Live analysis

59,004

59,004 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.).

59,004 (fifty-nine thousand four) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 149. Its proper divisors sum to 104,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE67C.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

58,992 58,993 58,994 58,995 58,996 58,997 58,998 58,999 59,000 59,001 59,002 59,003 59,004 59,005 59,006 59,007 59,008 59,009 59,010 59,011 59,012 59,013 59,014 59,015 59,016

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 40,095
Recamán's sequence: a(138,235) = 59,004
Square (n²): 3,481,472,016
Cube (n³): 205,420,774,832,064
Divisor count: 36
σ(n) — sum of divisors: 163,800
φ(n) — Euler's totient: 17,760
Sum of prime factors: 170

Primality

Prime factorization: 2 ² × 3 ² × 11 × 149

Nearest primes: 58,997 (−7) · 59,009 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 149 · 198 · 298 · 396 · 447 · 596 · 894 · 1341 · 1639 · 1788 · 2682 · 3278 · 4917 · 5364 · 6556 · 9834 · 14751 · 19668 · 29502 (half) · 59004

Aliquot sum (sum of proper divisors): 104,796

Factor pairs (a × b = 59,004)

1 × 59004

2 × 29502

3 × 19668

4 × 14751

6 × 9834

9 × 6556

11 × 5364

12 × 4917

18 × 3278

22 × 2682

33 × 1788

36 × 1639

44 × 1341

66 × 894

99 × 596

132 × 447

149 × 396

198 × 298

First multiples

59,004 · 118,008 (double) · 177,012 · 236,016 · 295,020 · 354,024 · 413,028 · 472,032 · 531,036 · 590,040

Sums & aliquot sequence

As consecutive integers: 19,667 + 19,668 + 19,669 7,372 + 7,373 + … + 7,379 6,552 + 6,553 + … + 6,560 5,359 + 5,360 + … + 5,369

Aliquot sequence: 59,004 → 104,796 → 170,388 → 260,406 → 379,818 → 443,160 → 998,280 → 2,371,320 → 6,445,800 → 15,207,390 → 27,929,106 → 32,583,996 → 49,781,196 → 79,281,444 → 123,056,412 → 164,255,844 → 219,007,820 — unresolved within range

Continued fraction of √n

√59,004 = [242; (1, 9, 1, 3, 1, 18, 1, 1, 1, 2, 1, 120, 1, 2, 1, 1, 1, 18, 1, 3, 1, 9, 1, 484)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: fifty-nine thousand four
Ordinal: 59004th
Binary: 1110011001111100
Octal: 163174
Hexadecimal: 0xE67C
Base64: 5nw=
One's complement: 6,531 (16-bit)
Scientific notation: 5.9004 × 10⁴
As a duration: 59,004 s = 16 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 2222221100

quaternary (4) 32121330

quinary (5) 3342004

senary (6) 1133100

septenary (7) 334011

nonary (9) 88840

undecimal (11) 40370

duodecimal (12) 2a190

tridecimal (13) 20b1a

tetradecimal (14) 17708

pentadecimal (15) 12739

As an angle

59,004° = 163 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵νθδʹ
Mayan (base 20): 𝋧·𝋧·𝋪·𝋤
Chinese: 五萬九千零四
Chinese (financial): 伍萬玖仟零肆

In other modern scripts

Eastern Arabic ٥٩٠٠٤ Devanagari ५९००४ Bengali ৫৯০০৪ Tamil ௫௯௦௦௪ Thai ๕๙๐๐๔ Tibetan ༥༩༠༠༤ Khmer ៥៩០០៤ Lao ໕໙໐໐໔ Burmese ၅၉၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 59,004 = 8
e — Euler's number (e): Digit 59,004 = 6
φ — Golden ratio (φ): Digit 59,004 = 1
√2 — Pythagoras's (√2): Digit 59,004 = 2
ln 2 — Natural log of 2: Digit 59,004 = 8
γ — Euler-Mascheroni (γ): Digit 59,004 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 59004, here are decompositions:

7 + 58997 = 59004
13 + 58991 = 59004
37 + 58967 = 59004
41 + 58963 = 59004
61 + 58943 = 59004
67 + 58937 = 59004
83 + 58921 = 59004
97 + 58907 = 59004

Showing the first eight; more decompositions exist.

Hex color

#00E67C

RGB(0, 230, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.230.124.

Address: 0.0.230.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.230.124

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

Position in π

The digit sequence 59004 first appears in π at position 24,888 of the decimal expansion (the 24,888ordinal-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 59004 on Pi Search ↗