λ
Prime Ledger

7,757,005

5 × 281 × 5521
Deficient Odd Composite

7,757,005 has the prime decomposition 5 × 281 × 5521. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 281 × 5521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,343,224
Proper Divisor Sum 1,586,219
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7756999 ← → #7757011

Radix Representation

Decimal 7757005
Binary 11101100101110011001101 (23 bits)
Octal 0o35456315
Hexadecimal 0x765CCD

Divisor Catalog (8)

1 5 281 1,405 5,521 27,605 1,551,401 7,757,005

Collatz Trajectory (155 steps to reach 1)

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

7,757,005 23,271,016 11,635,508 5,817,754 2,908,877 8,726,632 4,363,316 2,181,658 1,090,829 3,272,488 1,636,244 818,122 409,061 1,227,184 613,592 306,796 153,398 76,699 230,098 115,049 345,148 172,574 86,287 258,862 129,431 388,294 194,147 582,442 291,221 873,664 436,832 218,416 109,208 54,604 27,302 13,651 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244

More profiles

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