λ
Sigma Notebook

8,472,673

11 × 349 × 2207
Deficient Odd Composite

8,472,673 is odd and not a perfect square. Its factorization is 11 × 349 × 2207 and its 8 divisors sum to 9,273,600.

Prime Factor Structure

Factorization String 11 × 349 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,273,600
Proper Divisor Sum 800,927
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8472661 ← → #8472683

Radix Representation

Decimal 8472673
Binary 100000010100100001100001 (24 bits)
Octal 0o40244141
Hexadecimal 0x814861

Divisor Catalog (8)

1 11 349 2,207 3,839 24,277 770,243 8,472,673

Collatz Trajectory (155 steps to reach 1)

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

8,472,673 25,418,020 12,709,010 6,354,505 19,063,516 9,531,758 4,765,879 14,297,638 7,148,819 21,446,458 10,723,229 32,169,688 16,084,844 8,042,422 4,021,211 12,063,634 6,031,817 18,095,452 9,047,726 4,523,863 13,571,590 6,785,795 20,357,386 10,178,693 30,536,080 15,268,040 7,634,020 3,817,010 1,908,505 5,725,516 2,862,758 1,431,379 4,294,138 2,147,069 6,441,208 3,220,604 1,610,302 805,151 2,415,454 1,207,727 3,623,182 1,811,591 5,434,774 2,717,387 8,152,162 4,076,081 12,228,244 6,114,122 3,057,061 9,171,184 4,585,592 2,292,796 1,146,398 573,199 1,719,598 859,799 2,579,398 1,289,699 3,869,098 1,934,549

More profiles

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