7,946,512

2⁴ × 7 × 70951

7,946,512 factors as 2^4 × 7 × 70951. Its 20 positive divisors give a proper-divisor sum of 9,649,584, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 70951

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 17,596,096

Proper Divisor Sum 9,649,584

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7946507 ← → #7946513

Radix Representation

Decimal	7946512
Binary	11110010100000100010000 (23 bits)
Octal	0o36240420
Hexadecimal	0x794110

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 70,951 141,902 283,804 496,657 567,608 993,314 1,135,216 1,986,628 3,973,256 7,946,512

Collatz Trajectory (93 steps to reach 1)

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

7,946,512 3,973,256 1,986,628 993,314 496,657 1,489,972 744,986 372,493 1,117,480 558,740 279,370 139,685 419,056 209,528 104,764 52,382 26,191 78,574 39,287 117,862 58,931 176,794 88,397 265,192 132,596 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404

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