7,470,004

2² × 17 × 37 × 2969

7,470,004 has the prime decomposition 2^2 × 17 × 37 × 2969. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 2969

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,220,360

Proper Divisor Sum 6,750,356

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7469993 ← → #7470007

Radix Representation

Decimal	7470004
Binary	11100011111101110110100 (23 bits)
Octal	0o34375664
Hexadecimal	0x71FBB4

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 629 1,258 2,516 2,969 5,938 11,876 50,473 100,946 109,853 201,892 219,706 439,412 1,867,501 3,735,002 7,470,004

Collatz Trajectory (111 steps to reach 1)

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

7,470,004 3,735,002 1,867,501 5,602,504 2,801,252 1,400,626 700,313 2,100,940 1,050,470 525,235 1,575,706 787,853 2,363,560 1,181,780 590,890 295,445 886,336 443,168 221,584 110,792 55,396 27,698 13,849 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 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 1,171 3,514 1,757 5,272 2,636 1,318

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