λ
Harmonic Matrix

7,136,004

22 × 3 × 594667
Abundant Even Composite

7,136,004 has digital root 3. The neighboring primes are 7135967 and 7136021; its proper-divisor sum differs from the starting integer by 2,378,696.

Prime Factor Structure

Factorization String 2^2 × 3 × 594667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,650,704
Proper Divisor Sum 9,514,700
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7135967 ← → #7136021

Radix Representation

Decimal 7136004
Binary 11011001110001100000100 (23 bits)
Octal 0o33161404
Hexadecimal 0x6CE304

Divisor Catalog (12)

1 2 3 4 6 12 594,667 1,189,334 1,784,001 2,378,668 3,568,002 7,136,004

Collatz Trajectory (160 steps to reach 1)

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

7,136,004 3,568,002 1,784,001 5,352,004 2,676,002 1,338,001 4,014,004 2,007,002 1,003,501 3,010,504 1,505,252 752,626 376,313 1,128,940 564,470 282,235 846,706 423,353 1,270,060 635,030 317,515 952,546 476,273 1,428,820 714,410 357,205 1,071,616 535,808 267,904 133,952 66,976 33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214

More profiles

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