2,210,697

3² × 17 × 14449

2,210,697 factors as 3^2 × 17 × 14449. Its 12 positive divisors give a proper-divisor sum of 1,170,603, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 14449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,381,300

Proper Divisor Sum 1,170,603

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2210653 ← → #2210723

Radix Representation

Decimal	2210697
Binary	1000011011101110001001 (22 bits)
Octal	0o10335611
Hexadecimal	0x21BB89

Divisor Catalog (12)

1 3 9 17 51 153 14,449 43,347 130,041 245,633 736,899 2,210,697

Collatz Trajectory (148 steps to reach 1)

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

2,210,697 6,632,092 3,316,046 1,658,023 4,974,070 2,487,035 7,461,106 3,730,553 11,191,660 5,595,830 2,797,915 8,393,746 4,196,873 12,590,620 6,295,310 3,147,655 9,442,966 4,721,483 14,164,450 7,082,225 21,246,676 10,623,338 5,311,669 15,935,008 7,967,504 3,983,752 1,991,876 995,938 497,969 1,493,908 746,954 373,477 1,120,432 560,216 280,108 140,054 70,027 210,082 105,041 315,124 157,562 78,781 236,344 118,172 59,086 29,543 88,630 44,315 132,946 66,473 199,420 99,710 49,855 149,566 74,783 224,350 112,175 336,526 168,263 504,790

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