λ
Sigma Notebook

6,792,273

32 × 397 × 1901
Deficient Odd Composite

6,792,273 is odd and not a perfect square. Its factorization is 3^2 × 397 × 1901 and its 12 divisors sum to 9,840,948.

Prime Factor Structure

Factorization String 3^2 × 397 × 1901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,840,948
Proper Divisor Sum 3,048,675
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6792271 ← → #6792281

Radix Representation

Decimal 6792273
Binary 11001111010010001010001 (23 bits)
Octal 0o31722121
Hexadecimal 0x67A451

Divisor Catalog (12)

1 3 9 397 1,191 1,901 3,573 5,703 17,109 754,697 2,264,091 6,792,273

Collatz Trajectory (129 steps to reach 1)

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

6,792,273 20,376,820 10,188,410 5,094,205 15,282,616 7,641,308 3,820,654 1,910,327 5,730,982 2,865,491 8,596,474 4,298,237 12,894,712 6,447,356 3,223,678 1,611,839 4,835,518 2,417,759 7,253,278 3,626,639 10,879,918 5,439,959 16,319,878 8,159,939 24,479,818 12,239,909 36,719,728 18,359,864 9,179,932 4,589,966 2,294,983 6,884,950 3,442,475 10,327,426 5,163,713 15,491,140 7,745,570 3,872,785 11,618,356 5,809,178 2,904,589 8,713,768 4,356,884 2,178,442 1,089,221 3,267,664 1,633,832 816,916 408,458 204,229 612,688 306,344 153,172 76,586 38,293 114,880 57,440 28,720 14,360 7,180

More profiles

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