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13,416

13,416 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
61,431
Recamán's sequence
a(47,443) = 13,416
Square (n²)
179,989,056
Cube (n³)
2,414,733,175,296
Divisor count
32
σ(n) — sum of divisors
36,960
φ(n) — Euler's totient
4,032
Sum of prime factors
65

Primality

Prime factorization: 2 3 × 3 × 13 × 43

Nearest primes: 13,411 (−5) · 13,417 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 43 · 52 · 78 · 86 · 104 · 129 · 156 · 172 · 258 · 312 · 344 · 516 · 559 · 1032 · 1118 · 1677 · 2236 · 3354 · 4472 · 6708 (half) · 13416
Aliquot sum (sum of proper divisors): 23,544
Factor pairs (a × b = 13,416)
1 × 13416
2 × 6708
3 × 4472
4 × 3354
6 × 2236
8 × 1677
12 × 1118
13 × 1032
24 × 559
26 × 516
39 × 344
43 × 312
52 × 258
78 × 172
86 × 156
104 × 129
First multiples
13,416 · 26,832 (double) · 40,248 · 53,664 · 67,080 · 80,496 · 93,912 · 107,328 · 120,744 · 134,160

Sums & aliquot sequence

As consecutive integers: 4,471 + 4,472 + 4,473 1,026 + 1,027 + … + 1,038 831 + 832 + … + 846 325 + 326 + … + 363
Aliquot sequence: 13,416 23,544 42,456 69,144 110,376 244,824 373,356 594,884 446,170 356,954 219,706 118,874 88,720 117,740 174,916 174,972 291,844 — unresolved within range

Representations

In words
thirteen thousand four hundred sixteen
Ordinal
13416th
Binary
11010001101000
Octal
32150
Hexadecimal
0x3468
Base64
NGg=
One's complement
52,119 (16-bit)
In other bases
ternary (3) 200101220
quaternary (4) 3101220
quinary (5) 412131
senary (6) 142040
septenary (7) 54054
nonary (9) 20356
undecimal (11) a097
duodecimal (12) 7920
tridecimal (13) 6150
tetradecimal (14) 4c64
pentadecimal (15) 3e96

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυιϛʹ
Mayan (base 20)
𝋡·𝋭·𝋪·𝋰
Chinese
一萬三千四百一十六
Chinese (financial)
壹萬參仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٤١٦ Devanagari १३४१६ Bengali ১৩৪১৬ Tamil ௧௩௪௧௬ Thai ๑๓๔๑๖ Tibetan ༡༣༤༡༦ Khmer ១៣៤១៦ Lao ໑໓໔໑໖ Burmese ၁၃၄၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,416 = 5
e — Euler's number (e)
Digit 13,416 = 5
φ — Golden ratio (φ)
Digit 13,416 = 3
√2 — Pythagoras's (√2)
Digit 13,416 = 5
ln 2 — Natural log of 2
Digit 13,416 = 4
γ — Euler-Mascheroni (γ)
Digit 13,416 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13416, here are decompositions:

  • 5 + 13411 = 13416
  • 17 + 13399 = 13416
  • 19 + 13397 = 13416
  • 79 + 13337 = 13416
  • 89 + 13327 = 13416
  • 103 + 13313 = 13416
  • 107 + 13309 = 13416
  • 149 + 13267 = 13416

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3468
U+3468
Other letter (Lo)

UTF-8 encoding: E3 91 A8 (3 bytes).

Hex color
#003468
RGB(0, 52, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.104.

Address
0.0.52.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.104

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

Position in π

The digit sequence 13416 first appears in π at position 300,955 of the decimal expansion (the 300,955ordinal-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.