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40,002

40,002 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 Evil Number Harshad / Niven Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
20,004
Square (n²)
1,600,160,004
Cube (n³)
64,009,600,480,008
Divisor count
16
σ(n) — sum of divisors
82,080
φ(n) — Euler's totient
12,992
Sum of prime factors
177

Primality

Prime factorization: 2 × 3 × 59 × 113

Nearest primes: 39,989 (−13) · 40,009 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 59 · 113 · 118 · 177 · 226 · 339 · 354 · 678 · 6667 · 13334 · 20001 (half) · 40002
Aliquot sum (sum of proper divisors): 42,078
Factor pairs (a × b = 40,002)
1 × 40002
2 × 20001
3 × 13334
6 × 6667
59 × 678
113 × 354
118 × 339
177 × 226
First multiples
40,002 · 80,004 (double) · 120,006 · 160,008 · 200,010 · 240,012 · 280,014 · 320,016 · 360,018 · 400,020

Sums & aliquot sequence

As consecutive integers: 13,333 + 13,334 + 13,335 9,999 + 10,000 + 10,001 + 10,002 3,328 + 3,329 + … + 3,339 649 + 650 + … + 707
Aliquot sequence: 40,002 42,078 42,090 65,046 69,018 69,030 127,530 232,830 422,370 825,786 1,101,594 1,357,926 1,517,898 1,517,910 2,318,250 4,016,598 4,016,610 — unresolved within range

Representations

In words
forty thousand two
Ordinal
40002nd
Binary
1001110001000010
Octal
116102
Hexadecimal
0x9C42
Base64
nEI=
One's complement
25,533 (16-bit)
In other bases
ternary (3) 2000212120
quaternary (4) 21301002
quinary (5) 2240002
senary (6) 505110
septenary (7) 224424
nonary (9) 60776
undecimal (11) 28066
duodecimal (12) 1b196
tridecimal (13) 15291
tetradecimal (14) 10814
pentadecimal (15) bcbc

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓏺𓏺
Greek (Milesian)
͵μβʹ
Mayan (base 20)
𝋥·𝋠·𝋠·𝋢
Chinese
四萬零二
Chinese (financial)
肆萬零貳
In other modern scripts
Eastern Arabic ٤٠٠٠٢ Devanagari ४०००२ Bengali ৪০০০২ Tamil ௪௦௦௦௨ Thai ๔๐๐๐๒ Tibetan ༤༠༠༠༢ Khmer ៤០០០២ Lao ໔໐໐໐໒ Burmese ၄၀၀၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 40,002 = 1
e — Euler's number (e)
Digit 40,002 = 7
φ — Golden ratio (φ)
Digit 40,002 = 9
√2 — Pythagoras's (√2)
Digit 40,002 = 4
ln 2 — Natural log of 2
Digit 40,002 = 4
γ — Euler-Mascheroni (γ)
Digit 40,002 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40002, here are decompositions:

  • 13 + 39989 = 40002
  • 19 + 39983 = 40002
  • 23 + 39979 = 40002
  • 31 + 39971 = 40002
  • 73 + 39929 = 40002
  • 101 + 39901 = 40002
  • 139 + 39863 = 40002
  • 163 + 39839 = 40002

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9C42
U+9C42
Other letter (Lo)

UTF-8 encoding: E9 B1 82 (3 bytes).

Hex color
#009C42
RGB(0, 156, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.66.

Address
0.0.156.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.66

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
000040002
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 40002 first appears in π at position 38,966 of the decimal expansion (the 38,966ordinal-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.