λ
Sequence Observatory

3,702,841

3702841
Deficient Odd Prime

Starting at 3,702,841, the Collatz iteration reaches 1 after 141 steps. The first transition is 11108524; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3702841
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,702,842
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3702823 ← → #3702869

Radix Representation

Decimal 3702841
Binary 1110001000000000111001 (22 bits)
Octal 0o16100071
Hexadecimal 0x388039

Divisor Catalog (2)

Collatz Trajectory (141 steps to reach 1)

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

3,702,841 11,108,524 5,554,262 2,777,131 8,331,394 4,165,697 12,497,092 6,248,546 3,124,273 9,372,820 4,686,410 2,343,205 7,029,616 3,514,808 1,757,404 878,702 439,351 1,318,054 659,027 1,977,082 988,541 2,965,624 1,482,812 741,406 370,703 1,112,110 556,055 1,668,166 834,083 2,502,250 1,251,125 3,753,376 1,876,688 938,344 469,172 234,586 117,293 351,880 175,940 87,970 43,985 131,956 65,978 32,989 98,968 49,484 24,742 12,371 37,114 18,557 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489

More profiles

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