Live analysis

112,572

112,572 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.).

112,572 (one hundred twelve thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 53 × 59. Its proper divisors sum to 182,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B7BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

112,560 112,561 112,562 112,563 112,564 112,565 112,566 112,567 112,568 112,569 112,570 112,571 112,572 112,573 112,574 112,575 112,576 112,577 112,578 112,579 112,580 112,581 112,582 112,583 112,584

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Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 140
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 275,211
Square (n²): 12,672,455,184
Cube (n³): 1,426,563,624,973,248
Divisor count: 36
σ(n) — sum of divisors: 294,840
φ(n) — Euler's totient: 36,192
Sum of prime factors: 122

Primality

Prime factorization: 2 ² × 3 ² × 53 × 59

Nearest primes: 112,571 (−1) · 112,573 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 53 · 59 · 106 · 118 · 159 · 177 · 212 · 236 · 318 · 354 · 477 · 531 · 636 · 708 · 954 · 1062 · 1908 · 2124 · 3127 · 6254 · 9381 · 12508 · 18762 · 28143 · 37524 · 56286 (half) · 112572

Aliquot sum (sum of proper divisors): 182,268

Factor pairs (a × b = 112,572)

1 × 112572

2 × 56286

3 × 37524

4 × 28143

6 × 18762

9 × 12508

12 × 9381

18 × 6254

36 × 3127

53 × 2124

59 × 1908

106 × 1062

118 × 954

159 × 708

177 × 636

212 × 531

236 × 477

318 × 354

First multiples

112,572 · 225,144 (double) · 337,716 · 450,288 · 562,860 · 675,432 · 788,004 · 900,576 · 1,013,148 · 1,125,720

Sums & aliquot sequence

As consecutive integers: 37,523 + 37,524 + 37,525 14,068 + 14,069 + … + 14,075 12,504 + 12,505 + … + 12,512 4,679 + 4,680 + … + 4,702

Aliquot sequence: 112,572 → 182,268 → 291,660 → 525,156 → 714,684 → 952,940 → 1,224,340 → 1,718,012 → 1,288,516 → 984,524 → 738,400 → 1,230,224 → 1,257,712 → 1,179,136 → 1,619,792 → 1,567,504 → 1,479,269 — unresolved within range

Continued fraction of √n

√112,572 = [335; (1, 1, 13, 1, 3, 2, 14, 1, 4, 5, 2, 1, 10, 1, 2, 5, 4, 1, 14, 2, 3, 1, 13, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand five hundred seventy-two
Ordinal: 112572nd
Binary: 11011011110111100
Octal: 333674
Hexadecimal: 0x1B7BC
Base64: Abe8
One's complement: 4,294,854,723 (32-bit)
Scientific notation: 1.12572 × 10⁵
As a duration: 112,572 s = 1 day, 7 hours, 16 minutes, 12 seconds

In other bases

ternary (3) 12201102100

quaternary (4) 123132330

quinary (5) 12100242

senary (6) 2225100

septenary (7) 646125

nonary (9) 181370

undecimal (11) 77639

duodecimal (12) 55190

tridecimal (13) 3c315

tetradecimal (14) 2d04c

pentadecimal (15) 2354c

As an angle

112,572° = 312 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριβφοβʹ
Mayan (base 20): 𝋮·𝋡·𝋨·𝋬
Chinese: 一十一萬二千五百七十二
Chinese (financial): 壹拾壹萬貳仟伍佰柒拾貳

In other modern scripts

Eastern Arabic ١١٢٥٧٢ Devanagari ११२५७२ Bengali ১১২৫৭২ Tamil ௧௧௨௫௭௨ Thai ๑๑๒๕๗๒ Tibetan ༡༡༢༥༧༢ Khmer ១១២៥៧២ Lao ໑໑໒໕໗໒ Burmese ၁၁၂၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112572, here are decompositions:

13 + 112559 = 112572
29 + 112543 = 112572
71 + 112501 = 112572
113 + 112459 = 112572
211 + 112361 = 112572
223 + 112349 = 112572
233 + 112339 = 112572
241 + 112331 = 112572

Showing the first eight; more decompositions exist.

Hex color

#01B7BC

RGB(1, 183, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.188.

Address: 0.1.183.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.183.188

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 112,572 and was likely granted around 1871.

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

Look up US112,572 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112572 first appears in π at position 143,837 of the decimal expansion (the 143,837ordinal-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 112572 on Pi Search ↗