13,573,727

991 × 13697

13,573,727 factors as 991 × 13697. Its 4 positive divisors give a proper-divisor sum of 14,689, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 991 × 13697

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 13,588,416

Proper Divisor Sum 14,689

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13573723 ← → #13573757

Radix Representation

Decimal	13573727
Binary	110011110001111001011111 (24 bits)
Octal	0o63617137
Hexadecimal	0xCF1E5F

Divisor Catalog (4)

1 991 13,697 13,573,727

Collatz Trajectory (135 steps to reach 1)

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

13,573,727 40,721,182 20,360,591 61,081,774 30,540,887 91,622,662 45,811,331 137,433,994 68,716,997 206,150,992 103,075,496 51,537,748 25,768,874 12,884,437 38,653,312 19,326,656 9,663,328 4,831,664 2,415,832 1,207,916 603,958 301,979 905,938 452,969 1,358,908 679,454 339,727 1,019,182 509,591 1,528,774 764,387 2,293,162 1,146,581 3,439,744 1,719,872 859,936 429,968 214,984 107,492 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350

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