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4,172

4,172 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.).

4,172 (four thousand one hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 149. Its proper divisors sum to 4,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x104C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
56
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
2,714
Recamán's sequence
a(28,732) = 4,172
Square (n²)
17,405,584
Cube (n³)
72,616,096,448
Divisor count
12
σ(n) — sum of divisors
8,400
φ(n) — Euler's totient
1,776
Sum of prime factors
160

Primality

Prime factorization: 2 2 × 7 × 149

Nearest primes: 4,159 (−13) · 4,177 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 149 · 298 · 596 · 1043 · 2086 (half) · 4172
Aliquot sum (sum of proper divisors): 4,228
Factor pairs (a × b = 4,172)
1 × 4172
2 × 2086
4 × 1043
7 × 596
14 × 298
28 × 149
First multiples
4,172 · 8,344 (double) · 12,516 · 16,688 · 20,860 · 25,032 · 29,204 · 33,376 · 37,548 · 41,720

Sums & aliquot sequence

As consecutive integers: 593 + 594 + … + 599 518 + 519 + … + 525 47 + 48 + … + 102
Aliquot sequence: 4,172 4,228 4,284 8,820 22,302 35,298 44,730 90,054 105,102 122,658 122,670 214,290 343,098 523,872 1,068,264 1,910,556 2,991,796 — unresolved within range

Continued fraction of √n

√4,172 = [64; (1, 1, 2, 4, 18, 4, 2, 1, 1, 128)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred seventy-two
Ordinal
4172nd
Binary
1000001001100
Octal
10114
Hexadecimal
0x104C
Base64
EEw=
One's complement
61,363 (16-bit)
Scientific notation
4.172 × 10³
As a duration
4,172 s = 1 hour, 9 minutes, 32 seconds
In other bases
ternary (3) 12201112
quaternary (4) 1001030
quinary (5) 113142
senary (6) 31152
septenary (7) 15110
nonary (9) 5645
undecimal (11) 3153
duodecimal (12) 24b8
tridecimal (13) 1b8c
tetradecimal (14) 1740
pentadecimal (15) 1382

As an angle

4,172° = 11 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵δροβʹ
Mayan (base 20)
𝋪·𝋨·𝋬
Chinese
四千一百七十二
Chinese (financial)
肆仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ٤١٧٢ Devanagari ४१७२ Bengali ৪১৭২ Tamil ௪௧௭௨ Thai ๔๑๗๒ Tibetan ༤༡༧༢ Khmer ៤១៧២ Lao ໔໑໗໒ Burmese ၄၁၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 4,172 = 6
e — Euler's number (e)
Digit 4,172 = 4
φ — Golden ratio (φ)
Digit 4,172 = 7
√2 — Pythagoras's (√2)
Digit 4,172 = 8
ln 2 — Natural log of 2
Digit 4,172 = 2
γ — Euler-Mascheroni (γ)
Digit 4,172 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4172, here are decompositions:

  • 13 + 4159 = 4172
  • 19 + 4153 = 4172
  • 43 + 4129 = 4172
  • 61 + 4111 = 4172
  • 73 + 4099 = 4172
  • 79 + 4093 = 4172
  • 151 + 4021 = 4172
  • 229 + 3943 = 4172

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Symbol Locative
U+104C
Other punctuation (Po)

UTF-8 encoding: E1 81 8C (3 bytes).

Hex color
#00104C
RGB(0, 16, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.76.

Address
0.0.16.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.76

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

Musical pitch

Heard as a frequency, 4,172 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -6¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +32¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -5¢)
Position in π

The digit sequence 4172 first appears in π at position 1,418 of the decimal expansion (the 1,418ordinal-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.