7,503,790

2 × 5 × 7 × 107197

7,503,790 factors as 2 × 5 × 7 × 107197. Its 16 positive divisors give a proper-divisor sum of 7,932,722, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 107197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,436,512

Proper Divisor Sum 7,932,722

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7503787 ← → #7503809

Radix Representation

Decimal	7503790
Binary	11100100111111110101110 (23 bits)
Octal	0o34477656
Hexadecimal	0x727FAE

Divisor Catalog (16)

1 2 5 7 10 14 35 70 107,197 214,394 535,985 750,379 1,071,970 1,500,758 3,751,895 7,503,790

Collatz Trajectory (134 steps to reach 1)

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

7,503,790 3,751,895 11,255,686 5,627,843 16,883,530 8,441,765 25,325,296 12,662,648 6,331,324 3,165,662 1,582,831 4,748,494 2,374,247 7,122,742 3,561,371 10,684,114 5,342,057 16,026,172 8,013,086 4,006,543 12,019,630 6,009,815 18,029,446 9,014,723 27,044,170 13,522,085 40,566,256 20,283,128 10,141,564 5,070,782 2,535,391 7,606,174 3,803,087 11,409,262 5,704,631 17,113,894 8,556,947 25,670,842 12,835,421 38,506,264 19,253,132 9,626,566 4,813,283 14,439,850 7,219,925 21,659,776 10,829,888 5,414,944 2,707,472 1,353,736 676,868 338,434 169,217 507,652 253,826 126,913 380,740 190,370 95,185 285,556

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