7,007,024

2⁴ × 53 × 8263

7,007,024 has the prime decomposition 2^4 × 53 × 8263. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 53 × 8263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,833,936

Proper Divisor Sum 6,826,912

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7007003 ← → #7007027

Radix Representation

Decimal	7007024
Binary	11010101110101100110000 (23 bits)
Octal	0o32565460
Hexadecimal	0x6AEB30

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 8,263 16,526 33,052 66,104 132,208 437,939 875,878 1,751,756 3,503,512 7,007,024

Collatz Trajectory (191 steps to reach 1)

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

7,007,024 3,503,512 1,751,756 875,878 437,939 1,313,818 656,909 1,970,728 985,364 492,682 246,341 739,024 369,512 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649 280,948 140,474 70,237 210,712 105,356 52,678 26,339 79,018 39,509 118,528 59,264 29,632 14,816 7,408

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