7,731,493

7 × 11 × 31 × 41 × 79

7,731,493 has digital root 7. The neighboring primes are 7731491 and 7731497; its proper-divisor sum differs from the starting integer by -5,141,066.

Prime Factor Structure

Factorization String 7 × 11 × 31 × 41 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,321,920

Proper Divisor Sum 2,590,427

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7731491 ← → #7731497

Radix Representation

Decimal	7731493
Binary	11101011111100100100101 (23 bits)
Octal	0o35374445
Hexadecimal	0x75F925

Divisor Catalog (32)

1 7 11 31 41 77 79 217 287 341 451 553 869 1,271 2,387 2,449 3,157 3,239 6,083 8,897 13,981 17,143 22,673 26,939 35,629 97,867 100,409 188,573 249,403 702,863 1,104,499 7,731,493

Collatz Trajectory (124 steps to reach 1)

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

7,731,493 23,194,480 11,597,240 5,798,620 2,899,310 1,449,655 4,348,966 2,174,483 6,523,450 3,261,725 9,785,176 4,892,588 2,446,294 1,223,147 3,669,442 1,834,721 5,504,164 2,752,082 1,376,041 4,128,124 2,064,062 1,032,031 3,096,094 1,548,047 4,644,142 2,322,071 6,966,214 3,483,107 10,449,322 5,224,661 15,673,984 7,836,992 3,918,496 1,959,248 979,624 489,812 244,906 122,453 367,360 183,680 91,840 45,920 22,960 11,480 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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