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Number

4,157

4,157 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
140
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
7,514
Recamán's sequence
a(28,762) = 4,157
Square (n²)
17,280,649
Cube (n³)
71,835,657,893
Divisor count
2
σ(n) — sum of divisors
4,158
φ(n) — Euler's totient
4,156

Primality

4,157 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4157
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,157)
1 × 4157
First multiples
4,157 · 8,314 (double) · 12,471 · 16,628 · 20,785 · 24,942 · 29,099 · 33,256 · 37,413 · 41,570

Sums & aliquot sequence

As a sum of two squares: 26² + 59²
As consecutive integers: 2,078 + 2,079

Representations

In words
four thousand one hundred fifty-seven
Ordinal
4157th
Binary
1000000111101
Octal
10075
Hexadecimal
0x103D
Base64
ED0=
One's complement
61,378 (16-bit)
In other bases
ternary (3) 12200222
quaternary (4) 1000331
quinary (5) 113112
senary (6) 31125
septenary (7) 15056
nonary (9) 5628
undecimal (11) 313a
duodecimal (12) 24a5
tridecimal (13) 1b7a
tetradecimal (14) 172d
pentadecimal (15) 1372

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρνζʹ
Mayan (base 20)
𝋪·𝋧·𝋱
Chinese
四千一百五十七
Chinese (financial)
肆仟壹佰伍拾柒
In other modern scripts
Eastern Arabic ٤١٥٧ Devanagari ४१५७ Bengali ৪১৫৭ Tamil ௪௧௫௭ Thai ๔๑๕๗ Tibetan ༤༡༥༧ Khmer ៤១៥៧ Lao ໔໑໕໗ Burmese ၄၁၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,157 = 9
e — Euler's number (e)
Digit 4,157 = 1
φ — Golden ratio (φ)
Digit 4,157 = 9
√2 — Pythagoras's (√2)
Digit 4,157 = 7
ln 2 — Natural log of 2
Digit 4,157 = 0
γ — Euler-Mascheroni (γ)
Digit 4,157 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,153 (gap of 4)
  • Next prime: 4,159 (gap of 2)

Pair status: twin with 4159, cousin with 4153.

Unicode codepoint
Myanmar Consonant Sign Medial Wa
U+103D
Non-spacing mark (Mn)

UTF-8 encoding: E1 80 BD (3 bytes).

Hex color
#00103D
RGB(0, 16, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.61.

Address
0.0.16.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.61

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

Position in π

The digit sequence 4157 first appears in π at position 7,344 of the decimal expansion (the 7,344ordinal-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.