7,667,891

7 × 11³ × 823

7,667,891 is odd and not a perfect square. Its factorization is 7 × 11^3 × 823 and its 16 divisors sum to 9,650,688.

Prime Factor Structure

Factorization String 7 × 11^3 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,650,688

Proper Divisor Sum 1,982,797

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7667873 ← → #7667893

Radix Representation

Decimal	7667891
Binary	11101010000000010110011 (23 bits)
Octal	0o35200263
Hexadecimal	0x7500B3

Divisor Catalog (16)

1 7 11 77 121 823 847 1,331 5,761 9,053 9,317 63,371 99,583 697,081 1,095,413 7,667,891

Collatz Trajectory (124 steps to reach 1)

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

7,667,891 23,003,674 11,501,837 34,505,512 17,252,756 8,626,378 4,313,189 12,939,568 6,469,784 3,234,892 1,617,446 808,723 2,426,170 1,213,085 3,639,256 1,819,628 909,814 454,907 1,364,722 682,361 2,047,084 1,023,542 511,771 1,535,314 767,657 2,302,972 1,151,486 575,743 1,727,230 863,615 2,590,846 1,295,423 3,886,270 1,943,135 5,829,406 2,914,703 8,744,110 4,372,055 13,116,166 6,558,083 19,674,250 9,837,125 29,511,376 14,755,688 7,377,844 3,688,922 1,844,461 5,533,384 2,766,692 1,383,346 691,673 2,075,020 1,037,510 518,755 1,556,266 778,133 2,334,400 1,167,200 583,600 291,800

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