Live analysis

17,004

17,004 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.).

17,004 (seventeen thousand four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 109. Its proper divisors sum to 26,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x426C.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

16,992 16,993 16,994 16,995 16,996 16,997 16,998 16,999 17,000 17,001 17,002 17,003 17,004 17,005 17,006 17,007 17,008 17,009 17,010 17,011 17,012 17,013 17,014 17,015 17,016

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 15 bits
Reversed: 40,071
Recamán's sequence: a(44,403) = 17,004
Square (n²): 289,136,016
Cube (n³): 4,916,468,816,064
Divisor count: 24
σ(n) — sum of divisors: 43,120
φ(n) — Euler's totient: 5,184
Sum of prime factors: 129

Primality

Prime factorization: 2 ² × 3 × 13 × 109

Nearest primes: 16,993 (−11) · 17,011 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 109 · 156 · 218 · 327 · 436 · 654 · 1308 · 1417 · 2834 · 4251 · 5668 · 8502 (half) · 17004

Aliquot sum (sum of proper divisors): 26,116

Factor pairs (a × b = 17,004)

1 × 17004

2 × 8502

3 × 5668

4 × 4251

6 × 2834

12 × 1417

13 × 1308

26 × 654

39 × 436

52 × 327

78 × 218

109 × 156

First multiples

17,004 · 34,008 (double) · 51,012 · 68,016 · 85,020 · 102,024 · 119,028 · 136,032 · 153,036 · 170,040

Sums & aliquot sequence

As consecutive integers: 5,667 + 5,668 + 5,669 2,122 + 2,123 + … + 2,129 1,302 + 1,303 + … + 1,314 697 + 698 + … + 720

Aliquot sequence: 17,004 → 26,116 → 19,594 → 10,394 → 5,200 → 8,254 → 4,130 → 4,510 → 4,562 → 2,284 → 1,720 → 2,240 → 3,856 → 3,646 → 1,826 → 1,198 → 602 — unresolved within range

Continued fraction of √n

√17,004 = [130; (2, 1, 1, 64, 1, 1, 2, 260)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: seventeen thousand four
Ordinal: 17004th
Binary: 100001001101100
Octal: 41154
Hexadecimal: 0x426C
Base64: Qmw=
One's complement: 48,531 (16-bit)
Scientific notation: 1.7004 × 10⁴
As a duration: 17,004 s = 4 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 212022210

quaternary (4) 10021230

quinary (5) 1021004

senary (6) 210420

septenary (7) 100401

nonary (9) 25283

undecimal (11) 11859

duodecimal (12) 9a10

tridecimal (13) 7980

tetradecimal (14) 62a8

pentadecimal (15) 5089

As an angle

17,004° = 47 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιζδʹ
Mayan (base 20): 𝋢·𝋢·𝋪·𝋤
Chinese: 一萬七千零四
Chinese (financial): 壹萬柒仟零肆

In other modern scripts

Eastern Arabic ١٧٠٠٤ Devanagari १७००४ Bengali ১৭০০৪ Tamil ௧௭௦௦௪ Thai ๑๗๐๐๔ Tibetan ༡༧༠༠༤ Khmer ១៧០០៤ Lao ໑໗໐໐໔ Burmese ၁၇၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 17,004 = 6
e — Euler's number (e): Digit 17,004 = 5
φ — Golden ratio (φ): Digit 17,004 = 8
√2 — Pythagoras's (√2): Digit 17,004 = 8
ln 2 — Natural log of 2: Digit 17,004 = 5
γ — Euler-Mascheroni (γ): Digit 17,004 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17004, here are decompositions:

11 + 16993 = 17004
17 + 16987 = 17004
23 + 16981 = 17004
41 + 16963 = 17004
61 + 16943 = 17004
67 + 16937 = 17004
73 + 16931 = 17004
83 + 16921 = 17004

Showing the first eight; more decompositions exist.

Unicode codepoint

䉬

CJK Unified Ideograph-426C

U+426C

Other letter (Lo)

UTF-8 encoding: E4 89 AC (3 bytes).

Lookup U+426C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00426C

RGB(0, 66, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.108.

Address: 0.0.66.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.66.108

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

Musical pitch

Heard as a frequency, 17,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +27¢)
Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +28¢)

Position in π

The digit sequence 17004 first appears in π at position 144,704 of the decimal expansion (the 144,704ordinal-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 17004 on Pi Search ↗