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3,696

3,696 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
6,963
Recamán's sequence
a(1,020) = 3,696
Square (n²)
13,660,416
Cube (n³)
50,488,897,536
Divisor count
40
σ(n) — sum of divisors
11,904
φ(n) — Euler's totient
960
Sum of prime factors
29

Primality

Prime factorization: 2 4 × 3 × 7 × 11

Nearest primes: 3,691 (−5) · 3,697 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 24 · 28 · 33 · 42 · 44 · 48 · 56 · 66 · 77 · 84 · 88 · 112 · 132 · 154 · 168 · 176 · 231 · 264 · 308 · 336 · 462 · 528 · 616 · 924 · 1232 · 1848 (half) · 3696
Aliquot sum (sum of proper divisors): 8,208
Factor pairs (a × b = 3,696)
1 × 3696
2 × 1848
3 × 1232
4 × 924
6 × 616
7 × 528
8 × 462
11 × 336
12 × 308
14 × 264
16 × 231
21 × 176
22 × 168
24 × 154
28 × 132
33 × 112
42 × 88
44 × 84
48 × 77
56 × 66
First multiples
3,696 · 7,392 (double) · 11,088 · 14,784 · 18,480 · 22,176 · 25,872 · 29,568 · 33,264 · 36,960

Sums & aliquot sequence

As consecutive integers: 1,231 + 1,232 + 1,233 525 + 526 + … + 531 331 + 332 + … + 341 166 + 167 + … + 186
Aliquot sequence: 3,696 8,208 16,592 18,004 18,060 41,076 78,316 78,372 148,764 310,884 518,364 1,224,468 2,427,180 5,341,140 13,982,892 27,896,148 56,214,060 — unresolved within range

Representations

In words
three thousand six hundred ninety-six
Ordinal
3696th
Roman numeral
MMMDCXCVI
Binary
111001110000
Octal
7160
Hexadecimal
0xE70
Base64
DnA=
One's complement
61,839 (16-bit)
In other bases
ternary (3) 12001220
quaternary (4) 321300
quinary (5) 104241
senary (6) 25040
septenary (7) 13530
nonary (9) 5056
undecimal (11) 2860
duodecimal (12) 2180
tridecimal (13) 18b4
tetradecimal (14) 14c0
pentadecimal (15) 1166

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γχϟϛʹ
Mayan (base 20)
𝋩·𝋤·𝋰
Chinese
三千六百九十六
Chinese (financial)
參仟陸佰玖拾陸
In other modern scripts
Eastern Arabic ٣٦٩٦ Devanagari ३६९६ Bengali ৩৬৯৬ Tamil ௩௬௯௬ Thai ๓๖๙๖ Tibetan ༣༦༩༦ Khmer ៣៦៩៦ Lao ໓໖໙໖ Burmese ၃၆၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,696 = 9
e — Euler's number (e)
Digit 3,696 = 7
φ — Golden ratio (φ)
Digit 3,696 = 1
√2 — Pythagoras's (√2)
Digit 3,696 = 8
ln 2 — Natural log of 2
Digit 3,696 = 5
γ — Euler-Mascheroni (γ)
Digit 3,696 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3696, here are decompositions:

  • 5 + 3691 = 3696
  • 19 + 3677 = 3696
  • 23 + 3673 = 3696
  • 37 + 3659 = 3696
  • 53 + 3643 = 3696
  • 59 + 3637 = 3696
  • 73 + 3623 = 3696
  • 79 + 3617 = 3696

Showing the first eight; more decompositions exist.

Hex color
#000E70
RGB(0, 14, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.112.

Address
0.0.14.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.112

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000003696
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 3696 first appears in π at position 23,791 of the decimal expansion (the 23,791ordinal-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.