7,201,612

2² × 11 × 163673

7,201,612 factors as 2^2 × 11 × 163673. Its 12 positive divisors give a proper-divisor sum of 6,547,004, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 163673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,748,616

Proper Divisor Sum 6,547,004

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7201583 ← → #7201619

Radix Representation

Decimal	7201612
Binary	11011011110001101001100 (23 bits)
Octal	0o33361514
Hexadecimal	0x6DE34C

Divisor Catalog (12)

1 2 4 11 22 44 163,673 327,346 654,692 1,800,403 3,600,806 7,201,612

Collatz Trajectory (90 steps to reach 1)

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

7,201,612 3,600,806 1,800,403 5,401,210 2,700,605 8,101,816 4,050,908 2,025,454 1,012,727 3,038,182 1,519,091 4,557,274 2,278,637 6,835,912 3,417,956 1,708,978 854,489 2,563,468 1,281,734 640,867 1,922,602 961,301 2,883,904 1,441,952 720,976 360,488 180,244 90,122 45,061 135,184 67,592 33,796 16,898 8,449 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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