Live analysis

17,442

17,442 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.).

17,442 (seventeen thousand four hundred forty-two) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 17 × 19. Its proper divisors sum to 25,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4422.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Pentagonal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

17,430 17,431 17,432 17,433 17,434 17,435 17,436 17,437 17,438 17,439 17,440 17,441 17,442 17,443 17,444 17,445 17,446 17,447 17,448 17,449 17,450 17,451 17,452 17,453 17,454

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 224
Digital root: 9
Palindrome: No
Bit width: 15 bits
Reversed: 24,471
Recamán's sequence: a(16,884) = 17,442
Square (n²): 304,223,364
Cube (n³): 5,306,263,914,888
Divisor count: 32
σ(n) — sum of divisors: 43,200
φ(n) — Euler's totient: 5,184
Sum of prime factors: 47

Primality

Prime factorization: 2 × 3 ³ × 17 × 19

Nearest primes: 17,431 (−11) · 17,443 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 17 · 18 · 19 · 27 · 34 · 38 · 51 · 54 · 57 · 102 · 114 · 153 · 171 · 306 · 323 · 342 · 459 · 513 · 646 · 918 · 969 · 1026 · 1938 · 2907 · 5814 · 8721 (half) · 17442

Aliquot sum (sum of proper divisors): 25,758

Factor pairs (a × b = 17,442)

1 × 17442

2 × 8721

3 × 5814

6 × 2907

9 × 1938

17 × 1026

18 × 969

19 × 918

27 × 646

34 × 513

38 × 459

51 × 342

54 × 323

57 × 306

102 × 171

114 × 153

First multiples

17,442 · 34,884 (double) · 52,326 · 69,768 · 87,210 · 104,652 · 122,094 · 139,536 · 156,978 · 174,420

Sums & aliquot sequence

As consecutive integers: 5,813 + 5,814 + 5,815 4,359 + 4,360 + 4,361 + 4,362 1,934 + 1,935 + … + 1,942 1,448 + 1,449 + … + 1,459

Aliquot sequence: 17,442 → 25,758 → 33,210 → 58,266 → 82,854 → 96,702 → 100,290 → 140,478 → 162,258 → 162,270 → 271,170 → 470,142 → 548,538 → 548,550 → 1,018,314 → 1,471,446 → 1,943,658 — unresolved within range

Continued fraction of √n

√17,442 = [132; (14, 1, 2, 29, 132, 29, 2, 1, 14, 264)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: seventeen thousand four hundred forty-two
Ordinal: 17442nd
Binary: 100010000100010
Octal: 42042
Hexadecimal: 0x4422
Base64: RCI=
One's complement: 48,093 (16-bit)
Scientific notation: 1.7442 × 10⁴
As a duration: 17,442 s = 4 hours, 50 minutes, 42 seconds

In other bases

ternary (3) 212221000

quaternary (4) 10100202

quinary (5) 1024232

senary (6) 212430

septenary (7) 101565

nonary (9) 25830

undecimal (11) 12117

duodecimal (12) a116

tridecimal (13) 7c29

tetradecimal (14) 64dc

pentadecimal (15) 527c

As an angle

17,442° = 48 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιζυμβʹ
Mayan (base 20): 𝋢·𝋣·𝋬·𝋢
Chinese: 一萬七千四百四十二
Chinese (financial): 壹萬柒仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٧٤٤٢ Devanagari १७४४२ Bengali ১৭৪৪২ Tamil ௧௭௪௪௨ Thai ๑๗๔๔๒ Tibetan ༡༧༤༤༢ Khmer ១៧៤៤២ Lao ໑໗໔໔໒ Burmese ၁၇၄၄၂

Digit at this position in famous constants

π — Pi (π): Digit 17,442 = 7
e — Euler's number (e): Digit 17,442 = 5
φ — Golden ratio (φ): Digit 17,442 = 0
√2 — Pythagoras's (√2): Digit 17,442 = 1
ln 2 — Natural log of 2: Digit 17,442 = 7
γ — Euler-Mascheroni (γ): Digit 17,442 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17442, here are decompositions:

11 + 17431 = 17442
23 + 17419 = 17442
41 + 17401 = 17442
53 + 17389 = 17442
59 + 17383 = 17442
83 + 17359 = 17442
101 + 17341 = 17442
109 + 17333 = 17442

Showing the first eight; more decompositions exist.

Unicode codepoint

䐢

CJK Unified Ideograph-4422

U+4422

Other letter (Lo)

UTF-8 encoding: E4 90 A2 (3 bytes).

Lookup U+4422 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004422

RGB(0, 68, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.68.34.

Address: 0.0.68.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.68.34

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

Musical pitch

Heard as a frequency, 17,442 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, -28¢)

Position in π

The digit sequence 17442 first appears in π at position 79,001 of the decimal expansion (the 79,001ordinal-suffix:st 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 17442 on Pi Search ↗