λ
Harmonic Matrix

7,023,537

33 × 59 × 4409
Deficient Odd Composite

7,023,537 has digital root 9. The neighboring primes are 7023529 and 7023551; its proper-divisor sum differs from the starting integer by -3,463,074.

Prime Factor Structure

Factorization String 3^3 × 59 × 4409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,584,000
Proper Divisor Sum 3,560,463
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7023529 ← → #7023551

Radix Representation

Decimal 7023537
Binary 11010110010101110110001 (23 bits)
Octal 0o32625661
Hexadecimal 0x6B2BB1

Divisor Catalog (16)

1 3 9 27 59 177 531 1,593 4,409 13,227 39,681 119,043 260,131 780,393 2,341,179 7,023,537

Collatz Trajectory (191 steps to reach 1)

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

7,023,537 21,070,612 10,535,306 5,267,653 15,802,960 7,901,480 3,950,740 1,975,370 987,685 2,963,056 1,481,528 740,764 370,382 185,191 555,574 277,787 833,362 416,681 1,250,044 625,022 312,511 937,534 468,767 1,406,302 703,151 2,109,454 1,054,727 3,164,182 1,582,091 4,746,274 2,373,137 7,119,412 3,559,706 1,779,853 5,339,560 2,669,780 1,334,890 667,445 2,002,336 1,001,168 500,584 250,292 125,146 62,573 187,720 93,860 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298

More profiles

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