λ
Prime Ledger

9,057,761

41 × 173 × 1277
Deficient Odd Composite

9,057,761 has the prime decomposition 41 × 173 × 1277. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 41 × 173 × 1277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,339,624
Proper Divisor Sum 281,863
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9057749 ← → #9057779

Radix Representation

Decimal 9057761
Binary 100010100011010111100001 (24 bits)
Octal 0o42432741
Hexadecimal 0x8A35E1

Divisor Catalog (8)

1 41 173 1,277 7,093 52,357 220,921 9,057,761

Collatz Trajectory (225 steps to reach 1)

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

9,057,761 27,173,284 13,586,642 6,793,321 20,379,964 10,189,982 5,094,991 15,284,974 7,642,487 22,927,462 11,463,731 34,391,194 17,195,597 51,586,792 25,793,396 12,896,698 6,448,349 19,345,048 9,672,524 4,836,262 2,418,131 7,254,394 3,627,197 10,881,592 5,440,796 2,720,398 1,360,199 4,080,598 2,040,299 6,120,898 3,060,449 9,181,348 4,590,674 2,295,337 6,886,012 3,443,006 1,721,503 5,164,510 2,582,255 7,746,766 3,873,383 11,620,150 5,810,075 17,430,226 8,715,113 26,145,340 13,072,670 6,536,335 19,609,006 9,804,503 29,413,510 14,706,755 44,120,266 22,060,133 66,180,400 33,090,200 16,545,100 8,272,550 4,136,275 12,408,826

More profiles

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