λ
Sequence Observatory

4,656,107

31 × 150197
Deficient Odd Composite

Starting at 4,656,107, the Collatz iteration reaches 1 after 87 steps. The first transition is 13968322; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 150197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,806,336
Proper Divisor Sum 150,229
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4656089 ← → #4656139

Radix Representation

Decimal 4656107
Binary 10001110000101111101011 (23 bits)
Octal 0o21605753
Hexadecimal 0x470BEB

Divisor Catalog (4)

1 31 150,197 4,656,107

Collatz Trajectory (87 steps to reach 1)

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

4,656,107 13,968,322 6,984,161 20,952,484 10,476,242 5,238,121 15,714,364 7,857,182 3,928,591 11,785,774 5,892,887 17,678,662 8,839,331 26,517,994 13,258,997 39,776,992 19,888,496 9,944,248 4,972,124 2,486,062 1,243,031 3,729,094 1,864,547 5,593,642 2,796,821 8,390,464 4,195,232 2,097,616 1,048,808 524,404 262,202 131,101 393,304 196,652 98,326 49,163 147,490 73,745 221,236 110,618 55,309 165,928 82,964 41,482 20,741 62,224 31,112 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821

More profiles

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