1,063,588

2² × 17 × 15641

Starting at 1,063,588, the Collatz iteration reaches 1 after 103 steps. The first transition is 531794; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 15641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,970,892

Proper Divisor Sum 907,304

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1063561 ← → #1063597

Radix Representation

Decimal	1063588
Binary	100000011101010100100 (21 bits)
Octal	0o4035244
Hexadecimal	0x103AA4

Divisor Catalog (12)

1 2 4 17 34 68 15,641 31,282 62,564 265,897 531,794 1,063,588

Collatz Trajectory (103 steps to reach 1)

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

1,063,588 531,794 265,897 797,692 398,846 199,423 598,270 299,135 897,406 448,703 1,346,110 673,055 2,019,166 1,009,583 3,028,750 1,514,375 4,543,126 2,271,563 6,814,690 3,407,345 10,222,036 5,111,018 2,555,509 7,666,528 3,833,264 1,916,632 958,316 479,158 239,579 718,738 359,369 1,078,108 539,054 269,527 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941 287,824 143,912 71,956 35,978 17,989 53,968 26,984 13,492 6,746

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