7,129,148

2² × 13 × 47 × 2917

7,129,148 factors as 2^2 × 13 × 47 × 2917. Its 24 positive divisors give a proper-divisor sum of 6,597,124, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 2917

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,726,272

Proper Divisor Sum 6,597,124

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7129127 ← → #7129159

Radix Representation

Decimal	7129148
Binary	11011001100100000111100 (23 bits)
Octal	0o33144074
Hexadecimal	0x6CC83C

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

7,129,148 3,564,574 1,782,287 5,346,862 2,673,431 8,020,294 4,010,147 12,030,442 6,015,221 18,045,664 9,022,832 4,511,416 2,255,708 1,127,854 563,927 1,691,782 845,891 2,537,674 1,268,837 3,806,512 1,903,256 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402 1,085,201 3,255,604 1,627,802

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