal-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.