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Number

13,217

13,217 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
71,231
Recamán's sequence
a(47,841) = 13,217
Square (n²)
174,689,089
Cube (n³)
2,308,865,689,313
Divisor count
2
σ(n) — sum of divisors
13,218
φ(n) — Euler's totient
13,216

Primality

13,217 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13217
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,217)
1 × 13217
First multiples
13,217 · 26,434 (double) · 39,651 · 52,868 · 66,085 · 79,302 · 92,519 · 105,736 · 118,953 · 132,170

Sums & aliquot sequence

As a sum of two squares: 49² + 104²
As consecutive integers: 6,608 + 6,609

Representations

In words
thirteen thousand two hundred seventeen
Ordinal
13217th
Binary
11001110100001
Octal
31641
Hexadecimal
0x33A1
Base64
M6E=
One's complement
52,318 (16-bit)
In other bases
ternary (3) 200010112
quaternary (4) 3032201
quinary (5) 410332
senary (6) 141105
septenary (7) 53351
nonary (9) 20115
undecimal (11) 9a26
duodecimal (12) 7795
tridecimal (13) 6029
tetradecimal (14) 4b61
pentadecimal (15) 3db2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσιζʹ
Mayan (base 20)
𝋡·𝋭·𝋠·𝋱
Chinese
一萬三千二百一十七
Chinese (financial)
壹萬參仟貳佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٢١٧ Devanagari १३२१७ Bengali ১৩২১৭ Tamil ௧௩௨௧௭ Thai ๑๓๒๑๗ Tibetan ༡༣༢༡༧ Khmer ១៣២១៧ Lao ໑໓໒໑໗ Burmese ၁၃၂၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,217 = 6
e — Euler's number (e)
Digit 13,217 = 2
φ — Golden ratio (φ)
Digit 13,217 = 9
√2 — Pythagoras's (√2)
Digit 13,217 = 0
ln 2 — Natural log of 2
Digit 13,217 = 7
γ — Euler-Mascheroni (γ)
Digit 13,217 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,187 (gap of 30)
  • Next prime: 13,219 (gap of 2)

Pair status: twin with 13219.

Unicode codepoint
Square M Squared
U+33A1
Other symbol (So)

UTF-8 encoding: E3 8E A1 (3 bytes).

Hex color
#0033A1
RGB(0, 51, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.161.

Address
0.0.51.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.161

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
000013217
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 13217 first appears in π at position 16,563 of the decimal expansion (the 16,563ordinal-suffix:rd 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.