629,457

3 × 209819

Starting at 629,457, the Collatz iteration reaches 1 after 247 steps. The first transition is 1888372; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 209819

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 839,280

Proper Divisor Sum 209,823

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #629449 ← → #629467

Radix Representation

Decimal	629457
Binary	10011001101011010001 (20 bits)
Octal	0o2315321
Hexadecimal	0x99AD1

Divisor Catalog (4)

1 3 209,819 629,457

Collatz Trajectory (247 steps to reach 1)

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

629,457 1,888,372 944,186 472,093 1,416,280 708,140 354,070 177,035 531,106 265,553 796,660 398,330 199,165 597,496 298,748 149,374 74,687 224,062 112,031 336,094 168,047 504,142 252,071 756,214 378,107 1,134,322 567,161 1,701,484 850,742 425,371 1,276,114 638,057 1,914,172 957,086 478,543 1,435,630 717,815 2,153,446 1,076,723 3,230,170 1,615,085 4,845,256 2,422,628 1,211,314 605,657 1,816,972 908,486 454,243 1,362,730 681,365 2,044,096 1,022,048 511,024 255,512 127,756 63,878 31,939 95,818 47,909 143,728

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