λ
Sigma Notebook

8,072,821

8072821
Deficient Odd Prime

8,072,821 is odd and not a perfect square. Its factorization is 8072821 and its 2 divisors sum to 8,072,822.

Prime Factor Structure

Factorization String 8072821
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,072,822
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8072809 ← → #8072837

Radix Representation

Decimal 8072821
Binary 11110110010111001110101 (23 bits)
Octal 0o36627165
Hexadecimal 0x7B2E75

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,072,821 24,218,464 12,109,232 6,054,616 3,027,308 1,513,654 756,827 2,270,482 1,135,241 3,405,724 1,702,862 851,431 2,554,294 1,277,147 3,831,442 1,915,721 5,747,164 2,873,582 1,436,791 4,310,374 2,155,187 6,465,562 3,232,781 9,698,344 4,849,172 2,424,586 1,212,293 3,636,880 1,818,440 909,220 454,610 227,305 681,916 340,958 170,479 511,438 255,719 767,158 383,579 1,150,738 575,369 1,726,108 863,054 431,527 1,294,582 647,291 1,941,874 970,937 2,912,812 1,456,406 728,203 2,184,610 1,092,305 3,276,916 1,638,458 819,229 2,457,688 1,228,844 614,422 307,211

More profiles

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