Live analysis

21,400

21,400 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.).

21,400 (twenty-one thousand four hundred) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 107. Its proper divisors sum to 28,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5398.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

21,388 21,389 21,390 21,391 21,392 21,393 21,394 21,395 21,396 21,397 21,398 21,399 21,400 21,401 21,402 21,403 21,404 21,405 21,406 21,407 21,408 21,409 21,410 21,411 21,412

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 15 bits
Reversed: 412
Recamán's sequence: a(41,039) = 21,400
Square (n²): 457,960,000
Cube (n³): 9,800,344,000,000
Divisor count: 24
σ(n) — sum of divisors: 50,220
φ(n) — Euler's totient: 8,480
Sum of prime factors: 123

Primality

Prime factorization: 2 ³ × 5 ² × 107

Nearest primes: 21,397 (−3) · 21,401 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 107 · 200 · 214 · 428 · 535 · 856 · 1070 · 2140 · 2675 · 4280 · 5350 · 10700 (half) · 21400

Aliquot sum (sum of proper divisors): 28,820

Factor pairs (a × b = 21,400)

1 × 21400

2 × 10700

4 × 5350

5 × 4280

8 × 2675

10 × 2140

20 × 1070

25 × 856

40 × 535

50 × 428

100 × 214

107 × 200

First multiples

21,400 · 42,800 (double) · 64,200 · 85,600 · 107,000 · 128,400 · 149,800 · 171,200 · 192,600 · 214,000

Sums & aliquot sequence

As consecutive integers: 4,278 + 4,279 + 4,280 + 4,281 + 4,282 1,330 + 1,331 + … + 1,345 844 + 845 + … + 868 228 + 229 + … + 307

Aliquot sequence: 21,400 → 28,820 → 37,708 → 34,364 → 32,668 → 24,508 → 22,364 → 16,780 → 18,500 → 22,996 → 17,254 → 8,630 → 6,922 → 3,464 → 3,046 → 1,526 → 1,114 — unresolved within range

Continued fraction of √n

√21,400 = [146; (3, 2, 11, 1, 3, 4, 1, 31, 1, 2, 3, 6, 1, 5, 9, 3, 1, 2, 1, 5, 1, 10, 1, 5, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: twenty-one thousand four hundred
Ordinal: 21400th
Binary: 101001110011000
Octal: 51630
Hexadecimal: 0x5398
Base64: U5g=
One's complement: 44,135 (16-bit)
Scientific notation: 2.14 × 10⁴
As a duration: 21,400 s = 5 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 1002100121

quaternary (4) 11032120

quinary (5) 1141100

senary (6) 243024

septenary (7) 116251

nonary (9) 32317

undecimal (11) 15095

duodecimal (12) 10474

tridecimal (13) 9982

tetradecimal (14) 7b28

pentadecimal (15) 651a

As an angle

21,400° = 59 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵καυʹ
Mayan (base 20): 𝋢·𝋭·𝋪·𝋠
Chinese: 二萬一千四百
Chinese (financial): 貳萬壹仟肆佰

In other modern scripts

Eastern Arabic ٢١٤٠٠ Devanagari २१४०० Bengali ২১৪০০ Tamil ௨௧௪௦௦ Thai ๒๑๔๐๐ Tibetan ༢༡༤༠༠ Khmer ២១៤០០ Lao ໒໑໔໐໐ Burmese ၂၁၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 21,400 = 4
e — Euler's number (e): Digit 21,400 = 8
φ — Golden ratio (φ): Digit 21,400 = 7
√2 — Pythagoras's (√2): Digit 21,400 = 2
ln 2 — Natural log of 2: Digit 21,400 = 3
γ — Euler-Mascheroni (γ): Digit 21,400 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21400, here are decompositions:

3 + 21397 = 21400
17 + 21383 = 21400
23 + 21377 = 21400
53 + 21347 = 21400
59 + 21341 = 21400
83 + 21317 = 21400
131 + 21269 = 21400
173 + 21227 = 21400

Showing the first eight; more decompositions exist.

Unicode codepoint

厘

CJK Unified Ideograph-5398

U+5398

Other letter (Lo)

UTF-8 encoding: E5 8E 98 (3 bytes).

Lookup U+5398 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#005398

RGB(0, 83, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.152.

Address: 0.0.83.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.83.152

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

Position in π

The digit sequence 21400 first appears in π at position 141,772 of the decimal expansion (the 141,772ordinal-suffix:nd 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 21400 on Pi Search ↗