9,206,509

13 × 23 × 41 × 751

9,206,509 is odd and not a perfect square. Its factorization is 13 × 23 × 41 × 751 and its 16 divisors sum to 10,612,224.

Prime Factor Structure

Factorization String 13 × 23 × 41 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,612,224

Proper Divisor Sum 1,405,715

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9206497 ← → #9206521

Radix Representation

Decimal	9206509
Binary	100011000111101011101101 (24 bits)
Octal	0o43075355
Hexadecimal	0x8C7AED

Divisor Catalog (16)

1 13 23 41 299 533 751 943 9,763 12,259 17,273 30,791 224,549 400,283 708,193 9,206,509

Collatz Trajectory (101 steps to reach 1)

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

9,206,509 27,619,528 13,809,764 6,904,882 3,452,441 10,357,324 5,178,662 2,589,331 7,767,994 3,883,997 11,651,992 5,825,996 2,912,998 1,456,499 4,369,498 2,184,749 6,554,248 3,277,124 1,638,562 819,281 2,457,844 1,228,922 614,461 1,843,384 921,692 460,846 230,423 691,270 345,635 1,036,906 518,453 1,555,360 777,680 388,840 194,420 97,210 48,605 145,816 72,908 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624

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