Number

13,597

13,597 is a prime, odd.

13,597 (thirteen thousand five 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, 0x351D.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,585 13,586 13,587 13,588 13,589 13,590 13,591 13,592 13,593 13,594 13,595 13,596 13,597 13,598 13,599 13,600 13,601 13,602 13,603 13,604 13,605 13,606 13,607 13,608 13,609

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 25
Digit product: 945
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 79,531
Recamán's sequence: a(3,966) = 13,597
Square (n²): 184,878,409
Cube (n³): 2,513,791,727,173
Divisor count: 2
σ(n) — sum of divisors: 13,598
φ(n) — Euler's totient: 13,596

Primality

13,597 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13597

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,597)

1 × 13597

First multiples

13,597 · 27,194 (double) · 40,791 · 54,388 · 67,985 · 81,582 · 95,179 · 108,776 · 122,373 · 135,970

Sums & aliquot sequence

As a sum of two squares: 69² + 94²

As consecutive integers: 6,798 + 6,799

Continued fraction of √n

√13,597 = [116; (1, 1, 1, 1, 5, 1, 7, 5, 5, 1, 3, 1, 1, 1, 4, 1, 3, 1, 1, 2, 1, 2, 1, 1, …)]

Representations

In words: thirteen thousand five hundred ninety-seven
Ordinal: 13597th
Binary: 11010100011101
Octal: 32435
Hexadecimal: 0x351D
Base64: NR0=
One's complement: 51,938 (16-bit)
Scientific notation: 1.3597 × 10⁴
As a duration: 13,597 s = 3 hours, 46 minutes, 37 seconds

In other bases

ternary (3) 200122121

quaternary (4) 3110131

quinary (5) 413342

senary (6) 142541

septenary (7) 54433

nonary (9) 20577

undecimal (11) a241

duodecimal (12) 7a51

tridecimal (13) 625c

tetradecimal (14) 4d53

pentadecimal (15) 4067

As an angle

13,597° = 37 × 360° + 277°

277° ≈ 4.835 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγφϟζʹ
Mayan (base 20): 𝋡·𝋭·𝋳·𝋱
Chinese: 一萬三千五百九十七
Chinese (financial): 壹萬參仟伍佰玖拾柒

In other modern scripts

Eastern Arabic ١٣٥٩٧ Devanagari १३५९७ Bengali ১৩৫৯৭ Tamil ௧௩௫௯௭ Thai ๑๓๕๙๗ Tibetan ༡༣༥༩༧ Khmer ១៣៥៩៧ Lao ໑໓໕໙໗ Burmese ၁၃၅၉၇

Digit at this position in famous constants

π — Pi (π): Digit 13,597 = 6
e — Euler's number (e): Digit 13,597 = 2
φ — Golden ratio (φ): Digit 13,597 = 7
√2 — Pythagoras's (√2): Digit 13,597 = 8
ln 2 — Natural log of 2: Digit 13,597 = 9
γ — Euler-Mascheroni (γ): Digit 13,597 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,591 (gap of 6)
Next prime: 13,613 (gap of 16)

Pair status: sexy with 13591.

Unicode codepoint

㔝

CJK Unified Ideograph-351D

U+351D

Other letter (Lo)

UTF-8 encoding: E3 94 9D (3 bytes).

Lookup U+351D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00351D

RGB(0, 53, 29)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.29.

Address: 0.0.53.29
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.29

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

Musical pitch

Heard as a frequency, 13,597 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +40¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -23¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +41¢)

Position in π

The digit sequence 13597 first appears in π at position 106,904 of the decimal expansion (the 106,904ordinal-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.

Look up 13597 on Pi Search ↗