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Atlas › Integer Profiles › Node 7,945,008

7,945,008

24 × 3 × 103 × 1607
Abundant Even Composite

7,945,008 factors as 2^4 × 3 × 103 × 1607. Its 40 positive divisors give a proper-divisor sum of 12,791,760, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 103 × 1607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,736,768
Proper Divisor Sum 12,791,760
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7944991 ← → #7945031

Radix Representation

Decimal 7945008
Binary 11110010011101100110000 (23 bits)
Octal 0o36235460
Hexadecimal 0x793B30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1,236 1,607 1,648 2,472 3,214 4,821 4,944 6,428 9,642 12,856 19,284 25,712 38,568 77,136 165,521 331,042 496,563 662,084 993,126 1,324,168 1,986,252 2,648,336 3,972,504 7,945,008

Collatz Trajectory (155 steps to reach 1)

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

7,945,008 3,972,504 1,986,252 993,126 496,563 1,489,690 744,845 2,234,536 1,117,268 558,634 279,317 837,952 418,976 209,488 104,744 52,372 26,186 13,093 39,280 19,640 9,820 4,910 2,455 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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