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Number

4,051

4,051 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
1,504
Recamán's sequence
a(14,289) = 4,051
Square (n²)
16,410,601
Cube (n³)
66,479,344,651
Divisor count
2
σ(n) — sum of divisors
4,052
φ(n) — Euler's totient
4,050

Primality

4,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4051
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,051)
1 × 4051
First multiples
4,051 · 8,102 (double) · 12,153 · 16,204 · 20,255 · 24,306 · 28,357 · 32,408 · 36,459 · 40,510

Sums & aliquot sequence

As consecutive integers: 2,025 + 2,026

Representations

In words
four thousand fifty-one
Ordinal
4051st
Binary
111111010011
Octal
7723
Hexadecimal
0xFD3
Base64
D9M=
One's complement
61,484 (16-bit)
In other bases
ternary (3) 12120001
quaternary (4) 333103
quinary (5) 112201
senary (6) 30431
septenary (7) 14545
nonary (9) 5501
undecimal (11) 3053
duodecimal (12) 2417
tridecimal (13) 1ac8
tetradecimal (14) 1695
pentadecimal (15) 1301

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵δναʹ
Mayan (base 20)
𝋪·𝋢·𝋫
Chinese
四千零五十一
Chinese (financial)
肆仟零伍拾壹
In other modern scripts
Eastern Arabic ٤٠٥١ Devanagari ४०५१ Bengali ৪০৫১ Tamil ௪௦௫௧ Thai ๔๐๕๑ Tibetan ༤༠༥༡ Khmer ៤០៥១ Lao ໔໐໕໑ Burmese ၄၀၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 4,051 = 6
e — Euler's number (e)
Digit 4,051 = 1
φ — Golden ratio (φ)
Digit 4,051 = 3
√2 — Pythagoras's (√2)
Digit 4,051 = 2
ln 2 — Natural log of 2
Digit 4,051 = 6
γ — Euler-Mascheroni (γ)
Digit 4,051 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,049 (gap of 2)
  • Next prime: 4,057 (gap of 6)

Pair status: twin with 4049, sexy with 4057.

Unicode codepoint
Tibetan Mark Initial Brda Rnying Yig Mgo Mdun Ma
U+0FD3
Other punctuation (Po)

UTF-8 encoding: E0 BF 93 (3 bytes).

Hex color
#000FD3
RGB(0, 15, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.211.

Address
0.0.15.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.211

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000004051
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 4051 first appears in π at position 595 of the decimal expansion (the 595ordinal-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.