λ
Sequence Observatory

4,617,097

4617097
Deficient Odd Prime

Starting at 4,617,097, the Collatz iteration reaches 1 after 105 steps. The first transition is 13851292; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4617097
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,617,098
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4617083 ← → #4617101

Radix Representation

Decimal 4617097
Binary 10001100111001110001001 (23 bits)
Octal 0o21471611
Hexadecimal 0x467389

Divisor Catalog (2)

1 4,617,097

Collatz Trajectory (105 steps to reach 1)

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

4,617,097 13,851,292 6,925,646 3,462,823 10,388,470 5,194,235 15,582,706 7,791,353 23,374,060 11,687,030 5,843,515 17,530,546 8,765,273 26,295,820 13,147,910 6,573,955 19,721,866 9,860,933 29,582,800 14,791,400 7,395,700 3,697,850 1,848,925 5,546,776 2,773,388 1,386,694 693,347 2,080,042 1,040,021 3,120,064 1,560,032 780,016 390,008 195,004 97,502 48,751 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285

More profiles

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