7,743,331

71 × 191 × 571

7,743,331 factors as 71 × 191 × 571. Its 8 positive divisors give a proper-divisor sum of 163,997, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 71 × 191 × 571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,907,328

Proper Divisor Sum 163,997

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7743233 ← → #7743371

Radix Representation

Decimal	7743331
Binary	11101100010011101100011 (23 bits)
Octal	0o35423543
Hexadecimal	0x762763

Divisor Catalog (8)

1 71 191 571 13,561 40,541 109,061 7,743,331

Collatz Trajectory (93 steps to reach 1)

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

7,743,331 23,229,994 11,614,997 34,844,992 17,422,496 8,711,248 4,355,624 2,177,812 1,088,906 544,453 1,633,360 816,680 408,340 204,170 102,085 306,256 153,128 76,564 38,282 19,141 57,424 28,712 14,356 7,178 3,589 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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