629,536

2⁵ × 103 × 191

Starting at 629,536, the Collatz iteration reaches 1 after 110 steps. The first transition is 314768; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 103 × 191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,257,984

Proper Divisor Sum 628,448

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #629513 ← → #629537

Radix Representation

Decimal	629536
Binary	10011001101100100000 (20 bits)
Octal	0o2315440
Hexadecimal	0x99B20

Divisor Catalog (24)

1 2 4 8 16 32 103 191 206 382 412 764 824 1,528 1,648 3,056 3,296 6,112 19,673 39,346 78,692 157,384 314,768 629,536

Collatz Trajectory (110 steps to reach 1)

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

629,536 314,768 157,384 78,692 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989

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