Number

1,572

1,572 is a composite number, even, a calendar year.

1,572 (one thousand five hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 131. Its proper divisors sum to 2,124, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDLXXII and in binary, 11000100100.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,560 1,561 1,562 1,563 1,564 1,565 1,566 1,567 1,568 1,569 1,570 1,571 1,572 1,573 1,574 1,575 1,576 1,577 1,578 1,579 1,580 1,581 1,582 1,583 1,584

less more

Notable events — 1572 AD

Aug 24 The St. Bartholomew's Day Massacre slaughters thousands of French Huguenots.
Apr 1 The Sea Beggars seize Brielle, igniting the Dutch revolt.
Nov 11 Tycho Brahe observes a supernova in Cassiopeia.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 1572
Ended on: Sunday
December 31, 1572
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1570s
1570–1579
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 454
454 years before 2026.

In other calendars

Hebrew: 5332 / 5333 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 979 / 980 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2115 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 950 / 951 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1564 / 1565 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1494 / 1493 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 70
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 2,751
Recamán's sequence: a(1,372) = 1,572
Square (n²): 2,471,184
Cube (n³): 3,884,701,248
Divisor count: 12
σ(n) — sum of divisors: 3,696
φ(n) — Euler's totient: 520
Sum of prime factors: 138

Primality

Prime factorization: 2 ² × 3 × 131

Nearest primes: 1,571 (−1) · 1,579 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 131 · 262 · 393 · 524 · 786 (half) · 1572

Aliquot sum (sum of proper divisors): 2,124

Factor pairs (a × b = 1,572)

1 × 1572

2 × 786

3 × 524

4 × 393

6 × 262

12 × 131

First multiples

1,572 · 3,144 (double) · 4,716 · 6,288 · 7,860 · 9,432 · 11,004 · 12,576 · 14,148 · 15,720

Sums & aliquot sequence

As consecutive integers: 523 + 524 + 525 193 + 194 + … + 200 54 + 55 + … + 77

Aliquot sequence: 1,572 → 2,124 → 3,336 → 5,064 → 7,656 → 13,944 → 26,376 → 49,464 → 88,536 → 187,944 → 295,896 → 443,904 → 812,340 → 1,652,304 → 2,767,056 → 4,803,888 → 7,914,048 — unresolved within range

Continued fraction of √n

√1,572 = [39; (1, 1, 1, 5, 2, 3, 3, 6, 3, 3, 2, 5, 1, 1, 1, 78)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred seventy-two
Ordinal: 1572nd
Roman numeral: MDLXXII
Binary: 11000100100
Octal: 3044
Hexadecimal: 0x624
Base64: BiQ=
One's complement: 63,963 (16-bit)
Scientific notation: 1.572 × 10³
As a duration: 1,572 s = 26 minutes, 12 seconds

In other bases

ternary (3) 2011020

quaternary (4) 120210

quinary (5) 22242

senary (6) 11140

septenary (7) 4404

nonary (9) 2136

undecimal (11) 11aa

duodecimal (12) ab0

tridecimal (13) 93c

tetradecimal (14) 804

pentadecimal (15) 6ec

As an angle

1,572° = 4 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αφοβʹ
Mayan (base 20): 𝋣·𝋲·𝋬
Chinese: 一千五百七十二
Chinese (financial): 壹仟伍佰柒拾貳

In other modern scripts

Eastern Arabic ١٥٧٢ Devanagari १५७२ Bengali ১৫৭২ Tamil ௧௫௭௨ Thai ๑๕๗๒ Tibetan ༡༥༧༢ Khmer ១៥៧២ Lao ໑໕໗໒ Burmese ၁၅၇၂

Digit at this position in famous constants

π — Pi (π): Digit 1,572 = 5
e — Euler's number (e): Digit 1,572 = 0
φ — Golden ratio (φ): Digit 1,572 = 2
√2 — Pythagoras's (√2): Digit 1,572 = 2
ln 2 — Natural log of 2: Digit 1,572 = 9
γ — Euler-Mascheroni (γ): Digit 1,572 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1572, here are decompositions:

5 + 1567 = 1572
13 + 1559 = 1572
19 + 1553 = 1572
23 + 1549 = 1572
29 + 1543 = 1572
41 + 1531 = 1572
61 + 1511 = 1572
73 + 1499 = 1572

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Waw With Hamza Above

U+0624

Other letter (Lo)

UTF-8 encoding: D8 A4 (2 bytes).

Lookup U+0624 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000624

RGB(0, 6, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.36.

Address: 0.0.6.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.36

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

Musical pitch

Heard as a frequency, 1,572 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +6¢)

Position in π

The digit sequence 1572 first appears in π at position 5,669 of the decimal expansion (the 5,669ordinal-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 1572 on Pi Search ↗