7,132,004

2² × 11 × 162091

For 7,132,004, the 12 positive divisors have a total of 13,615,728. Removing 7,132,004 leaves 6,483,724, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 11 × 162091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,615,728

Proper Divisor Sum 6,483,724

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7131989 ← → #7132019

Radix Representation

Decimal	7132004
Binary	11011001101001101100100 (23 bits)
Octal	0o33151544
Hexadecimal	0x6CD364

Divisor Catalog (12)

1 2 4 11 22 44 162,091 324,182 648,364 1,783,001 3,566,002 7,132,004

Collatz Trajectory (191 steps to reach 1)

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

7,132,004 3,566,002 1,783,001 5,349,004 2,674,502 1,337,251 4,011,754 2,005,877 6,017,632 3,008,816 1,504,408 752,204 376,102 188,051 564,154 282,077 846,232 423,116 211,558 105,779 317,338 158,669 476,008 238,004 119,002 59,501 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541

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