8,492,247

3² × 103 × 9161

8,492,247 factors as 3^2 × 103 × 9161. Its 12 positive divisors give a proper-divisor sum of 3,894,777, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3^2 × 103 × 9161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,387,024

Proper Divisor Sum 3,894,777

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8492201 ← → #8492249

Radix Representation

Decimal	8492247
Binary	100000011001010011010111 (24 bits)
Octal	0o40312327
Hexadecimal	0x8194D7

Divisor Catalog (12)

1 3 9 103 309 927 9,161 27,483 82,449 943,583 2,830,749 8,492,247

Collatz Trajectory (106 steps to reach 1)

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

8,492,247 25,476,742 12,738,371 38,215,114 19,107,557 57,322,672 28,661,336 14,330,668 7,165,334 3,582,667 10,748,002 5,374,001 16,122,004 8,061,002 4,030,501 12,091,504 6,045,752 3,022,876 1,511,438 755,719 2,267,158 1,133,579 3,400,738 1,700,369 5,101,108 2,550,554 1,275,277 3,825,832 1,912,916 956,458 478,229 1,434,688 717,344 358,672 179,336 89,668 44,834 22,417 67,252 33,626 16,813 50,440 25,220 12,610 6,305 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981

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