λ
Sequence Observatory

4,210,595

5 × 191 × 4409
Deficient Odd Composite

Starting at 4,210,595, the Collatz iteration reaches 1 after 154 steps. The first transition is 12631786; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 191 × 4409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,080,320
Proper Divisor Sum 869,725
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4210579 ← → #4210601

Radix Representation

Decimal 4210595
Binary 10000000011111110100011 (23 bits)
Octal 0o20037643
Hexadecimal 0x403FA3

Divisor Catalog (8)

1 5 191 955 4,409 22,045 842,119 4,210,595

Collatz Trajectory (154 steps to reach 1)

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

4,210,595 12,631,786 6,315,893 18,947,680 9,473,840 4,736,920 2,368,460 1,184,230 592,115 1,776,346 888,173 2,664,520 1,332,260 666,130 333,065 999,196 499,598 249,799 749,398 374,699 1,124,098 562,049 1,686,148 843,074 421,537 1,264,612 632,306 316,153 948,460 474,230 237,115 711,346 355,673 1,067,020 533,510 266,755 800,266 400,133 1,200,400 600,200 300,100 150,050 75,025 225,076 112,538 56,269 168,808 84,404 42,202 21,101 63,304 31,652 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710

More profiles

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