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61,504

61,504 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

61,504 (sixty-one thousand five hundred four) is an even 5-digit number. It is a composite number with 21 divisors, and factors as 2⁶ × 31². Its proper divisors sum to 64,607, more than the number itself, making it an abundant number. It is a perfect square (248²). Written other ways, in hexadecimal, 0xF040.

Abundant Number Gapful Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
40,516
Recamán's sequence
a(45,048) = 61,504
Square (n²)
3,782,742,016
Cube (n³)
232,653,764,952,064
Square root (√n)
248
Divisor count
21
σ(n) — sum of divisors
126,111
φ(n) — Euler's totient
29,760
Sum of prime factors
74

Primality

Prime factorization: 2 6 × 31 2

Nearest primes: 61,493 (−11) · 61,507 (+3)

Divisors & multiples

All divisors (21)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 64 · 124 · 248 · 496 · 961 · 992 · 1922 · 1984 · 3844 · 7688 · 15376 · 30752 (half) · 61504
Aliquot sum (sum of proper divisors): 64,607
Factor pairs (a × b = 61,504)
1 × 61504
2 × 30752
4 × 15376
8 × 7688
16 × 3844
31 × 1984
32 × 1922
62 × 992
64 × 961
124 × 496
248 × 248
First multiples
61,504 · 123,008 (double) · 184,512 · 246,016 · 307,520 · 369,024 · 430,528 · 492,032 · 553,536 · 615,040

Sums & aliquot sequence

As a sum of two squares: 0² + 248²
As consecutive integers: 1,969 + 1,970 + … + 1,999 417 + 418 + … + 544
Aliquot sequence: 61,504 64,607 4,105 827 1 0 — terminates at zero

Representations

In words
sixty-one thousand five hundred four
Ordinal
61504th
Binary
1111000001000000
Octal
170100
Hexadecimal
0xF040
Base64
8EA=
One's complement
4,031 (16-bit)
Scientific notation
6.1504 × 10⁴
As a duration
61,504 s = 17 hours, 5 minutes, 4 seconds
In other bases
ternary (3) 10010100221
quaternary (4) 33001000
quinary (5) 3432004
senary (6) 1152424
septenary (7) 344212
nonary (9) 103327
undecimal (11) 42233
duodecimal (12) 2b714
tridecimal (13) 21cc1
tetradecimal (14) 185b2
pentadecimal (15) 13354

As an angle

61,504° = 170 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξαφδʹ
Mayan (base 20)
𝋧·𝋭·𝋯·𝋤
Chinese
六萬一千五百零四
Chinese (financial)
陸萬壹仟伍佰零肆
In other modern scripts
Eastern Arabic ٦١٥٠٤ Devanagari ६१५०४ Bengali ৬১৫০৪ Tamil ௬௧௫௦௪ Thai ๖๑๕๐๔ Tibetan ༦༡༥༠༤ Khmer ៦១៥០៤ Lao ໖໑໕໐໔ Burmese ၆၁၅၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 61,504 = 0
e — Euler's number (e)
Digit 61,504 = 6
φ — Golden ratio (φ)
Digit 61,504 = 6
√2 — Pythagoras's (√2)
Digit 61,504 = 6
ln 2 — Natural log of 2
Digit 61,504 = 3
γ — Euler-Mascheroni (γ)
Digit 61,504 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61504, here are decompositions:

  • 11 + 61493 = 61504
  • 17 + 61487 = 61504
  • 41 + 61463 = 61504
  • 101 + 61403 = 61504
  • 173 + 61331 = 61504
  • 251 + 61253 = 61504
  • 281 + 61223 = 61504
  • 293 + 61211 = 61504

Showing the first eight; more decompositions exist.

Hex color
#00F040
RGB(0, 240, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.240.64.

Address
0.0.240.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.240.64

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

Position in π

The digit sequence 61504 first appears in π at position 46,397 of the decimal expansion (the 46,397ordinal-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