λ
Harmonic Matrix

8,955,441

34 × 11 × 19 × 232
Deficient Odd Composite

8,955,441 has digital root 9. The neighboring primes are 8955439 and 8955449; its proper-divisor sum differs from the starting integer by -1,851,762.

Prime Factor Structure

Factorization String 3^4 × 11 × 19 × 23^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 16,059,120
Proper Divisor Sum 7,103,679
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8955439 ← → #8955449

Radix Representation

Decimal 8955441
Binary 100010001010011000110001 (24 bits)
Octal 0o42123061
Hexadecimal 0x88A631

Divisor Catalog (60)

1 3 9 11 19 23 27 33 57 69 81 99 171 207 209 253 297 437 513 529 621 627 759 891 1,311 1,539 1,587 1,863 1,881 2,277 3,933 4,761 4,807 5,643 5,819 6,831 10,051 11,799 14,283 14,421 16,929 17,457 20,493 30,153 35,397 42,849 43,263 52,371 90,459 110,561 129,789 157,113 271,377 331,683 389,367 471,339 814,131 995,049 2,985,147 8,955,441

Collatz Trajectory (62 steps to reach 1)

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

8,955,441 26,866,324 13,433,162 6,716,581 20,149,744 10,074,872 5,037,436 2,518,718 1,259,359 3,778,078 1,889,039 5,667,118 2,833,559 8,500,678 4,250,339 12,751,018 6,375,509 19,126,528 9,563,264 4,781,632 2,390,816 1,195,408 597,704 298,852 149,426 74,713 224,140 112,070 56,035 168,106 84,053 252,160 126,080 63,040 31,520 15,760 7,880 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8

More profiles

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