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13,601

13,601 is a composite number, odd.

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.).

13,601 (thirteen thousand six hundred one) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 7 × 29 × 67. Written other ways, in hexadecimal, 0x3521.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
10,631
Recamán's sequence
a(3,974) = 13,601
Square (n²)
184,987,201
Cube (n³)
2,516,010,920,801
Divisor count
8
σ(n) — sum of divisors
16,320
φ(n) — Euler's totient
11,088
Sum of prime factors
103

Primality

Prime factorization: 7 × 29 × 67

Nearest primes: 13,597 (−4) · 13,613 (+12)

Divisors & multiples

All divisors (8)
1 · 7 · 29 · 67 · 203 · 469 · 1943 · 13601
Aliquot sum (sum of proper divisors): 2,719
Factor pairs (a × b = 13,601)
1 × 13601
7 × 1943
29 × 469
67 × 203
First multiples
13,601 · 27,202 (double) · 40,803 · 54,404 · 68,005 · 81,606 · 95,207 · 108,808 · 122,409 · 136,010

Sums & aliquot sequence

As consecutive integers: 6,800 + 6,801 1,940 + 1,941 + … + 1,946 965 + 966 + … + 978 455 + 456 + … + 483
Aliquot sequence: 13,601 2,719 1 0 — terminates at zero

Continued fraction of √n

√13,601 = [116; (1, 1, 1, 1, 1, 8, 1, 2, 2, 1, 1, 3, 17, 1, 1, 1, 32, 1, 1, 1, 17, 3, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand six hundred one
Ordinal
13601st
Binary
11010100100001
Octal
32441
Hexadecimal
0x3521
Base64
NSE=
One's complement
51,934 (16-bit)
Scientific notation
1.3601 × 10⁴
As a duration
13,601 s = 3 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 200122202
quaternary (4) 3110201
quinary (5) 413401
senary (6) 142545
septenary (7) 54440
nonary (9) 20582
undecimal (11) a245
duodecimal (12) 7a55
tridecimal (13) 6263
tetradecimal (14) 4d57
pentadecimal (15) 406b

As an angle

13,601° = 37 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιγχαʹ
Mayan (base 20)
𝋡·𝋮·𝋠·𝋡
Chinese
一萬三千六百零一
Chinese (financial)
壹萬參仟陸佰零壹
In other modern scripts
Eastern Arabic ١٣٦٠١ Devanagari १३६०१ Bengali ১৩৬০১ Tamil ௧௩௬௦௧ Thai ๑๓๖๐๑ Tibetan ༡༣༦༠༡ Khmer ១៣៦០១ Lao ໑໓໖໐໑ Burmese ၁၃၆၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,601 = 3
e — Euler's number (e)
Digit 13,601 = 6
φ — Golden ratio (φ)
Digit 13,601 = 3
√2 — Pythagoras's (√2)
Digit 13,601 = 6
ln 2 — Natural log of 2
Digit 13,601 = 6
γ — Euler-Mascheroni (γ)
Digit 13,601 = 9

Also seen as

Unicode codepoint
CJK Unified Ideograph-3521
U+3521
Other letter (Lo)

UTF-8 encoding: E3 94 A1 (3 bytes).

Hex color
#003521
RGB(0, 53, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.33.

Address
0.0.53.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.33

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

Musical pitch

Heard as a frequency, 13,601 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 13601 first appears in π at position 20,548 of the decimal expansion (the 20,548ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.