Number

15,601

15,601 is a prime, odd.

15,601 (fifteen thousand six hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3CF1.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

15,589 15,590 15,591 15,592 15,593 15,594 15,595 15,596 15,597 15,598 15,599 15,600 15,601 15,602 15,603 15,604 15,605 15,606 15,607 15,608 15,609 15,610 15,611 15,612 15,613

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 10,651
Recamán's sequence: a(18,930) = 15,601
Square (n²): 243,391,201
Cube (n³): 3,797,146,126,801
Divisor count: 2
σ(n) — sum of divisors: 15,602
φ(n) — Euler's totient: 15,600

Primality

15,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 15601

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 15,601)

1 × 15601

First multiples

15,601 · 31,202 (double) · 46,803 · 62,404 · 78,005 · 93,606 · 109,207 · 124,808 · 140,409 · 156,010

Sums & aliquot sequence

As a sum of two squares: 15² + 124²

As consecutive integers: 7,800 + 7,801

Continued fraction of √n

√15,601 = [124; (1, 9, 2, 2, 2, 1, 3, 7, 3, 3, 82, 1, 30, 4, 4, 1, 21, 1, 9, 27, 1, 1, 1, 9, …)]

Representations

In words: fifteen thousand six hundred one
Ordinal: 15601st
Binary: 11110011110001
Octal: 36361
Hexadecimal: 0x3CF1
Base64: PPE=
One's complement: 49,934 (16-bit)
Scientific notation: 1.5601 × 10⁴
As a duration: 15,601 s = 4 hours, 20 minutes, 1 second

In other bases

ternary (3) 210101211

quaternary (4) 3303301

quinary (5) 444401

senary (6) 200121

septenary (7) 63325

nonary (9) 23354

undecimal (11) 107a3

duodecimal (12) 9041

tridecimal (13) 7141

tetradecimal (14) 5985

pentadecimal (15) 4951

As an angle

15,601° = 43 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵ιεχαʹ
Mayan (base 20): 𝋡·𝋳·𝋠·𝋡
Chinese: 一萬五千六百零一
Chinese (financial): 壹萬伍仟陸佰零壹

In other modern scripts

Eastern Arabic ١٥٦٠١ Devanagari १५६०१ Bengali ১৫৬০১ Tamil ௧௫௬௦௧ Thai ๑๕๖๐๑ Tibetan ༡༥༦༠༡ Khmer ១៥៦០១ Lao ໑໕໖໐໑ Burmese ၁၅၆၀၁

Digit at this position in famous constants

π — Pi (π): Digit 15,601 = 3
e — Euler's number (e): Digit 15,601 = 2
φ — Golden ratio (φ): Digit 15,601 = 6
√2 — Pythagoras's (√2): Digit 15,601 = 2
ln 2 — Natural log of 2: Digit 15,601 = 6
γ — Euler-Mascheroni (γ): Digit 15,601 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 15,583 (gap of 18)
Next prime: 15,607 (gap of 6)

Pair status: sexy with 15607.

Unicode codepoint

㳱

CJK Unified Ideograph-3Cf1

U+3CF1

Other letter (Lo)

UTF-8 encoding: E3 B3 B1 (3 bytes).

Lookup U+3CF1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003CF1

RGB(0, 60, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.60.241.

Address: 0.0.60.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.60.241

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

Musical pitch

Heard as a frequency, 15,601 Hz is closest to:

Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, -21¢)

Position in π

The digit sequence 15601 first appears in π at position 160,176 of the decimal expansion (the 160,176ordinal-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 15601 on Pi Search ↗