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2,968

2,968 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
8,692
Recamán's sequence
a(1,239) = 2,968
Square (n²)
8,809,024
Cube (n³)
26,145,183,232
Divisor count
16
σ(n) — sum of divisors
6,480
φ(n) — Euler's totient
1,248
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 7 × 53

Nearest primes: 2,963 (−5) · 2,969 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 53 · 56 · 106 · 212 · 371 · 424 · 742 · 1484 (half) · 2968
Aliquot sum (sum of proper divisors): 3,512
Factor pairs (a × b = 2,968)
1 × 2968
2 × 1484
4 × 742
7 × 424
8 × 371
14 × 212
28 × 106
53 × 56
First multiples
2,968 · 5,936 (double) · 8,904 · 11,872 · 14,840 · 17,808 · 20,776 · 23,744 · 26,712 · 29,680

Sums & aliquot sequence

As consecutive integers: 421 + 422 + … + 427 178 + 179 + … + 193 30 + 31 + … + 82
Aliquot sequence: 2,968 3,512 3,088 2,926 2,834 1,786 1,094 550 566 286 218 112 136 134 70 74 40 — unresolved within range

Representations

In words
two thousand nine hundred sixty-eight
Ordinal
2968th
Roman numeral
MMCMLXVIII
Binary
101110011000
Octal
5630
Hexadecimal
0xB98
Base64
C5g=
One's complement
62,567 (16-bit)
In other bases
ternary (3) 11001221
quaternary (4) 232120
quinary (5) 43333
senary (6) 21424
septenary (7) 11440
nonary (9) 4057
undecimal (11) 2259
duodecimal (12) 1874
tridecimal (13) 1474
tetradecimal (14) 1120
pentadecimal (15) d2d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βϡξηʹ
Mayan (base 20)
𝋧·𝋨·𝋨
Chinese
二千九百六十八
Chinese (financial)
貳仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ٢٩٦٨ Devanagari २९६८ Bengali ২৯৬৮ Tamil ௨௯௬௮ Thai ๒๙๖๘ Tibetan ༢༩༦༨ Khmer ២៩៦៨ Lao ໒໙໖໘ Burmese ၂၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,968 = 4
e — Euler's number (e)
Digit 2,968 = 7
φ — Golden ratio (φ)
Digit 2,968 = 8
√2 — Pythagoras's (√2)
Digit 2,968 = 0
ln 2 — Natural log of 2
Digit 2,968 = 4
γ — Euler-Mascheroni (γ)
Digit 2,968 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2968, here are decompositions:

  • 5 + 2963 = 2968
  • 11 + 2957 = 2968
  • 29 + 2939 = 2968
  • 41 + 2927 = 2968
  • 59 + 2909 = 2968
  • 71 + 2897 = 2968
  • 89 + 2879 = 2968
  • 107 + 2861 = 2968

Showing the first eight; more decompositions exist.

Hex color
#000B98
RGB(0, 11, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.152.

Address
0.0.11.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.11.152

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

Position in π

The digit sequence 2968 first appears in π at position 1,059 of the decimal expansion (the 1,059ordinal-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.