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Atlas › Integer Profiles › Node 2,808,972

2,808,972

22 × 33 × 31 × 839
Abundant Even Composite

2,808,972 factors as 2^2 × 3^3 × 31 × 839. Its 48 positive divisors give a proper-divisor sum of 4,717,428, so this integer is abundant. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 31 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,526,400
Proper Divisor Sum 4,717,428
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2808959 ← → #2808977

Radix Representation

Decimal 2808972
Binary 1010101101110010001100 (22 bits)
Octal 0o12556214
Hexadecimal 0x2ADC8C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 839 1,116 1,674 1,678 2,517 3,348 3,356 5,034 7,551 10,068 15,102 22,653 26,009 30,204 45,306 52,018 78,027 90,612 104,036 156,054 234,081 312,108 468,162 702,243 936,324 1,404,486 2,808,972

Collatz Trajectory (275 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,808,972 1,404,486 702,243 2,106,730 1,053,365 3,160,096 1,580,048 790,024 395,012 197,506 98,753 296,260 148,130 74,065 222,196 111,098 55,549 166,648 83,324 41,662 20,831 62,494 31,247 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913

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