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7,968

7,968 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 Happy Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
30
Digit product
3,024
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
8,697
Recamán's sequence
a(25,660) = 7,968
Square (n²)
63,489,024
Cube (n³)
505,880,543,232
Divisor count
24
σ(n) — sum of divisors
21,168
φ(n) — Euler's totient
2,624
Sum of prime factors
96

Primality

Prime factorization: 2 5 × 3 × 83

Nearest primes: 7,963 (−5) · 7,993 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 83 · 96 · 166 · 249 · 332 · 498 · 664 · 996 · 1328 · 1992 · 2656 · 3984 (half) · 7968
Aliquot sum (sum of proper divisors): 13,200
Factor pairs (a × b = 7,968)
1 × 7968
2 × 3984
3 × 2656
4 × 1992
6 × 1328
8 × 996
12 × 664
16 × 498
24 × 332
32 × 249
48 × 166
83 × 96
First multiples
7,968 · 15,936 (double) · 23,904 · 31,872 · 39,840 · 47,808 · 55,776 · 63,744 · 71,712 · 79,680

Sums & aliquot sequence

As consecutive integers: 2,655 + 2,656 + 2,657 93 + 94 + … + 156 55 + 56 + … + 137
Aliquot sequence: 7,968 13,200 32,928 67,872 137,760 370,272 839,328 1,680,672 3,568,992 7,462,560 19,414,752 39,516,960 110,473,440 339,497,760 899,132,640 2,384,205,600 6,485,101,728 — unresolved within range

Representations

In words
seven thousand nine hundred sixty-eight
Ordinal
7968th
Binary
1111100100000
Octal
17440
Hexadecimal
0x1F20
Base64
HyA=
One's complement
57,567 (16-bit)
In other bases
ternary (3) 101221010
quaternary (4) 1330200
quinary (5) 223333
senary (6) 100520
septenary (7) 32142
nonary (9) 11833
undecimal (11) 5a94
duodecimal (12) 4740
tridecimal (13) 381c
tetradecimal (14) 2c92
pentadecimal (15) 2563

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ζϡξηʹ
Mayan (base 20)
𝋳·𝋲·𝋨
Chinese
七千九百六十八
Chinese (financial)
柒仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ٧٩٦٨ Devanagari ७९६८ Bengali ৭৯৬৮ Tamil ௭௯௬௮ Thai ๗๙๖๘ Tibetan ༧༩༦༨ Khmer ៧៩៦៨ Lao ໗໙໖໘ Burmese ၇၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 7,968 = 2
e — Euler's number (e)
Digit 7,968 = 7
φ — Golden ratio (φ)
Digit 7,968 = 3
√2 — Pythagoras's (√2)
Digit 7,968 = 3
ln 2 — Natural log of 2
Digit 7,968 = 9
γ — Euler-Mascheroni (γ)
Digit 7,968 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7968, here are decompositions:

  • 5 + 7963 = 7968
  • 17 + 7951 = 7968
  • 19 + 7949 = 7968
  • 31 + 7937 = 7968
  • 41 + 7927 = 7968
  • 61 + 7907 = 7968
  • 67 + 7901 = 7968
  • 89 + 7879 = 7968

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Eta With Psili
U+1F20
Lowercase letter (Ll)

UTF-8 encoding: E1 BC A0 (3 bytes).

Hex color
#001F20
RGB(0, 31, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.32.

Address
0.0.31.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.32

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

Position in π

The digit sequence 7968 first appears in π at position 689 of the decimal expansion (the 689ordinal-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.