7,456,943

13 × 37² × 419

7,456,943 factors as 13 × 37^2 × 419. Its 12 positive divisors give a proper-divisor sum of 816,217, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 13 × 37^2 × 419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,273,160

Proper Divisor Sum 816,217

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7456921 ← → #7456963

Radix Representation

Decimal	7456943
Binary	11100011100100010101111 (23 bits)
Octal	0o34344257
Hexadecimal	0x71C8AF

Divisor Catalog (12)

1 13 37 419 481 1,369 5,447 15,503 17,797 201,539 573,611 7,456,943

Collatz Trajectory (235 steps to reach 1)

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

7,456,943 22,370,830 11,185,415 33,556,246 16,778,123 50,334,370 25,167,185 75,501,556 37,750,778 18,875,389 56,626,168 28,313,084 14,156,542 7,078,271 21,234,814 10,617,407 31,852,222 15,926,111 47,778,334 23,889,167 71,667,502 35,833,751 107,501,254 53,750,627 161,251,882 80,625,941 241,877,824 120,938,912 60,469,456 30,234,728 15,117,364 7,558,682 3,779,341 11,338,024 5,669,012 2,834,506 1,417,253 4,251,760 2,125,880 1,062,940 531,470 265,735 797,206 398,603 1,195,810 597,905 1,793,716 896,858 448,429 1,345,288 672,644 336,322 168,161 504,484 252,242 126,121 378,364 189,182 94,591 283,774

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