Live analysis

10,464

10,464 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.).

10,464 (ten thousand four hundred sixty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 109. Its proper divisors sum to 17,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28E0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

10,452 10,453 10,454 10,455 10,456 10,457 10,458 10,459 10,460 10,461 10,462 10,463 10,464 10,465 10,466 10,467 10,468 10,469 10,470 10,471 10,472 10,473 10,474 10,475 10,476

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 46,401
Recamán's sequence: a(50,591) = 10,464
Square (n²): 109,495,296
Cube (n³): 1,145,758,777,344
Divisor count: 24
σ(n) — sum of divisors: 27,720
φ(n) — Euler's totient: 3,456
Sum of prime factors: 122

Primality

Prime factorization: 2 ⁵ × 3 × 109

Nearest primes: 10,463 (−1) · 10,477 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 109 · 218 · 327 · 436 · 654 · 872 · 1308 · 1744 · 2616 · 3488 · 5232 (half) · 10464

Aliquot sum (sum of proper divisors): 17,256

Factor pairs (a × b = 10,464)

1 × 10464

2 × 5232

3 × 3488

4 × 2616

6 × 1744

8 × 1308

12 × 872

16 × 654

24 × 436

32 × 327

48 × 218

96 × 109

First multiples

10,464 · 20,928 (double) · 31,392 · 41,856 · 52,320 · 62,784 · 73,248 · 83,712 · 94,176 · 104,640

Sums & aliquot sequence

As consecutive integers: 3,487 + 3,488 + 3,489 132 + 133 + … + 195 42 + 43 + … + 150

Aliquot sequence: 10,464 → 17,256 → 25,944 → 43,176 → 80,664 → 121,056 → 224,688 → 378,448 → 494,512 → 495,504 → 1,012,336 → 1,181,968 → 1,182,960 → 2,995,344 → 6,599,280 → 14,542,224 → 25,693,296 — unresolved within range

Continued fraction of √n

√10,464 = [102; (3, 2, 2, 7, 1, 3, 2, 1, 1, 1, 1, 1, 13, 51, 13, 1, 1, 1, 1, 1, 2, 3, 1, 7, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: ten thousand four hundred sixty-four
Ordinal: 10464th
Binary: 10100011100000
Octal: 24340
Hexadecimal: 0x28E0
Base64: KOA=
One's complement: 55,071 (16-bit)
Scientific notation: 1.0464 × 10⁴
As a duration: 10,464 s = 2 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 112100120

quaternary (4) 2203200

quinary (5) 313324

senary (6) 120240

septenary (7) 42336

nonary (9) 15316

undecimal (11) 7953

duodecimal (12) 6080

tridecimal (13) 49bc

tetradecimal (14) 3b56

pentadecimal (15) 3179

As an angle

10,464° = 29 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιυξδʹ
Mayan (base 20): 𝋡·𝋦·𝋣·𝋤
Chinese: 一萬零四百六十四
Chinese (financial): 壹萬零肆佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٤٦٤ Devanagari १०४६४ Bengali ১০৪৬৪ Tamil ௧௦௪௬௪ Thai ๑๐๔๖๔ Tibetan ༡༠༤༦༤ Khmer ១០៤៦៤ Lao ໑໐໔໖໔ Burmese ၁၀၄၆၄

Digit at this position in famous constants

π — Pi (π): Digit 10,464 = 2
e — Euler's number (e): Digit 10,464 = 7
φ — Golden ratio (φ): Digit 10,464 = 7
√2 — Pythagoras's (√2): Digit 10,464 = 6
ln 2 — Natural log of 2: Digit 10,464 = 4
γ — Euler-Mascheroni (γ): Digit 10,464 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10464, here are decompositions:

5 + 10459 = 10464
7 + 10457 = 10464
11 + 10453 = 10464
31 + 10433 = 10464
37 + 10427 = 10464
73 + 10391 = 10464
107 + 10357 = 10464
127 + 10337 = 10464

Showing the first eight; more decompositions exist.

Unicode codepoint

⣠

Braille Pattern Dots-678

U+28E0

Other symbol (So)

UTF-8 encoding: E2 A3 A0 (3 bytes).

Lookup U+28E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0028E0

RGB(0, 40, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.224.

Address: 0.0.40.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.224

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

Musical pitch

Heard as a frequency, 10,464 Hz is closest to:

Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -13¢)

Position in π

The digit sequence 10464 first appears in π at position 54,412 of the decimal expansion (the 54,412ordinal-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.

Look up 10464 on Pi Search ↗