λ
Sequence Observatory

1,642,309

1642309
Deficient Odd Prime

Starting at 1,642,309, the Collatz iteration reaches 1 after 101 steps. The first transition is 4926928; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1642309
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,642,310
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1642297 ← → #1642313

Radix Representation

Decimal 1642309
Binary 110010000111101000101 (21 bits)
Octal 0o6207505
Hexadecimal 0x190F45

Divisor Catalog (2)

Collatz Trajectory (101 steps to reach 1)

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

1,642,309 4,926,928 2,463,464 1,231,732 615,866 307,933 923,800 461,900 230,950 115,475 346,426 173,213 519,640 259,820 129,910 64,955 194,866 97,433 292,300 146,150 73,075 219,226 109,613 328,840 164,420 82,210 41,105 123,316 61,658 30,829 92,488 46,244 23,122 11,561 34,684 17,342 8,671 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512

More profiles

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