8,508,505

5 × 23 × 241 × 307

8,508,505 has digital root 4. The neighboring primes are 8508491 and 8508509; its proper-divisor sum differs from the starting integer by -6,283,826.

Prime Factor Structure

Factorization String 5 × 23 × 241 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,733,184

Proper Divisor Sum 2,224,679

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8508491 ← → #8508509

Radix Representation

Decimal	8508505
Binary	100000011101010001011001 (24 bits)
Octal	0o40352131
Hexadecimal	0x81D459

Divisor Catalog (16)

1 5 23 115 241 307 1,205 1,535 5,543 7,061 27,715 35,305 73,987 369,935 1,701,701 8,508,505

Collatz Trajectory (106 steps to reach 1)

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

8,508,505 25,525,516 12,762,758 6,381,379 19,144,138 9,572,069 28,716,208 14,358,104 7,179,052 3,589,526 1,794,763 5,384,290 2,692,145 8,076,436 4,038,218 2,019,109 6,057,328 3,028,664 1,514,332 757,166 378,583 1,135,750 567,875 1,703,626 851,813 2,555,440 1,277,720 638,860 319,430 159,715 479,146 239,573 718,720 359,360 179,680 89,840 44,920 22,460 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996

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