7,660,436

2² × 7 × 47 × 5821

7,660,436 factors as 2^2 × 7 × 47 × 5821. Its 24 positive divisors give a proper-divisor sum of 7,989,100, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 47 × 5821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,649,536

Proper Divisor Sum 7,989,100

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7660427 ← → #7660459

Radix Representation

Decimal	7660436
Binary	11101001110001110010100 (23 bits)
Octal	0o35161624
Hexadecimal	0x74E394

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

7,660,436 3,830,218 1,915,109 5,745,328 2,872,664 1,436,332 718,166 359,083 1,077,250 538,625 1,615,876 807,938 403,969 1,211,908 605,954 302,977 908,932 454,466 227,233 681,700 340,850 170,425 511,276 255,638 127,819 383,458 191,729 575,188 287,594 143,797 431,392 215,696 107,848 53,924 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593

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