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2,972

2,972 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
2,792
Recamán's sequence
a(1,231) = 2,972
Square (n²)
8,832,784
Cube (n³)
26,251,034,048
Divisor count
6
σ(n) — sum of divisors
5,208
φ(n) — Euler's totient
1,484
Sum of prime factors
747

Primality

Prime factorization: 2 2 × 743

Nearest primes: 2,971 (−1) · 2,999 (+27)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 743 · 1486 (half) · 2972
Aliquot sum (sum of proper divisors): 2,236
Factor pairs (a × b = 2,972)
1 × 2972
2 × 1486
4 × 743
First multiples
2,972 · 5,944 (double) · 8,916 · 11,888 · 14,860 · 17,832 · 20,804 · 23,776 · 26,748 · 29,720

Sums & aliquot sequence

As consecutive integers: 368 + 369 + … + 375
Aliquot sequence: 2,972 2,236 2,076 2,796 3,756 5,036 3,784 4,136 4,504 3,956 3,436 2,584 2,816 3,316 2,494 1,466 736 — unresolved within range

Representations

In words
two thousand nine hundred seventy-two
Ordinal
2972nd
Roman numeral
MMCMLXXII
Binary
101110011100
Octal
5634
Hexadecimal
0xB9C
Base64
C5w=
One's complement
62,563 (16-bit)
In other bases
ternary (3) 11002002
quaternary (4) 232130
quinary (5) 43342
senary (6) 21432
septenary (7) 11444
nonary (9) 4062
undecimal (11) 2262
duodecimal (12) 1878
tridecimal (13) 1478
tetradecimal (14) 1124
pentadecimal (15) d32

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵βϡοβʹ
Mayan (base 20)
𝋧·𝋨·𝋬
Chinese
二千九百七十二
Chinese (financial)
貳仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٢٩٧٢ Devanagari २९७२ Bengali ২৯৭২ Tamil ௨௯௭௨ Thai ๒๙๗๒ Tibetan ༢༩༧༢ Khmer ២៩៧២ Lao ໒໙໗໒ Burmese ၂၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 2,972 = 1
e — Euler's number (e)
Digit 2,972 = 5
φ — Golden ratio (φ)
Digit 2,972 = 6
√2 — Pythagoras's (√2)
Digit 2,972 = 6
ln 2 — Natural log of 2
Digit 2,972 = 3
γ — Euler-Mascheroni (γ)
Digit 2,972 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2972, here are decompositions:

  • 3 + 2969 = 2972
  • 19 + 2953 = 2972
  • 139 + 2833 = 2972
  • 181 + 2791 = 2972
  • 223 + 2749 = 2972
  • 241 + 2731 = 2972
  • 283 + 2689 = 2972
  • 313 + 2659 = 2972

Showing the first eight; more decompositions exist.

Unicode codepoint
Tamil Letter Ja
U+0B9C
Other letter (Lo)

UTF-8 encoding: E0 AE 9C (3 bytes).

Hex color
#000B9C
RGB(0, 11, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.156.

Address
0.0.11.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.11.156

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000002972
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 2972 first appears in π at position 6,166 of the decimal expansion (the 6,166ordinal-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.