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Number

61,409

61,409 is a prime, odd.

61,409 (sixty-one thousand four hundred nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEFE1.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
90,416
Recamán's sequence
a(44,406) = 61,409
Square (n²)
3,771,065,281
Cube (n³)
231,577,347,840,929
Divisor count
2
σ(n) — sum of divisors
61,410
φ(n) — Euler's totient
61,408

Primality

61,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 61409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 61,409)
1 × 61409
First multiples
61,409 · 122,818 (double) · 184,227 · 245,636 · 307,045 · 368,454 · 429,863 · 491,272 · 552,681 · 614,090

Sums & aliquot sequence

As a sum of two squares: 20² + 247²
As consecutive integers: 30,704 + 30,705

Continued fraction of √n

√61,409 = [247; (1, 4, 4, 1, 1, 3, 3, 7, 3, 8, 12, 3, 1, 2, 2, 1, 11, 2, 1, 1, 2, 5, 1, 4, …)]

Representations

In words
sixty-one thousand four hundred nine
Ordinal
61409th
Binary
1110111111100001
Octal
167741
Hexadecimal
0xEFE1
Base64
7+E=
One's complement
4,126 (16-bit)
Scientific notation
6.1409 × 10⁴
As a duration
61,409 s = 17 hours, 3 minutes, 29 seconds
In other bases
ternary (3) 10010020102
quaternary (4) 32333201
quinary (5) 3431114
senary (6) 1152145
septenary (7) 344015
nonary (9) 103212
undecimal (11) 42157
duodecimal (12) 2b655
tridecimal (13) 21c4a
tetradecimal (14) 18545
pentadecimal (15) 132de

As an angle

61,409° = 170 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξαυθʹ
Mayan (base 20)
𝋧·𝋭·𝋪·𝋩
Chinese
六萬一千四百零九
Chinese (financial)
陸萬壹仟肆佰零玖
In other modern scripts
Eastern Arabic ٦١٤٠٩ Devanagari ६१४०९ Bengali ৬১৪০৯ Tamil ௬௧௪௦௯ Thai ๖๑๔๐๙ Tibetan ༦༡༤༠༩ Khmer ៦១៤០៩ Lao ໖໑໔໐໙ Burmese ၆၁၄၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 61,409 = 9
e — Euler's number (e)
Digit 61,409 = 8
φ — Golden ratio (φ)
Digit 61,409 = 4
√2 — Pythagoras's (√2)
Digit 61,409 = 8
ln 2 — Natural log of 2
Digit 61,409 = 9
γ — Euler-Mascheroni (γ)
Digit 61,409 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 61,403 (gap of 6)
  • Next prime: 61,417 (gap of 8)

Pair status: sexy with 61403.

Hex color
#00EFE1
RGB(0, 239, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.239.225.

Address
0.0.239.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.239.225

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

Position in π

The digit sequence 61409 first appears in π at position 79,794 of the decimal expansion (the 79,794ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.