8,501,232

2⁴ × 3 × 177109

8,501,232 factors as 2^4 × 3 × 177109. Its 20 positive divisors give a proper-divisor sum of 13,460,408, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 177109

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 21,961,640

Proper Divisor Sum 13,460,408

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8501221 ← → #8501239

Radix Representation

Decimal	8501232
Binary	100000011011011111110000 (24 bits)
Octal	0o40333760
Hexadecimal	0x81B7F0

Divisor Catalog (20)

Collatz Trajectory (106 steps to reach 1)

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

8,501,232 4,250,616 2,125,308 1,062,654 531,327 1,593,982 796,991 2,390,974 1,195,487 3,586,462 1,793,231 5,379,694 2,689,847 8,069,542 4,034,771 12,104,314 6,052,157 18,156,472 9,078,236 4,539,118 2,269,559 6,808,678 3,404,339 10,213,018 5,106,509 15,319,528 7,659,764 3,829,882 1,914,941 5,744,824 2,872,412 1,436,206 718,103 2,154,310 1,077,155 3,231,466 1,615,733 4,847,200 2,423,600 1,211,800 605,900 302,950 151,475 454,426 227,213 681,640 340,820 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498

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