8,761,347

3² × 7² × 19867

8,761,347 factors as 3^2 × 7^2 × 19867. Its 18 positive divisors give a proper-divisor sum of 5,960,841, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 19867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,722,188

Proper Divisor Sum 5,960,841

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8761339 ← → #8761429

Radix Representation

Decimal	8761347
Binary	100001011011000000000011 (24 bits)
Octal	0o41330003
Hexadecimal	0x85B003

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 19,867 59,601 139,069 178,803 417,207 973,483 1,251,621 2,920,449 8,761,347

Collatz Trajectory (168 steps to reach 1)

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

8,761,347 26,284,042 13,142,021 39,426,064 19,713,032 9,856,516 4,928,258 2,464,129 7,392,388 3,696,194 1,848,097 5,544,292 2,772,146 1,386,073 4,158,220 2,079,110 1,039,555 3,118,666 1,559,333 4,678,000 2,339,000 1,169,500 584,750 292,375 877,126 438,563 1,315,690 657,845 1,973,536 986,768 493,384 246,692 123,346 61,673 185,020 92,510 46,255 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396 24,698 12,349 37,048 18,524 9,262

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