1,949,820

2² × 3 × 5 × 32497

Starting at 1,949,820, the Collatz iteration reaches 1 after 153 steps. The first transition is 974910; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 32497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,459,664

Proper Divisor Sum 3,509,844

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1949819 ← → #1949821

Radix Representation

Decimal	1949820
Binary	111011100000001111100 (21 bits)
Octal	0o7340174
Hexadecimal	0x1DC07C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 32,497 64,994 97,491 129,988 162,485 194,982 324,970 389,964 487,455 649,940 974,910 1,949,820

Collatz Trajectory (153 steps to reach 1)

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

1,949,820 974,910 487,455 1,462,366 731,183 2,193,550 1,096,775 3,290,326 1,645,163 4,935,490 2,467,745 7,403,236 3,701,618 1,850,809 5,552,428 2,776,214 1,388,107 4,164,322 2,082,161 6,246,484 3,123,242 1,561,621 4,684,864 2,342,432 1,171,216 585,608 292,804 146,402 73,201 219,604 109,802 54,901 164,704 82,352 41,176 20,588 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222

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