4,210,591

7 × 11 × 149 × 367

4,210,591 factors as 7 × 11 × 149 × 367. Its 16 positive divisors give a proper-divisor sum of 1,088,609, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 7 × 11 × 149 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,299,200

Proper Divisor Sum 1,088,609

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4210579 ← → #4210601

Radix Representation

Decimal	4210591
Binary	10000000011111110011111 (23 bits)
Octal	0o20037637
Hexadecimal	0x403F9F

Divisor Catalog (16)

1 7 11 77 149 367 1,043 1,639 2,569 4,037 11,473 28,259 54,683 382,781 601,513 4,210,591

Collatz Trajectory (198 steps to reach 1)

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

4,210,591 12,631,774 6,315,887 18,947,662 9,473,831 28,421,494 14,210,747 42,632,242 21,316,121 63,948,364 31,974,182 15,987,091 47,961,274 23,980,637 71,941,912 35,970,956 17,985,478 8,992,739 26,978,218 13,489,109 40,467,328 20,233,664 10,116,832 5,058,416 2,529,208 1,264,604 632,302 316,151 948,454 474,227 1,422,682 711,341 2,134,024 1,067,012 533,506 266,753 800,260 400,130 200,065 600,196 300,098 150,049 450,148 225,074 112,537 337,612 168,806 84,403 253,210 126,605 379,816 189,908 94,954 47,477 142,432 71,216 35,608 17,804 8,902 4,451

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