Live analysis

42,072

42,072 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.).

42,072 (forty-two thousand seventy-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 1,753. Its proper divisors sum to 63,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA458.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

42,060 42,061 42,062 42,063 42,064 42,065 42,066 42,067 42,068 42,069 42,070 42,071 42,072 42,073 42,074 42,075 42,076 42,077 42,078 42,079 42,080 42,081 42,082 42,083 42,084

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 16 bits
Reversed: 27,024
Recamán's sequence: a(151,479) = 42,072
Square (n²): 1,770,053,184
Cube (n³): 74,469,677,557,248
Divisor count: 16
σ(n) — sum of divisors: 105,240
φ(n) — Euler's totient: 14,016
Sum of prime factors: 1,762

Primality

Prime factorization: 2 ³ × 3 × 1753

Nearest primes: 42,071 (−1) · 42,073 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 1753 · 3506 · 5259 · 7012 · 10518 · 14024 · 21036 (half) · 42072

Aliquot sum (sum of proper divisors): 63,168

Factor pairs (a × b = 42,072)

1 × 42072

2 × 21036

3 × 14024

4 × 10518

6 × 7012

8 × 5259

12 × 3506

24 × 1753

First multiples

42,072 · 84,144 (double) · 126,216 · 168,288 · 210,360 · 252,432 · 294,504 · 336,576 · 378,648 · 420,720

Sums & aliquot sequence

As consecutive integers: 14,023 + 14,024 + 14,025 2,622 + 2,623 + … + 2,637 853 + 854 + … + 900

Aliquot sequence: 42,072 → 63,168 → 131,904 → 247,826 → 158,470 → 168,122 → 84,064 → 88,304 → 82,816 → 82,424 → 72,136 → 66,104 → 57,856 → 58,766 → 29,386 → 21,014 → 17,386 — unresolved within range

Continued fraction of √n

√42,072 = [205; (8, 1, 2, 1, 1, 1, 5, 7, 51, 7, 5, 1, 1, 1, 2, 1, 8, 410)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand seventy-two
Ordinal: 42072nd
Binary: 1010010001011000
Octal: 122130
Hexadecimal: 0xA458
Base64: pFg=
One's complement: 23,463 (16-bit)
Scientific notation: 4.2072 × 10⁴
As a duration: 42,072 s = 11 hours, 41 minutes, 12 seconds

In other bases

ternary (3) 2010201020

quaternary (4) 22101120

quinary (5) 2321242

senary (6) 522440

septenary (7) 233442

nonary (9) 63636

undecimal (11) 29678

duodecimal (12) 20420

tridecimal (13) 161c4

tetradecimal (14) 11492

pentadecimal (15) c6ec

Palindromic in base 9

As an angle

42,072° = 116 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵μβοβʹ
Mayan (base 20): 𝋥·𝋥·𝋣·𝋬
Chinese: 四萬二千零七十二
Chinese (financial): 肆萬貳仟零柒拾貳

In other modern scripts

Eastern Arabic ٤٢٠٧٢ Devanagari ४२०७२ Bengali ৪২০৭২ Tamil ௪௨௦௭௨ Thai ๔๒๐๗๒ Tibetan ༤༢༠༧༢ Khmer ៤២០៧២ Lao ໔໒໐໗໒ Burmese ၄၂၀၇၂

Digit at this position in famous constants

π — Pi (π): Digit 42,072 = 6
e — Euler's number (e): Digit 42,072 = 7
φ — Golden ratio (φ): Digit 42,072 = 3
√2 — Pythagoras's (√2): Digit 42,072 = 4
ln 2 — Natural log of 2: Digit 42,072 = 8
γ — Euler-Mascheroni (γ): Digit 42,072 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42072, here are decompositions:

11 + 42061 = 42072
29 + 42043 = 42072
53 + 42019 = 42072
59 + 42013 = 42072
73 + 41999 = 42072
89 + 41983 = 42072
103 + 41969 = 42072
113 + 41959 = 42072

Showing the first eight; more decompositions exist.

Unicode codepoint

ꑘ

Yi Syllable Nyop

U+A458

Other letter (Lo)

UTF-8 encoding: EA 91 98 (3 bytes).

Lookup U+A458 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A458

RGB(0, 164, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.88.

Address: 0.0.164.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.164.88

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

Position in π

The digit sequence 42072 first appears in π at position 45,751 of the decimal expansion (the 45,751ordinal-suffix:st 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 42072 on Pi Search ↗