λ
Sigma Notebook

8,341,215

3 × 5 × 79 × 7039
Deficient Odd Composite

8,341,215 is odd and not a perfect square. Its factorization is 3 × 5 × 79 × 7039 and its 16 divisors sum to 13,516,800.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 7039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,516,800
Proper Divisor Sum 5,175,585
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8341213 ← → #8341217

Radix Representation

Decimal 8341215
Binary 11111110100011011011111 (23 bits)
Octal 0o37643337
Hexadecimal 0x7F46DF

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 7,039 21,117 35,195 105,585 556,081 1,668,243 2,780,405 8,341,215

Collatz Trajectory (155 steps to reach 1)

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

8,341,215 25,023,646 12,511,823 37,535,470 18,767,735 56,303,206 28,151,603 84,454,810 42,227,405 126,682,216 63,341,108 31,670,554 15,835,277 47,505,832 23,752,916 11,876,458 5,938,229 17,814,688 8,907,344 4,453,672 2,226,836 1,113,418 556,709 1,670,128 835,064 417,532 208,766 104,383 313,150 156,575 469,726 234,863 704,590 352,295 1,056,886 528,443 1,585,330 792,665 2,377,996 1,188,998 594,499 1,783,498 891,749 2,675,248 1,337,624 668,812 334,406 167,203 501,610 250,805 752,416 376,208 188,104 94,052 47,026 23,513 70,540 35,270 17,635 52,906

More profiles

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