Live analysis

72,042

72,042 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.).

72,042 (seventy-two thousand forty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 12,007. Its proper divisors sum to 72,054, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1196A.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

72,030 72,031 72,032 72,033 72,034 72,035 72,036 72,037 72,038 72,039 72,040 72,041 72,042 72,043 72,044 72,045 72,046 72,047 72,048 72,049 72,050 72,051 72,052 72,053 72,054

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 24,027
Recamán's sequence: a(127,515) = 72,042
Square (n²): 5,190,049,764
Cube (n³): 373,901,565,098,088
Divisor count: 8
σ(n) — sum of divisors: 144,096
φ(n) — Euler's totient: 24,012
Sum of prime factors: 12,012

Primality

Prime factorization: 2 × 3 × 12007

Nearest primes: 72,031 (−11) · 72,043 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 12007 · 24014 · 36021 (half) · 72042

Aliquot sum (sum of proper divisors): 72,054

Factor pairs (a × b = 72,042)

1 × 72042

2 × 36021

3 × 24014

6 × 12007

First multiples

72,042 · 144,084 (double) · 216,126 · 288,168 · 360,210 · 432,252 · 504,294 · 576,336 · 648,378 · 720,420

Sums & aliquot sequence

As consecutive integers: 24,013 + 24,014 + 24,015 18,009 + 18,010 + 18,011 + 18,012 5,998 + 5,999 + … + 6,009

Aliquot sequence: 72,042 → 72,054 → 84,102 → 86,970 → 138,822 → 155,370 → 217,590 → 304,698 → 319,398 → 319,410 → 734,670 → 1,242,954 → 1,471,446 → 1,943,658 → 2,267,640 → 5,103,360 → 12,593,592 — unresolved within range

Continued fraction of √n

√72,042 = [268; (2, 2, 5, 1, 5, 3, 15, 1, 19, 1, 2, 2, 2, 1, 3, 1, 2, 4, 12, 1, 6, 3, 31, 3, …)]

Representations

In words: seventy-two thousand forty-two
Ordinal: 72042nd
Binary: 10001100101101010
Octal: 214552
Hexadecimal: 0x1196A
Base64: ARlq
One's complement: 4,294,895,253 (32-bit)
Scientific notation: 7.2042 × 10⁴
As a duration: 72,042 s = 20 hours, 42 seconds

In other bases

ternary (3) 10122211020

quaternary (4) 101211222

quinary (5) 4301132

senary (6) 1313310

septenary (7) 420015

nonary (9) 118736

undecimal (11) 4a143

duodecimal (12) 35836

tridecimal (13) 26a39

tetradecimal (14) 1c37c

pentadecimal (15) 1652c

As an angle

72,042° = 200 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 · 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵οβμβʹ
Mayan (base 20): 𝋩·𝋠·𝋢·𝋢
Chinese: 七萬二千零四十二
Chinese (financial): 柒萬貳仟零肆拾貳

In other modern scripts

Eastern Arabic ٧٢٠٤٢ Devanagari ७२०४२ Bengali ৭২০৪২ Tamil ௭௨௦௪௨ Thai ๗๒๐๔๒ Tibetan ༧༢༠༤༢ Khmer ៧២០៤២ Lao ໗໒໐໔໒ Burmese ၇၂၀၄၂

Digit at this position in famous constants

π — Pi (π): Digit 72,042 = 9
e — Euler's number (e): Digit 72,042 = 4
φ — Golden ratio (φ): Digit 72,042 = 9
√2 — Pythagoras's (√2): Digit 72,042 = 5
ln 2 — Natural log of 2: Digit 72,042 = 6
γ — Euler-Mascheroni (γ): Digit 72,042 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72042, here are decompositions:

11 + 72031 = 72042
23 + 72019 = 72042
43 + 71999 = 72042
59 + 71983 = 72042
71 + 71971 = 72042
79 + 71963 = 72042
101 + 71941 = 72042
109 + 71933 = 72042

Showing the first eight; more decompositions exist.

Hex color

#01196A

RGB(1, 25, 106)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.106.

Address: 0.1.25.106
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.25.106

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

Position in π

The digit sequence 72042 first appears in π at position 68,650 of the decimal expansion (the 68,650ordinal-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 72042 on Pi Search ↗