Live analysis

13,600

13,600 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.).

13,600 (thirteen thousand six hundred) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 17. Its proper divisors sum to 21,554, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3520.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,588 13,589 13,590 13,591 13,592 13,593 13,594 13,595 13,596 13,597 13,598 13,599 13,600 13,601 13,602 13,603 13,604 13,605 13,606 13,607 13,608 13,609 13,610 13,611 13,612

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 631
Recamán's sequence: a(3,972) = 13,600
Square (n²): 184,960,000
Cube (n³): 2,515,456,000,000
Divisor count: 36
σ(n) — sum of divisors: 35,154
φ(n) — Euler's totient: 5,120
Sum of prime factors: 37

Primality

Prime factorization: 2 ⁵ × 5 ² × 17

Nearest primes: 13,597 (−3) · 13,613 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 32 · 34 · 40 · 50 · 68 · 80 · 85 · 100 · 136 · 160 · 170 · 200 · 272 · 340 · 400 · 425 · 544 · 680 · 800 · 850 · 1360 · 1700 · 2720 · 3400 · 6800 (half) · 13600

Aliquot sum (sum of proper divisors): 21,554

Factor pairs (a × b = 13,600)

1 × 13600

2 × 6800

4 × 3400

5 × 2720

8 × 1700

10 × 1360

16 × 850

17 × 800

20 × 680

25 × 544

32 × 425

34 × 400

40 × 340

50 × 272

68 × 200

80 × 170

85 × 160

100 × 136

First multiples

13,600 · 27,200 (double) · 40,800 · 54,400 · 68,000 · 81,600 · 95,200 · 108,800 · 122,400 · 136,000

Sums & aliquot sequence

As a sum of two squares: 12² + 116² = 44² + 108² = 60² + 100²

As consecutive integers: 2,718 + 2,719 + 2,720 + 2,721 + 2,722 792 + 793 + … + 808 532 + 533 + … + 556 181 + 182 + … + 244

Aliquot sequence: 13,600 → 21,554 → 13,306 → 6,656 → 7,666 → 3,836 → 3,892 → 3,948 → 6,804 → 13,580 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 — unresolved within range

Continued fraction of √n

√13,600 = [116; (1, 1, 1, 1, 1, 1, 1, 232)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand six hundred
Ordinal: 13600th
Binary: 11010100100000
Octal: 32440
Hexadecimal: 0x3520
Base64: NSA=
One's complement: 51,935 (16-bit)
Scientific notation: 1.36 × 10⁴
As a duration: 13,600 s = 3 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 200122201

quaternary (4) 3110200

quinary (5) 413400

senary (6) 142544

septenary (7) 54436

nonary (9) 20581

undecimal (11) a244

duodecimal (12) 7a54

tridecimal (13) 6262

tetradecimal (14) 4d56

pentadecimal (15) 406a

As an angle

13,600° = 37 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ιγχʹ
Mayan (base 20): 𝋡·𝋮·𝋠·𝋠
Chinese: 一萬三千六百
Chinese (financial): 壹萬參仟陸佰

In other modern scripts

Eastern Arabic ١٣٦٠٠ Devanagari १३६०० Bengali ১৩৬০০ Tamil ௧௩௬௦௦ Thai ๑๓๖๐๐ Tibetan ༡༣༦༠༠ Khmer ១៣៦០០ Lao ໑໓໖໐໐ Burmese ၁၃၆၀၀

Digit at this position in famous constants

π — Pi (π): Digit 13,600 = 1
e — Euler's number (e): Digit 13,600 = 9
φ — Golden ratio (φ): Digit 13,600 = 2
√2 — Pythagoras's (√2): Digit 13,600 = 6
ln 2 — Natural log of 2: Digit 13,600 = 9
γ — Euler-Mascheroni (γ): Digit 13,600 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13600, here are decompositions:

3 + 13597 = 13600
23 + 13577 = 13600
47 + 13553 = 13600
101 + 13499 = 13600
113 + 13487 = 13600
131 + 13469 = 13600
137 + 13463 = 13600
149 + 13451 = 13600

Showing the first eight; more decompositions exist.

Unicode codepoint

㔠

CJK Unified Ideograph-3520

U+3520

Other letter (Lo)

UTF-8 encoding: E3 94 A0 (3 bytes).

Lookup U+3520 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003520

RGB(0, 53, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.32.

Address: 0.0.53.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.32

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

Musical pitch

Heard as a frequency, 13,600 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 13600 first appears in π at position 94,549 of the decimal expansion (the 94,549ordinal-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 13600 on Pi Search ↗