λ
Sequence Observatory

7,347,601

7347601
Deficient Odd Prime

Starting at 7,347,601, the Collatz iteration reaches 1 after 59 steps. The first transition is 22042804; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7347601
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,347,602
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7347563 ← → #7347619

Radix Representation

Decimal 7347601
Binary 11100000001110110010001 (23 bits)
Octal 0o34016621
Hexadecimal 0x701D91

Divisor Catalog (2)

Collatz Trajectory (59 steps to reach 1)

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

7,347,601 22,042,804 11,021,402 5,510,701 16,532,104 8,266,052 4,133,026 2,066,513 6,199,540 3,099,770 1,549,885 4,649,656 2,324,828 1,162,414 581,207 1,743,622 871,811 2,615,434 1,307,717 3,923,152 1,961,576 980,788 490,394 245,197 735,592 367,796 183,898 91,949 275,848 137,924 68,962 34,481 103,444 51,722 25,861 77,584 38,792 19,396 9,698 4,849 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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