7,724,249

13 × 367 × 1619

7,724,249 factors as 13 × 367 × 1619. Its 8 positive divisors give a proper-divisor sum of 621,991, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 13 × 367 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,346,240

Proper Divisor Sum 621,991

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7724201 ← → #7724257

Radix Representation

Decimal	7724249
Binary	11101011101110011011001 (23 bits)
Octal	0o35356331
Hexadecimal	0x75DCD9

Divisor Catalog (8)

1 13 367 1,619 4,771 21,047 594,173 7,724,249

Collatz Trajectory (98 steps to reach 1)

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

7,724,249 23,172,748 11,586,374 5,793,187 17,379,562 8,689,781 26,069,344 13,034,672 6,517,336 3,258,668 1,629,334 814,667 2,444,002 1,222,001 3,666,004 1,833,002 916,501 2,749,504 1,374,752 687,376 343,688 171,844 85,922 42,961 128,884 64,442 32,221 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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