846,629

7 × 120947

Starting at 846,629, the Collatz iteration reaches 1 after 56 steps. The first transition is 2539888; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 120947

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 967,584

Proper Divisor Sum 120,955

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #846589 ← → #846647

Radix Representation

Decimal	846629
Binary	11001110101100100101 (20 bits)
Octal	0o3165445
Hexadecimal	0xCEB25

Divisor Catalog (4)

1 7 120,947 846,629

Collatz Trajectory (56 steps to reach 1)

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

846,629 2,539,888 1,269,944 634,972 317,486 158,743 476,230 238,115 714,346 357,173 1,071,520 535,760 267,880 133,940 66,970 33,485 100,456 50,228 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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