7,978,490

2 × 5 × 13² × 4721

7,978,490 factors as 2 × 5 × 13^2 × 4721. Its 24 positive divisors give a proper-divisor sum of 7,575,778, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 4721

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,554,268

Proper Divisor Sum 7,575,778

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7978471 ← → #7978519

Radix Representation

Decimal	7978490
Binary	11110011011110111111010 (23 bits)
Octal	0o36336772
Hexadecimal	0x79BDFA

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

7,978,490 3,989,245 11,967,736 5,983,868 2,991,934 1,495,967 4,487,902 2,243,951 6,731,854 3,365,927 10,097,782 5,048,891 15,146,674 7,573,337 22,720,012 11,360,006 5,680,003 17,040,010 8,520,005 25,560,016 12,780,008 6,390,004 3,195,002 1,597,501 4,792,504 2,396,252 1,198,126 599,063 1,797,190 898,595 2,695,786 1,347,893 4,043,680 2,021,840 1,010,920 505,460 252,730 126,365 379,096 189,548 94,774 47,387 142,162 71,081 213,244 106,622 53,311 159,934 79,967 239,902 119,951 359,854 179,927 539,782 269,891 809,674 404,837 1,214,512 607,256 303,628

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