λ
Harmonic Matrix

8,743,017

3 × 653 × 4463
Deficient Odd Composite

8,743,017 has digital root 3. The neighboring primes are 8743001 and 8743019; its proper-divisor sum differs from the starting integer by -5,808,210.

Prime Factor Structure

Factorization String 3 × 653 × 4463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,677,824
Proper Divisor Sum 2,934,807
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8743001 ← → #8743019

Radix Representation

Decimal 8743017
Binary 100001010110100001101001 (24 bits)
Octal 0o41264151
Hexadecimal 0x856869

Divisor Catalog (8)

1 3 653 1,959 4,463 13,389 2,914,339 8,743,017

Collatz Trajectory (212 steps to reach 1)

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

8,743,017 26,229,052 13,114,526 6,557,263 19,671,790 9,835,895 29,507,686 14,753,843 44,261,530 22,130,765 66,392,296 33,196,148 16,598,074 8,299,037 24,897,112 12,448,556 6,224,278 3,112,139 9,336,418 4,668,209 14,004,628 7,002,314 3,501,157 10,503,472 5,251,736 2,625,868 1,312,934 656,467 1,969,402 984,701 2,954,104 1,477,052 738,526 369,263 1,107,790 553,895 1,661,686 830,843 2,492,530 1,246,265 3,738,796 1,869,398 934,699 2,804,098 1,402,049 4,206,148 2,103,074 1,051,537 3,154,612 1,577,306 788,653 2,365,960 1,182,980 591,490 295,745 887,236 443,618 221,809 665,428 332,714

More profiles

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