7,212,004

2² × 1803001

For 7,212,004, the 6 positive divisors have a total of 12,621,014. Removing 7,212,004 leaves 5,409,010, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 1803001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,621,014

Proper Divisor Sum 5,409,010

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #7211993 ← → #7212011

Radix Representation

Decimal	7212004
Binary	11011100000101111100100 (23 bits)
Octal	0o33405744
Hexadecimal	0x6E0BE4

Divisor Catalog (6)

1 2 4 1,803,001 3,606,002 7,212,004

Collatz Trajectory (67 steps to reach 1)

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

7,212,004 3,606,002 1,803,001 5,409,004 2,704,502 1,352,251 4,056,754 2,028,377 6,085,132 3,042,566 1,521,283 4,563,850 2,281,925 6,845,776 3,422,888 1,711,444 855,722 427,861 1,283,584 641,792 320,896 160,448 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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