Live analysis

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.).

40,002 (forty thousand two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 59 × 113. Its proper divisors sum to 42,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x9C42.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

39,990 39,991 39,992 39,993 39,994 39,995 39,996 39,997 39,998 39,999 40,000 40,001 40,002 40,003 40,004 40,005 40,006 40,007 40,008 40,009 40,010 40,011 40,012 40,013 40,014

less more

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

Continued fraction of √n

√40,002 = [200; (200, 400)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: forty thousand two
Ordinal: 40002nd
Binary: 1001110001000010
Octal: 116102
Hexadecimal: 0x9C42
Base64: nEI=
One's complement: 25,533 (16-bit)
Scientific notation: 4.0002 × 10⁴
As a duration: 40,002 s = 11 hours, 6 minutes, 42 seconds

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

As an angle

40,002° = 111 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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

鱂

CJK Unified Ideograph-9C42

U+9C42

Other letter (Lo)

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

Lookup U+9C42 on Compart ↗ Lookup on FileFormat.Info ↗

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.

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.

Look up 40002 on Pi Search ↗