7,480,977

3 × 7² × 50891

7,480,977 factors as 3 × 7^2 × 50891. Its 12 positive divisors give a proper-divisor sum of 4,122,399, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 50891

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,603,376

Proper Divisor Sum 4,122,399

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7480937 ← → #7481009

Radix Representation

Decimal	7480977
Binary	11100100010011010010001 (23 bits)
Octal	0o34423221
Hexadecimal	0x722691

Divisor Catalog (12)

1 3 7 21 49 147 50,891 152,673 356,237 1,068,711 2,493,659 7,480,977

Collatz Trajectory (173 steps to reach 1)

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

7,480,977 22,442,932 11,221,466 5,610,733 16,832,200 8,416,100 4,208,050 2,104,025 6,312,076 3,156,038 1,578,019 4,734,058 2,367,029 7,101,088 3,550,544 1,775,272 887,636 443,818 221,909 665,728 332,864 166,432 83,216 41,608 20,804 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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