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464,704

464,704 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.).

464,704 (four hundred sixty-four thousand seven hundred four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 53 × 137. Its proper divisors sum to 481,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71740.

Abundant Number Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
407,464
Recamán's sequence
a(132,480) = 464,704
Square (n²)
215,949,807,616
Cube (n³)
100,352,739,398,385,664
Divisor count
28
σ(n) — sum of divisors
946,404
φ(n) — Euler's totient
226,304
Sum of prime factors
202

Primality

Prime factorization: 2 6 × 53 × 137

Nearest primes: 464,699 (−5) · 464,741 (+37)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 32 · 53 · 64 · 106 · 137 · 212 · 274 · 424 · 548 · 848 · 1096 · 1696 · 2192 · 3392 · 4384 · 7261 · 8768 · 14522 · 29044 · 58088 · 116176 · 232352 (half) · 464704
Aliquot sum (sum of proper divisors): 481,700
Factor pairs (a × b = 464,704)
1 × 464704
2 × 232352
4 × 116176
8 × 58088
16 × 29044
32 × 14522
53 × 8768
64 × 7261
106 × 4384
137 × 3392
212 × 2192
274 × 1696
424 × 1096
548 × 848
First multiples
464,704 · 929,408 (double) · 1,394,112 · 1,858,816 · 2,323,520 · 2,788,224 · 3,252,928 · 3,717,632 · 4,182,336 · 4,647,040

Sums & aliquot sequence

As a sum of two squares: 48² + 680² = 400² + 552²
As consecutive integers: 8,742 + 8,743 + … + 8,794 3,567 + 3,568 + … + 3,694 3,324 + 3,325 + … + 3,460
Aliquot sequence: 464,704 → 481,700 → 563,806 → 352,754 → 204,286 → 115,538 → 62,122 → 32,378 → 16,192 → 20,384 → 29,890 → 33,722 → 20,794 → 11,354 → 8,134 → 6,230 → 6,730 — unresolved within range

Continued fraction of √n

√464,704 = [681; (1, 2, 4, 19, 1, 4, 1, 1, 9, 1, 1, 4, 5, 5, 3, 1, 1, 10, 1, 2, 3, 151, 5, 3, …)]

Representations

In words
four hundred sixty-four thousand seven hundred four
Ordinal
464704th
Binary
1110001011101000000
Octal
1613500
Hexadecimal
0x71740
Base64
BxdA
One's complement
4,294,502,591 (32-bit)
Scientific notation
4.64704 × 10⁵
As a duration
464,704 s = 5 days, 9 hours, 5 minutes, 4 seconds
In other bases
ternary (3) 212121110021
quaternary (4) 1301131000
quinary (5) 104332304
senary (6) 13543224
septenary (7) 3643552
nonary (9) 777407
undecimal (11) 298159
duodecimal (12) 1a4b14
tridecimal (13) 133696
tetradecimal (14) c14d2
pentadecimal (15) 92a54

As an angle

464,704° = 1,290 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδψδʹ
Chinese
四十六萬四千七百零四
Chinese (financial)
肆拾陸萬肆仟柒佰零肆
In other modern scripts
Eastern Arabic ٤٦٤٧٠٤ Devanagari ४६४७०४ Bengali ৪৬৪৭০৪ Tamil ௪௬௪௭௦௪ Thai ๔๖๔๗๐๔ Tibetan ༤༦༤༧༠༤ Khmer ៤៦៤៧០៤ Lao ໔໖໔໗໐໔ Burmese ၄၆၄၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464704, here are decompositions:

  • 5 + 464699 = 464704
  • 17 + 464687 = 464704
  • 41 + 464663 = 464704
  • 83 + 464621 = 464704
  • 101 + 464603 = 464704
  • 113 + 464591 = 464704
  • 167 + 464537 = 464704
  • 257 + 464447 = 464704

Showing the first eight; more decompositions exist.

Hex color
#071740
RGB(7, 23, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.64.

Address
0.7.23.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.23.64

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 464,704 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 464704 first appears in π at position 119,755 of the decimal expansion (the 119,755ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.