Live analysis

472,024

472,024 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.).

472,024 (four hundred seventy-two thousand twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 8,429. Its proper divisors sum to 539,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733D8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,012 472,013 472,014 472,015 472,016 472,017 472,018 472,019 472,020 472,021 472,022 472,023 472,024 472,025 472,026 472,027 472,028 472,029 472,030 472,031 472,032 472,033 472,034 472,035 472,036

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 420,274
Square (n²): 222,806,656,576
Cube (n³): 105,170,089,263,629,824
Divisor count: 16
σ(n) — sum of divisors: 1,011,600
φ(n) — Euler's totient: 202,272
Sum of prime factors: 8,442

Primality

Prime factorization: 2 ³ × 7 × 8429

Nearest primes: 472,019 (−5) · 472,027 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 8429 · 16858 · 33716 · 59003 · 67432 · 118006 · 236012 (half) · 472024

Aliquot sum (sum of proper divisors): 539,576

Factor pairs (a × b = 472,024)

1 × 472024

2 × 236012

4 × 118006

7 × 67432

8 × 59003

14 × 33716

28 × 16858

56 × 8429

First multiples

472,024 · 944,048 (double) · 1,416,072 · 1,888,096 · 2,360,120 · 2,832,144 · 3,304,168 · 3,776,192 · 4,248,216 · 4,720,240

Sums & aliquot sequence

As consecutive integers: 67,429 + 67,430 + … + 67,435 29,494 + 29,495 + … + 29,509 4,159 + 4,160 + … + 4,270

Aliquot sequence: 472,024 → 539,576 → 472,144 → 483,152 → 452,986 → 261,254 → 186,634 → 133,334 → 68,386 → 37,598 → 23,962 → 11,984 → 14,800 → 21,718 → 10,862 → 5,434 → 4,646 — unresolved within range

Continued fraction of √n

√472,024 = [687; (24, 1, 56, 3, 2, 2, 4, 152, 2, 4, 2, 1, 1, 4, 6, 6, 1, 23, 4, 16, 1, 2, 1, 1, …)]

Representations

In words: four hundred seventy-two thousand twenty-four
Ordinal: 472024th
Binary: 1110011001111011000
Octal: 1631730
Hexadecimal: 0x733D8
Base64: BzPY
One's complement: 4,294,495,271 (32-bit)
Scientific notation: 4.72024 × 10⁵
As a duration: 472,024 s = 5 days, 11 hours, 7 minutes, 4 seconds

In other bases

ternary (3) 212222111101

quaternary (4) 1303033120

quinary (5) 110101044

senary (6) 14041144

septenary (7) 4004110

nonary (9) 788441

undecimal (11) 2a2703

duodecimal (12) 1a91b4

tridecimal (13) 136b07

tetradecimal (14) c4040

pentadecimal (15) 94cd4

As an angle

472,024° = 1,311 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβκδʹ
Chinese: 四十七萬二千零二十四
Chinese (financial): 肆拾柒萬貳仟零貳拾肆

In other modern scripts

Eastern Arabic ٤٧٢٠٢٤ Devanagari ४७२०२४ Bengali ৪৭২০২৪ Tamil ௪௭௨௦௨௪ Thai ๔๗๒๐๒๔ Tibetan ༤༧༢༠༢༤ Khmer ៤៧២០២៤ Lao ໔໗໒໐໒໔ Burmese ၄၇၂၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472024, here are decompositions:

5 + 472019 = 472024
101 + 471923 = 472024
131 + 471893 = 472024
233 + 471791 = 472024
347 + 471677 = 472024
353 + 471671 = 472024
383 + 471641 = 472024
431 + 471593 = 472024

Showing the first eight; more decompositions exist.

Hex color

#0733D8

RGB(7, 51, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.216.

Address: 0.7.51.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.216

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 472,024 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US472,024 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472024 first appears in π at position 506,997 of the decimal expansion (the 506,997ordinal-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 472024 on Pi Search ↗