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3,992

3,992 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
2,993
Recamán's sequence
a(14,407) = 3,992
Square (n²)
15,936,064
Cube (n³)
63,616,767,488
Divisor count
8
σ(n) — sum of divisors
7,500
φ(n) — Euler's totient
1,992
Sum of prime factors
505

Primality

Prime factorization: 2 3 × 499

Nearest primes: 3,989 (−3) · 4,001 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 499 · 998 · 1996 (half) · 3992
Aliquot sum (sum of proper divisors): 3,508
Factor pairs (a × b = 3,992)
1 × 3992
2 × 1996
4 × 998
8 × 499
First multiples
3,992 · 7,984 (double) · 11,976 · 15,968 · 19,960 · 23,952 · 27,944 · 31,936 · 35,928 · 39,920

Sums & aliquot sequence

As consecutive integers: 242 + 243 + … + 257
Aliquot sequence: 3,992 3,508 2,638 1,322 664 596 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
three thousand nine hundred ninety-two
Ordinal
3992nd
Roman numeral
MMMCMXCII
Binary
111110011000
Octal
7630
Hexadecimal
0xF98
Base64
D5g=
One's complement
61,543 (16-bit)
In other bases
ternary (3) 12110212
quaternary (4) 332120
quinary (5) 111432
senary (6) 30252
septenary (7) 14432
nonary (9) 5425
undecimal (11) 2aaa
duodecimal (12) 2388
tridecimal (13) 1a81
tetradecimal (14) 1652
pentadecimal (15) 12b2

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵γϡϟβʹ
Mayan (base 20)
𝋩·𝋳·𝋬
Chinese
三千九百九十二
Chinese (financial)
參仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ٣٩٩٢ Devanagari ३९९२ Bengali ৩৯৯২ Tamil ௩௯௯௨ Thai ๓๙๙๒ Tibetan ༣༩༩༢ Khmer ៣៩៩២ Lao ໓໙໙໒ Burmese ၃၉၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 3,992 = 2
e — Euler's number (e)
Digit 3,992 = 7
φ — Golden ratio (φ)
Digit 3,992 = 3
√2 — Pythagoras's (√2)
Digit 3,992 = 5
ln 2 — Natural log of 2
Digit 3,992 = 4
γ — Euler-Mascheroni (γ)
Digit 3,992 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3992, here are decompositions:

  • 3 + 3989 = 3992
  • 61 + 3931 = 3992
  • 73 + 3919 = 3992
  • 103 + 3889 = 3992
  • 139 + 3853 = 3992
  • 199 + 3793 = 3992
  • 223 + 3769 = 3992
  • 283 + 3709 = 3992

Showing the first eight; more decompositions exist.

Hex color
#000F98
RGB(0, 15, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.152.

Address
0.0.15.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.152

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

Position in π

The digit sequence 3992 first appears in π at position 10,871 of the decimal expansion (the 10,871ordinal-suffix:st 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.