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Number

15,797

15,797 is a prime, odd.

15,797 (fifteen thousand seven hundred ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3DB5.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
29
Digit product
2,205
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
79,751
Recamán's sequence
a(18,538) = 15,797
Square (n²)
249,545,209
Cube (n³)
3,942,065,666,573
Divisor count
2
σ(n) — sum of divisors
15,798
φ(n) — Euler's totient
15,796

Primality

15,797 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15797
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,797)
1 × 15797
First multiples
15,797 · 31,594 (double) · 47,391 · 63,188 · 78,985 · 94,782 · 110,579 · 126,376 · 142,173 · 157,970

Sums & aliquot sequence

As a sum of two squares: 34² + 121²
As consecutive integers: 7,898 + 7,899

Continued fraction of √n

√15,797 = [125; (1, 2, 5, 2, 1, 1, 1, 3, 14, 1, 1, 22, 2, 1, 62, 5, 1, 4, 1, 7, 3, 1, 1, 3, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand seven hundred ninety-seven
Ordinal
15797th
Binary
11110110110101
Octal
36665
Hexadecimal
0x3DB5
Base64
PbU=
One's complement
49,738 (16-bit)
Scientific notation
1.5797 × 10⁴
As a duration
15,797 s = 4 hours, 23 minutes, 17 seconds
In other bases
ternary (3) 210200002
quaternary (4) 3312311
quinary (5) 1001142
senary (6) 201045
septenary (7) 64025
nonary (9) 23602
undecimal (11) 10961
duodecimal (12) 9185
tridecimal (13) 7262
tetradecimal (14) 5a85
pentadecimal (15) 4a32

As an angle

15,797° = 43 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιεψϟζʹ
Mayan (base 20)
𝋡·𝋳·𝋩·𝋱
Chinese
一萬五千七百九十七
Chinese (financial)
壹萬伍仟柒佰玖拾柒
In other modern scripts
Eastern Arabic ١٥٧٩٧ Devanagari १५७९७ Bengali ১৫৭৯৭ Tamil ௧௫௭௯௭ Thai ๑๕๗๙๗ Tibetan ༡༥༧༩༧ Khmer ១៥៧៩៧ Lao ໑໕໗໙໗ Burmese ၁၅၇၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 15,797 = 3
e — Euler's number (e)
Digit 15,797 = 1
φ — Golden ratio (φ)
Digit 15,797 = 1
√2 — Pythagoras's (√2)
Digit 15,797 = 3
ln 2 — Natural log of 2
Digit 15,797 = 8
γ — Euler-Mascheroni (γ)
Digit 15,797 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,791 (gap of 6)
  • Next prime: 15,803 (gap of 6)

Pair status: sexy with 15791, sexy with 15803.

Unicode codepoint
CJK Unified Ideograph-3Db5
U+3DB5
Other letter (Lo)

UTF-8 encoding: E3 B6 B5 (3 bytes).

Hex color
#003DB5
RGB(0, 61, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.61.181.

Address
0.0.61.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.61.181

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

Musical pitch

Heard as a frequency, 15,797 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, +37¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, exact)
Position in π

The digit sequence 15797 first appears in π at position 18,658 of the decimal expansion (the 18,658ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.