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Number

15,121

15,121 is a prime, odd.

15,121 (fifteen thousand one hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3B11.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
10
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
12,151
Recamán's sequence
a(5,074) = 15,121
Square (n²)
228,644,641
Cube (n³)
3,457,335,616,561
Divisor count
2
σ(n) — sum of divisors
15,122
φ(n) — Euler's totient
15,120

Primality

15,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,121)
1 × 15121
First multiples
15,121 · 30,242 (double) · 45,363 · 60,484 · 75,605 · 90,726 · 105,847 · 120,968 · 136,089 · 151,210

Sums & aliquot sequence

As a sum of two squares: 64² + 105²
As consecutive integers: 7,560 + 7,561

Continued fraction of √n

√15,121 = [122; (1, 29, 1, 2, 1, 14, 1, 1, 1, 1, 1, 7, 16, 3, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand one hundred twenty-one
Ordinal
15121st
Binary
11101100010001
Octal
35421
Hexadecimal
0x3B11
Base64
OxE=
One's complement
50,414 (16-bit)
Scientific notation
1.5121 × 10⁴
As a duration
15,121 s = 4 hours, 12 minutes, 1 second
In other bases
ternary (3) 202202001
quaternary (4) 3230101
quinary (5) 440441
senary (6) 154001
septenary (7) 62041
nonary (9) 22661
undecimal (11) 103a7
duodecimal (12) 8901
tridecimal (13) 6b62
tetradecimal (14) 5721
pentadecimal (15) 4731

As an angle

15,121° = 42 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιερκαʹ
Mayan (base 20)
𝋡·𝋱·𝋰·𝋡
Chinese
一萬五千一百二十一
Chinese (financial)
壹萬伍仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٥١٢١ Devanagari १५१२१ Bengali ১৫১২১ Tamil ௧௫௧௨௧ Thai ๑๕๑๒๑ Tibetan ༡༥༡༢༡ Khmer ១៥១២១ Lao ໑໕໑໒໑ Burmese ၁၅၁၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 15,121 = 7
e — Euler's number (e)
Digit 15,121 = 0
φ — Golden ratio (φ)
Digit 15,121 = 0
√2 — Pythagoras's (√2)
Digit 15,121 = 7
ln 2 — Natural log of 2
Digit 15,121 = 3
γ — Euler-Mascheroni (γ)
Digit 15,121 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,107 (gap of 14)
  • Next prime: 15,131 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-3B11
U+3B11
Other letter (Lo)

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

Hex color
#003B11
RGB(0, 59, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.17.

Address
0.0.59.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.17

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

Musical pitch

Heard as a frequency, 15,121 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -39¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +25¢)
Position in π

The digit sequence 15121 first appears in π at position 50,307 of the decimal expansion (the 50,307ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.