2,836,075

5² × 11 × 10313

2,836,075 factors as 5^2 × 11 × 10313. Its 12 positive divisors give a proper-divisor sum of 1,000,733, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 10313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,836,808

Proper Divisor Sum 1,000,733

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2836069 ← → #2836079

Radix Representation

Decimal	2836075
Binary	1010110100011001101011 (22 bits)
Octal	0o12643153
Hexadecimal	0x2B466B

Divisor Catalog (12)

1 5 11 25 55 275 10,313 51,565 113,443 257,825 567,215 2,836,075

Collatz Trajectory (107 steps to reach 1)

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

2,836,075 8,508,226 4,254,113 12,762,340 6,381,170 3,190,585 9,571,756 4,785,878 2,392,939 7,178,818 3,589,409 10,768,228 5,384,114 2,692,057 8,076,172 4,038,086 2,019,043 6,057,130 3,028,565 9,085,696 4,542,848 2,271,424 1,135,712 567,856 283,928 141,964 70,982 35,491 106,474 53,237 159,712 79,856 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992

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