Live analysis

472,116

472,116 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.).

472,116 (four hundred seventy-two thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 39,343. Its proper divisors sum to 629,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73434.

Abundant Number Cube-Free Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,104 472,105 472,106 472,107 472,108 472,109 472,110 472,111 472,112 472,113 472,114 472,115 472,116 472,117 472,118 472,119 472,120 472,121 472,122 472,123 472,124 472,125 472,126 472,127 472,128

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 336
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 611,274
Square (n²): 222,893,517,456
Cube (n³): 105,231,595,887,256,896
Divisor count: 12
σ(n) — sum of divisors: 1,101,632
φ(n) — Euler's totient: 157,368
Sum of prime factors: 39,350

Primality

Prime factorization: 2 ² × 3 × 39343

Nearest primes: 472,111 (−5) · 472,123 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 39343 · 78686 · 118029 · 157372 · 236058 (half) · 472116

Aliquot sum (sum of proper divisors): 629,516

Factor pairs (a × b = 472,116)

1 × 472116

2 × 236058

3 × 157372

4 × 118029

6 × 78686

12 × 39343

First multiples

472,116 · 944,232 (double) · 1,416,348 · 1,888,464 · 2,360,580 · 2,832,696 · 3,304,812 · 3,776,928 · 4,249,044 · 4,721,160

Sums & aliquot sequence

As consecutive integers: 157,371 + 157,372 + 157,373 59,011 + 59,012 + … + 59,018 19,660 + 19,661 + … + 19,683

Aliquot sequence: 472,116 → 629,516 → 477,772 → 385,524 → 589,086 → 720,114 → 728,814 → 728,826 → 1,038,630 → 1,488,570 → 2,274,150 → 3,366,114 → 3,366,126 → 4,098,474 → 4,781,592 → 8,983,368 → 15,346,782 — unresolved within range

Continued fraction of √n

√472,116 = [687; (9, 2, 1, 7, 11, 1, 2, 1, 1, 8, 1, 9, 2, 3, 2, 6, 68, 1, 1, 4, 59, 1, 1, 8, …)]

Representations

In words: four hundred seventy-two thousand one hundred sixteen
Ordinal: 472116th
Binary: 1110011010000110100
Octal: 1632064
Hexadecimal: 0x73434
Base64: BzQ0
One's complement: 4,294,495,179 (32-bit)
Scientific notation: 4.72116 × 10⁵
As a duration: 472,116 s = 5 days, 11 hours, 8 minutes, 36 seconds

In other bases

ternary (3) 212222121210

quaternary (4) 1303100310

quinary (5) 110101431

senary (6) 14041420

septenary (7) 4004301

nonary (9) 788553

undecimal (11) 2a2787

duodecimal (12) 1a9270

tridecimal (13) 136b78

tetradecimal (14) c40a8

pentadecimal (15) 94d46

As an angle

472,116° = 1,311 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβριϛʹ
Chinese: 四十七萬二千一百一十六
Chinese (financial): 肆拾柒萬貳仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ٤٧٢١١٦ Devanagari ४७२११६ Bengali ৪৭২১১৬ Tamil ௪௭௨௧௧௬ Thai ๔๗๒๑๑๖ Tibetan ༤༧༢༡༡༦ Khmer ៤៧២១១៦ Lao ໔໗໒໑໑໖ Burmese ၄၇၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472116, here are decompositions:

5 + 472111 = 472116
13 + 472103 = 472116
53 + 472063 = 472116
59 + 472057 = 472116
89 + 472027 = 472116
97 + 472019 = 472116
157 + 471959 = 472116
167 + 471949 = 472116

Showing the first eight; more decompositions exist.

Hex color

#073434

RGB(7, 52, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.52.

Address: 0.7.52.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.52

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 472,116 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 US472,116 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472116 first appears in π at position 425,128 of the decimal expansion (the 425,128ordinal-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 472116 on Pi Search ↗