7,950,005

5 × 7² × 37 × 877

7,950,005 factors as 5 × 7^2 × 37 × 877. Its 24 positive divisors give a proper-divisor sum of 3,460,483, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 37 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,410,488

Proper Divisor Sum 3,460,483

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7950001 ← → #7950109

Radix Representation

Decimal	7950005
Binary	11110010100111010110101 (23 bits)
Octal	0o36247265
Hexadecimal	0x794EB5

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

7,950,005 23,850,016 11,925,008 5,962,504 2,981,252 1,490,626 745,313 2,235,940 1,117,970 558,985 1,676,956 838,478 419,239 1,257,718 628,859 1,886,578 943,289 2,829,868 1,414,934 707,467 2,122,402 1,061,201 3,183,604 1,591,802 795,901 2,387,704 1,193,852 596,926 298,463 895,390 447,695 1,343,086 671,543 2,014,630 1,007,315 3,021,946 1,510,973 4,532,920 2,266,460 1,133,230 566,615 1,699,846 849,923 2,549,770 1,274,885 3,824,656 1,912,328 956,164 478,082 239,041 717,124 358,562 179,281 537,844 268,922 134,461 403,384 201,692 100,846 50,423

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