4,210,993

101 × 173 × 241

Starting at 4,210,993, the Collatz iteration reaches 1 after 128 steps. The first transition is 12632980; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 101 × 173 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,295,016

Proper Divisor Sum 84,023

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4210981 ← → #4211021

Radix Representation

Decimal	4210993
Binary	10000000100000100110001 (23 bits)
Octal	0o20040461
Hexadecimal	0x404131

Divisor Catalog (8)

1 101 173 241 17,473 24,341 41,693 4,210,993

Collatz Trajectory (128 steps to reach 1)

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

4,210,993 12,632,980 6,316,490 3,158,245 9,474,736 4,737,368 2,368,684 1,184,342 592,171 1,776,514 888,257 2,664,772 1,332,386 666,193 1,998,580 999,290 499,645 1,498,936 749,468 374,734 187,367 562,102 281,051 843,154 421,577 1,264,732 632,366 316,183 948,550 474,275 1,422,826 711,413 2,134,240 1,067,120 533,560 266,780 133,390 66,695 200,086 100,043 300,130 150,065 450,196 225,098 112,549 337,648 168,824 84,412 42,206 21,103 63,310 31,655 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258

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