Live analysis

4,100

4,100 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.).

4,100 (four thousand one hundred) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 41. Its proper divisors sum to 5,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1004.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,088 4,089 4,090 4,091 4,092 4,093 4,094 4,095 4,096 4,097 4,098 4,099 4,100 4,101 4,102 4,103 4,104 4,105 4,106 4,107 4,108 4,109 4,110 4,111 4,112

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 14
Recamán's sequence: a(28,876) = 4,100
Square (n²): 16,810,000
Cube (n³): 68,921,000,000
Divisor count: 18
σ(n) — sum of divisors: 9,114
φ(n) — Euler's totient: 1,600
Sum of prime factors: 55

Primality

Prime factorization: 2 ² × 5 ² × 41

Nearest primes: 4,099 (−1) · 4,111 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 41 · 50 · 82 · 100 · 164 · 205 · 410 · 820 · 1025 · 2050 (half) · 4100

Aliquot sum (sum of proper divisors): 5,014

Factor pairs (a × b = 4,100)

1 × 4100

2 × 2050

4 × 1025

5 × 820

10 × 410

20 × 205

25 × 164

41 × 100

50 × 82

First multiples

4,100 · 8,200 (double) · 12,300 · 16,400 · 20,500 · 24,600 · 28,700 · 32,800 · 36,900 · 41,000

Sums & aliquot sequence

As a sum of two squares: 2² + 64² = 16² + 62² = 40² + 50²

As consecutive integers: 818 + 819 + 820 + 821 + 822 509 + 510 + … + 516 152 + 153 + … + 176 83 + 84 + … + 122

Aliquot sequence: 4,100 → 5,014 → 2,906 → 1,456 → 2,016 → 4,536 → 9,984 → 18,632 → 18,628 → 13,978 → 7,802 → 4,294 → 2,546 → 1,534 → 986 → 634 → 320 — unresolved within range

Continued fraction of √n

√4,100 = [64; (32, 128)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four thousand one hundred
Ordinal: 4100th
Binary: 1000000000100
Octal: 10004
Hexadecimal: 0x1004
Base64: EAQ=
One's complement: 61,435 (16-bit)
Scientific notation: 4.1 × 10³
As a duration: 4,100 s = 1 hour, 8 minutes, 20 seconds

In other bases

ternary (3) 12121212

quaternary (4) 1000010

quinary (5) 112400

senary (6) 30552

septenary (7) 14645

nonary (9) 5555

undecimal (11) 3098

duodecimal (12) 2458

tridecimal (13) 1b35

tetradecimal (14) 16cc

pentadecimal (15) 1335

Palindromic in base 9

As an angle

4,100° = 11 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢
Greek (Milesian): ͵δρʹ
Mayan (base 20): 𝋪·𝋥·𝋠
Chinese: 四千一百
Chinese (financial): 肆仟壹佰

In other modern scripts

Eastern Arabic ٤١٠٠ Devanagari ४१०० Bengali ৪১০০ Tamil ௪௧௦௦ Thai ๔๑๐๐ Tibetan ༤༡༠༠ Khmer ៤១០០ Lao ໔໑໐໐ Burmese ၄၁၀၀

Digit at this position in famous constants

π — Pi (π): Digit 4,100 = 4
e — Euler's number (e): Digit 4,100 = 4
φ — Golden ratio (φ): Digit 4,100 = 2
√2 — Pythagoras's (√2): Digit 4,100 = 5
ln 2 — Natural log of 2: Digit 4,100 = 0
γ — Euler-Mascheroni (γ): Digit 4,100 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4100, here are decompositions:

7 + 4093 = 4100
43 + 4057 = 4100
73 + 4027 = 4100
79 + 4021 = 4100
97 + 4003 = 4100
157 + 3943 = 4100
181 + 3919 = 4100
193 + 3907 = 4100

Showing the first eight; more decompositions exist.

Unicode codepoint

င

Myanmar Letter Nga

U+1004

Other letter (Lo)

UTF-8 encoding: E1 80 84 (3 bytes).

Lookup U+1004 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001004

RGB(0, 16, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.4.

Address: 0.0.16.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.4

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

Musical pitch

Heard as a frequency, 4,100 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -35¢)

Position in π

The digit sequence 4100 first appears in π at position 1,815 of the decimal expansion (the 1,815ordinal-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 4100 on Pi Search ↗