Live analysis

4,002

4,002 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.).

4,002 (four thousand two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 29. Its proper divisors sum to 4,638, more than the number itself, making it an abundant number. Written other ways, in binary, 111110100010.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,990 3,991 3,992 3,993 3,994 3,995 3,996 3,997 3,998 3,999 4,000 4,001 4,002 4,003 4,004 4,005 4,006 4,007 4,008 4,009 4,010 4,011 4,012 4,013 4,014

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 2,004
Recamán's sequence: a(14,387) = 4,002
Square (n²): 16,016,004
Cube (n³): 64,096,048,008
Divisor count: 16
σ(n) — sum of divisors: 8,640
φ(n) — Euler's totient: 1,232
Sum of prime factors: 57

Primality

Prime factorization: 2 × 3 × 23 × 29

Nearest primes: 4,001 (−1) · 4,003 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 23 · 29 · 46 · 58 · 69 · 87 · 138 · 174 · 667 · 1334 · 2001 (half) · 4002

Aliquot sum (sum of proper divisors): 4,638

Factor pairs (a × b = 4,002)

1 × 4002

2 × 2001

3 × 1334

6 × 667

23 × 174

29 × 138

46 × 87

58 × 69

First multiples

4,002 · 8,004 (double) · 12,006 · 16,008 · 20,010 · 24,012 · 28,014 · 32,016 · 36,018 · 40,020

Sums & aliquot sequence

As consecutive integers: 1,333 + 1,334 + 1,335 999 + 1,000 + 1,001 + 1,002 328 + 329 + … + 339 163 + 164 + … + 185

Aliquot sequence: 4,002 → 4,638 → 4,650 → 7,254 → 10,218 → 11,958 → 11,970 → 25,470 → 40,986 → 63,558 → 91,962 → 129,798 → 151,470 → 318,978 → 465,102 → 715,338 → 998,262 — unresolved within range

Continued fraction of √n

√4,002 = [63; (3, 1, 4, 1, 3, 126)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four thousand two
Ordinal: 4002nd
Binary: 111110100010
Octal: 7642
Hexadecimal: 0xFA2
Base64: D6I=
One's complement: 61,533 (16-bit)
Scientific notation: 4.002 × 10³
As a duration: 4,002 s = 1 hour, 6 minutes, 42 seconds

In other bases

ternary (3) 12111020

quaternary (4) 332202

quinary (5) 112002

senary (6) 30310

septenary (7) 14445

nonary (9) 5436

undecimal (11) 3009

duodecimal (12) 2396

tridecimal (13) 1a8b

tetradecimal (14) 165c

pentadecimal (15) 12bc

As an angle

4,002° = 11 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵δβʹ
Mayan (base 20): 𝋪·𝋠·𝋢
Chinese: 四千零二
Chinese (financial): 肆仟零貳

In other modern scripts

Eastern Arabic ٤٠٠٢ Devanagari ४००२ Bengali ৪০০২ Tamil ௪௦௦௨ Thai ๔๐๐๒ Tibetan ༤༠༠༢ Khmer ៤០០២ Lao ໔໐໐໒ Burmese ၄၀၀၂

Digit at this position in famous constants

π — Pi (π): Digit 4,002 = 6
e — Euler's number (e): Digit 4,002 = 2
φ — Golden ratio (φ): Digit 4,002 = 3
√2 — Pythagoras's (√2): Digit 4,002 = 4
ln 2 — Natural log of 2: Digit 4,002 = 9
γ — Euler-Mascheroni (γ): Digit 4,002 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4002, here are decompositions:

13 + 3989 = 4002
59 + 3943 = 4002
71 + 3931 = 4002
73 + 3929 = 4002
79 + 3923 = 4002
83 + 3919 = 4002
113 + 3889 = 4002
139 + 3863 = 4002

Showing the first eight; more decompositions exist.

Unicode codepoint

ྡྷ

Tibetan Subjoined Letter Dha

U+0FA2

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE A2 (3 bytes).

Lookup U+0FA2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FA2

RGB(0, 15, 162)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.162.

Address: 0.0.15.162
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.162

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

Musical pitch

Heard as a frequency, 4,002 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +23¢)

Position in π

The digit sequence 4002 first appears in π at position 4,366 of the decimal expansion (the 4,366ordinal-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 4002 on Pi Search ↗