4,647,981

3 × 13 × 119179

Starting at 4,647,981, the Collatz iteration reaches 1 after 100 steps. The first transition is 13943944; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 119179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,674,080

Proper Divisor Sum 2,026,099

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4647959 ← → #4648003

Radix Representation

Decimal	4647981
Binary	10001101110110000101101 (23 bits)
Octal	0o21566055
Hexadecimal	0x46EC2D

Divisor Catalog (8)

1 3 13 39 119,179 357,537 1,549,327 4,647,981

Collatz Trajectory (100 steps to reach 1)

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

4,647,981 13,943,944 6,971,972 3,485,986 1,742,993 5,228,980 2,614,490 1,307,245 3,921,736 1,960,868 980,434 490,217 1,470,652 735,326 367,663 1,102,990 551,495 1,654,486 827,243 2,481,730 1,240,865 3,722,596 1,861,298 930,649 2,791,948 1,395,974 697,987 2,093,962 1,046,981 3,140,944 1,570,472 785,236 392,618 196,309 588,928 294,464 147,232 73,616 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916

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