λ
Harmonic Matrix

8,736,047

29 × 301243
Deficient Odd Composite

8,736,047 has digital root 8. The neighboring primes are 8736041 and 8736059; its proper-divisor sum differs from the starting integer by -8,434,774.

Prime Factor Structure

Factorization String 29 × 301243
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,037,320
Proper Divisor Sum 301,273
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8736041 ← → #8736059

Radix Representation

Decimal 8736047
Binary 100001010100110100101111 (24 bits)
Octal 0o41246457
Hexadecimal 0x854D2F

Divisor Catalog (4)

1 29 301,243 8,736,047

Collatz Trajectory (199 steps to reach 1)

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

8,736,047 26,208,142 13,104,071 39,312,214 19,656,107 58,968,322 29,484,161 88,452,484 44,226,242 22,113,121 66,339,364 33,169,682 16,584,841 49,754,524 24,877,262 12,438,631 37,315,894 18,657,947 55,973,842 27,986,921 83,960,764 41,980,382 20,990,191 62,970,574 31,485,287 94,455,862 47,227,931 141,683,794 70,841,897 212,525,692 106,262,846 53,131,423 159,394,270 79,697,135 239,091,406 119,545,703 358,637,110 179,318,555 537,955,666 268,977,833 806,933,500 403,466,750 201,733,375 605,200,126 302,600,063 907,800,190 453,900,095 1,361,700,286 680,850,143 2,042,550,430 1,021,275,215 3,063,825,646 1,531,912,823 4,595,738,470 2,297,869,235 6,893,607,706 3,446,803,853 10,340,411,560 5,170,205,780 2,585,102,890

More profiles

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