λ
Prime Ledger

7,635,641

13 × 31 × 18947
Deficient Odd Composite

7,635,641 has the prime decomposition 13 × 31 × 18947. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 31 × 18947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,488,704
Proper Divisor Sum 853,063
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7635631 ← → #7635647

Radix Representation

Decimal 7635641
Binary 11101001000001010111001 (23 bits)
Octal 0o35101271
Hexadecimal 0x7482B9

Divisor Catalog (8)

1 13 31 403 18,947 246,311 587,357 7,635,641

Collatz Trajectory (173 steps to reach 1)

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

7,635,641 22,906,924 11,453,462 5,726,731 17,180,194 8,590,097 25,770,292 12,885,146 6,442,573 19,327,720 9,663,860 4,831,930 2,415,965 7,247,896 3,623,948 1,811,974 905,987 2,717,962 1,358,981 4,076,944 2,038,472 1,019,236 509,618 254,809 764,428 382,214 191,107 573,322 286,661 859,984 429,992 214,996 107,498 53,749 161,248 80,624 40,312 20,156 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348

More profiles

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