Live analysis

83,472

83,472 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.).

83,472 (eighty-three thousand four hundred seventy-two) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 37 × 47. Its proper divisors sum to 142,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14610.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

83,460 83,461 83,462 83,463 83,464 83,465 83,466 83,467 83,468 83,469 83,470 83,471 83,472 83,473 83,474 83,475 83,476 83,477 83,478 83,479 83,480 83,481 83,482 83,483 83,484

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 1,344
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 27,438
Recamán's sequence: a(115,747) = 83,472
Square (n²): 6,967,574,784
Cube (n³): 581,597,402,370,048
Divisor count: 40
σ(n) — sum of divisors: 226,176
φ(n) — Euler's totient: 26,496
Sum of prime factors: 95

Primality

Prime factorization: 2 ⁴ × 3 × 37 × 47

Nearest primes: 83,471 (−1) · 83,477 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 37 · 47 · 48 · 74 · 94 · 111 · 141 · 148 · 188 · 222 · 282 · 296 · 376 · 444 · 564 · 592 · 752 · 888 · 1128 · 1739 · 1776 · 2256 · 3478 · 5217 · 6956 · 10434 · 13912 · 20868 · 27824 · 41736 (half) · 83472

Aliquot sum (sum of proper divisors): 142,704

Factor pairs (a × b = 83,472)

1 × 83472

2 × 41736

3 × 27824

4 × 20868

6 × 13912

8 × 10434

12 × 6956

16 × 5217

24 × 3478

37 × 2256

47 × 1776

48 × 1739

74 × 1128

94 × 888

111 × 752

141 × 592

148 × 564

188 × 444

222 × 376

282 × 296

First multiples

83,472 · 166,944 (double) · 250,416 · 333,888 · 417,360 · 500,832 · 584,304 · 667,776 · 751,248 · 834,720

Sums & aliquot sequence

As consecutive integers: 27,823 + 27,824 + 27,825 2,593 + 2,594 + … + 2,624 2,238 + 2,239 + … + 2,274 1,753 + 1,754 + … + 1,799

Aliquot sequence: 83,472 → 142,704 → 257,072 → 241,036 → 180,784 → 169,516 → 127,144 → 121,976 → 110,824 → 126,776 → 145,384 → 143,516 → 107,644 → 91,940 → 101,176 → 88,544 → 85,840 — unresolved within range

Continued fraction of √n

√83,472 = [288; (1, 10, 1, 3, 1, 6, 12, 6, 1, 3, 1, 10, 1, 576)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: eighty-three thousand four hundred seventy-two
Ordinal: 83472nd
Binary: 10100011000010000
Octal: 243020
Hexadecimal: 0x14610
Base64: AUYQ
One's complement: 4,294,883,823 (32-bit)
Scientific notation: 8.3472 × 10⁴
As a duration: 83,472 s = 23 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 11020111120

quaternary (4) 110120100

quinary (5) 10132342

senary (6) 1442240

septenary (7) 465234

nonary (9) 136446

undecimal (11) 57794

duodecimal (12) 40380

tridecimal (13) 2bcbc

tetradecimal (14) 225c4

pentadecimal (15) 19aec

As an angle

83,472° = 231 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵πγυοβʹ
Mayan (base 20): 𝋪·𝋨·𝋭·𝋬
Chinese: 八萬三千四百七十二
Chinese (financial): 捌萬參仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ٨٣٤٧٢ Devanagari ८३४७२ Bengali ৮৩৪৭২ Tamil ௮௩௪௭௨ Thai ๘๓๔๗๒ Tibetan ༨༣༤༧༢ Khmer ៨៣៤៧២ Lao ໘໓໔໗໒ Burmese ၈၃၄၇၂

Digit at this position in famous constants

π — Pi (π): Digit 83,472 = 0
e — Euler's number (e): Digit 83,472 = 1
φ — Golden ratio (φ): Digit 83,472 = 6
√2 — Pythagoras's (√2): Digit 83,472 = 0
ln 2 — Natural log of 2: Digit 83,472 = 1
γ — Euler-Mascheroni (γ): Digit 83,472 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 83472, here are decompositions:

13 + 83459 = 83472
23 + 83449 = 83472
29 + 83443 = 83472
41 + 83431 = 83472
71 + 83401 = 83472
73 + 83399 = 83472
83 + 83389 = 83472
89 + 83383 = 83472

Showing the first eight; more decompositions exist.

Unicode codepoint

𔘐

Anatolian Hieroglyph A473

U+14610

Other letter (Lo)

UTF-8 encoding: F0 94 98 90 (4 bytes).

Lookup U+14610 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#014610

RGB(1, 70, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.70.16.

Address: 0.1.70.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.70.16

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

Position in π

The digit sequence 83472 first appears in π at position 96,105 of the decimal expansion (the 96,105ordinal-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 83472 on Pi Search ↗