2,213,612

2² × 23 × 24061

2,213,612 factors as 2^2 × 23 × 24061. Its 12 positive divisors give a proper-divisor sum of 1,828,804, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 24061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,042,416

Proper Divisor Sum 1,828,804

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2213609 ← → #2213623

Radix Representation

Decimal	2213612
Binary	1000011100011011101100 (22 bits)
Octal	0o10343354
Hexadecimal	0x21C6EC

Divisor Catalog (12)

1 2 4 23 46 92 24,061 48,122 96,244 553,403 1,106,806 2,213,612

Collatz Trajectory (117 steps to reach 1)

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

2,213,612 1,106,806 553,403 1,660,210 830,105 2,490,316 1,245,158 622,579 1,867,738 933,869 2,801,608 1,400,804 700,402 350,201 1,050,604 525,302 262,651 787,954 393,977 1,181,932 590,966 295,483 886,450 443,225 1,329,676 664,838 332,419 997,258 498,629 1,495,888 747,944 373,972 186,986 93,493 280,480 140,240 70,120 35,060 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342

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