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13,602

13,602 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.).

13,602 (thirteen thousand six hundred two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,267. Its proper divisors sum to 13,614, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3522.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
20,631
Recamán's sequence
a(3,976) = 13,602
Square (n²)
185,014,404
Cube (n³)
2,516,565,923,208
Divisor count
8
σ(n) — sum of divisors
27,216
φ(n) — Euler's totient
4,532
Sum of prime factors
2,272

Primality

Prime factorization: 2 × 3 × 2267

Nearest primes: 13,597 (−5) · 13,613 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 2267 · 4534 · 6801 (half) · 13602
Aliquot sum (sum of proper divisors): 13,614
Factor pairs (a × b = 13,602)
1 × 13602
2 × 6801
3 × 4534
6 × 2267
First multiples
13,602 · 27,204 (double) · 40,806 · 54,408 · 68,010 · 81,612 · 95,214 · 108,816 · 122,418 · 136,020

Sums & aliquot sequence

As consecutive integers: 4,533 + 4,534 + 4,535 3,399 + 3,400 + 3,401 + 3,402 1,128 + 1,129 + … + 1,139
Aliquot sequence: 13,602 13,614 13,626 15,936 26,736 42,456 69,144 110,376 244,824 373,356 594,884 446,170 356,954 219,706 118,874 88,720 117,740 — unresolved within range

Continued fraction of √n

√13,602 = [116; (1, 1, 1, 2, 5, 1, 1, 1, 1, 6, 3, 1, 15, 1, 9, 4, 1, 32, 1, 1, 13, 4, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand six hundred two
Ordinal
13602nd
Binary
11010100100010
Octal
32442
Hexadecimal
0x3522
Base64
NSI=
One's complement
51,933 (16-bit)
Scientific notation
1.3602 × 10⁴
As a duration
13,602 s = 3 hours, 46 minutes, 42 seconds
In other bases
ternary (3) 200122210
quaternary (4) 3110202
quinary (5) 413402
senary (6) 142550
septenary (7) 54441
nonary (9) 20583
undecimal (11) a246
duodecimal (12) 7a56
tridecimal (13) 6264
tetradecimal (14) 4d58
pentadecimal (15) 406c

As an angle

13,602° = 37 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ιγχβʹ
Mayan (base 20)
𝋡·𝋮·𝋠·𝋢
Chinese
一萬三千六百零二
Chinese (financial)
壹萬參仟陸佰零貳
In other modern scripts
Eastern Arabic ١٣٦٠٢ Devanagari १३६०२ Bengali ১৩৬০২ Tamil ௧௩௬௦௨ Thai ๑๓๖๐๒ Tibetan ༡༣༦༠༢ Khmer ១៣៦០២ Lao ໑໓໖໐໒ Burmese ၁၃၆၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,602 = 5
e — Euler's number (e)
Digit 13,602 = 9
φ — Golden ratio (φ)
Digit 13,602 = 0
√2 — Pythagoras's (√2)
Digit 13,602 = 2
ln 2 — Natural log of 2
Digit 13,602 = 8
γ — Euler-Mascheroni (γ)
Digit 13,602 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13602, here are decompositions:

  • 5 + 13597 = 13602
  • 11 + 13591 = 13602
  • 79 + 13523 = 13602
  • 89 + 13513 = 13602
  • 103 + 13499 = 13602
  • 139 + 13463 = 13602
  • 151 + 13451 = 13602
  • 181 + 13421 = 13602

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3522
U+3522
Other letter (Lo)

UTF-8 encoding: E3 94 A2 (3 bytes).

Hex color
#003522
RGB(0, 53, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.34.

Address
0.0.53.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.34

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

Musical pitch

Heard as a frequency, 13,602 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +40¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +41¢)
Position in π

The digit sequence 13602 first appears in π at position 40,653 of the decimal expansion (the 40,653ordinal-suffix:rd 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°.