λ
Prime Ledger

6,772,561

67 × 271 × 373
Deficient Odd Composite

6,772,561 has the prime decomposition 67 × 271 × 373. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 271 × 373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,917,504
Proper Divisor Sum 144,943
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6772547 ← → #6772609

Radix Representation

Decimal 6772561
Binary 11001110101011101010001 (23 bits)
Octal 0o31653521
Hexadecimal 0x675751

Divisor Catalog (8)

1 67 271 373 18,157 24,991 101,083 6,772,561

Collatz Trajectory (160 steps to reach 1)

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

6,772,561 20,317,684 10,158,842 5,079,421 15,238,264 7,619,132 3,809,566 1,904,783 5,714,350 2,857,175 8,571,526 4,285,763 12,857,290 6,428,645 19,285,936 9,642,968 4,821,484 2,410,742 1,205,371 3,616,114 1,808,057 5,424,172 2,712,086 1,356,043 4,068,130 2,034,065 6,102,196 3,051,098 1,525,549 4,576,648 2,288,324 1,144,162 572,081 1,716,244 858,122 429,061 1,287,184 643,592 321,796 160,898 80,449 241,348 120,674 60,337 181,012 90,506 45,253 135,760 67,880 33,940 16,970 8,485 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162

More profiles

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