618,945

3 × 5 × 41263

Starting at 618,945, the Collatz iteration reaches 1 after 141 steps. The first transition is 1856836; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 990,336

Proper Divisor Sum 371,391

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #618941 ← → #618971

Radix Representation

Decimal	618945
Binary	10010111000111000001 (20 bits)
Octal	0o2270701
Hexadecimal	0x971C1

Divisor Catalog (8)

1 3 5 15 41,263 123,789 206,315 618,945

Collatz Trajectory (141 steps to reach 1)

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

618,945 1,856,836 928,418 464,209 1,392,628 696,314 348,157 1,044,472 522,236 261,118 130,559 391,678 195,839 587,518 293,759 881,278 440,639 1,321,918 660,959 1,982,878 991,439 2,974,318 1,487,159 4,461,478 2,230,739 6,692,218 3,346,109 10,038,328 5,019,164 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926

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