λ
Sigma Notebook

8,509,147

8509147
Deficient Odd Prime

8,509,147 is odd and not a perfect square. Its factorization is 8509147 and its 2 divisors sum to 8,509,148.

Prime Factor Structure

Factorization String 8509147
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,509,148
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8509133 ← → #8509183

Radix Representation

Decimal 8509147
Binary 100000011101011011011011 (24 bits)
Octal 0o40353333
Hexadecimal 0x81D6DB

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

8,509,147 25,527,442 12,763,721 38,291,164 19,145,582 9,572,791 28,718,374 14,359,187 43,077,562 21,538,781 64,616,344 32,308,172 16,154,086 8,077,043 24,231,130 12,115,565 36,346,696 18,173,348 9,086,674 4,543,337 13,630,012 6,815,006 3,407,503 10,222,510 5,111,255 15,333,766 7,666,883 23,000,650 11,500,325 34,500,976 17,250,488 8,625,244 4,312,622 2,156,311 6,468,934 3,234,467 9,703,402 4,851,701 14,555,104 7,277,552 3,638,776 1,819,388 909,694 454,847 1,364,542 682,271 2,046,814 1,023,407 3,070,222 1,535,111 4,605,334 2,302,667 6,908,002 3,454,001 10,362,004 5,181,002 2,590,501 7,771,504 3,885,752 1,942,876

More profiles

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