Live analysis

4,008

4,008 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.).

4,008 (four thousand eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 167. Its proper divisors sum to 6,072, more than the number itself, making it an abundant number. Written other ways, in binary, 111110101000.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 4,015 4,016 4,017 4,018 4,019 4,020

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 8,004
Recamán's sequence: a(14,375) = 4,008
Square (n²): 16,064,064
Cube (n³): 64,384,768,512
Divisor count: 16
σ(n) — sum of divisors: 10,080
φ(n) — Euler's totient: 1,328
Sum of prime factors: 176

Primality

Prime factorization: 2 ³ × 3 × 167

Nearest primes: 4,007 (−1) · 4,013 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 167 · 334 · 501 · 668 · 1002 · 1336 · 2004 (half) · 4008

Aliquot sum (sum of proper divisors): 6,072

Factor pairs (a × b = 4,008)

1 × 4008

2 × 2004

3 × 1336

4 × 1002

6 × 668

8 × 501

12 × 334

24 × 167

First multiples

4,008 · 8,016 (double) · 12,024 · 16,032 · 20,040 · 24,048 · 28,056 · 32,064 · 36,072 · 40,080

Sums & aliquot sequence

As consecutive integers: 1,335 + 1,336 + 1,337 243 + 244 + … + 258 60 + 61 + … + 107

Aliquot sequence: 4,008 → 6,072 → 11,208 → 16,872 → 28,728 → 67,272 → 100,968 → 187,992 → 395,448 → 593,232 → 1,031,664 → 1,633,592 → 1,482,208 → 2,116,352 → 2,715,664 → 3,297,840 → 9,368,016 — unresolved within range

Continued fraction of √n

√4,008 = [63; (3, 4, 5, 3, 1, 1, 1, 4, 1, 1, 1, 3, 5, 4, 3, 126)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: four thousand eight
Ordinal: 4008th
Binary: 111110101000
Octal: 7650
Hexadecimal: 0xFA8
Base64: D6g=
One's complement: 61,527 (16-bit)
Scientific notation: 4.008 × 10³
As a duration: 4,008 s = 1 hour, 6 minutes, 48 seconds

In other bases

ternary (3) 12111110

quaternary (4) 332220

quinary (5) 112013

senary (6) 30320

septenary (7) 14454

nonary (9) 5443

undecimal (11) 3014

duodecimal (12) 23a0

tridecimal (13) 1a94

tetradecimal (14) 1664

pentadecimal (15) 12c3

As an angle

4,008° = 11 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δηʹ
Mayan (base 20): 𝋪·𝋠·𝋨
Chinese: 四千零八
Chinese (financial): 肆仟零捌

In other modern scripts

Eastern Arabic ٤٠٠٨ Devanagari ४००८ Bengali ৪০০৮ Tamil ௪௦௦௮ Thai ๔๐๐๘ Tibetan ༤༠༠༨ Khmer ៤០០៨ Lao ໔໐໐໘ Burmese ၄၀၀၈

Digit at this position in famous constants

π — Pi (π): Digit 4,008 = 0
e — Euler's number (e): Digit 4,008 = 8
φ — Golden ratio (φ): Digit 4,008 = 9
√2 — Pythagoras's (√2): Digit 4,008 = 4
ln 2 — Natural log of 2: Digit 4,008 = 2
γ — Euler-Mascheroni (γ): Digit 4,008 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4008, here are decompositions:

5 + 4003 = 4008
7 + 4001 = 4008
19 + 3989 = 4008
41 + 3967 = 4008
61 + 3947 = 4008
79 + 3929 = 4008
89 + 3919 = 4008
97 + 3911 = 4008

Showing the first eight; more decompositions exist.

Unicode codepoint

ྨ

Tibetan Subjoined Letter Ma

U+0FA8

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE A8 (3 bytes).

Lookup U+0FA8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FA8

RGB(0, 15, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.168.

Address: 0.0.15.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.168

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

Musical pitch

Heard as a frequency, 4,008 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +26¢)

Position in π

The digit sequence 4008 first appears in π at position 13,087 of the decimal expansion (the 13,087ordinal-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 4008 on Pi Search ↗