λ
Harmonic Matrix

8,654,721

3 × 47 × 61381
Deficient Odd Composite

8,654,721 has digital root 6. The neighboring primes are 8654713 and 8654729; its proper-divisor sum differs from the starting integer by -5,524,098.

Prime Factor Structure

Factorization String 3 × 47 × 61381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,785,344
Proper Divisor Sum 3,130,623
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8654713 ← → #8654729

Radix Representation

Decimal 8654721
Binary 100001000000111110000001 (24 bits)
Octal 0o41007601
Hexadecimal 0x840F81

Divisor Catalog (8)

1 3 47 141 61,381 184,143 2,884,907 8,654,721

Collatz Trajectory (119 steps to reach 1)

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

8,654,721 25,964,164 12,982,082 6,491,041 19,473,124 9,736,562 4,868,281 14,604,844 7,302,422 3,651,211 10,953,634 5,476,817 16,430,452 8,215,226 4,107,613 12,322,840 6,161,420 3,080,710 1,540,355 4,621,066 2,310,533 6,931,600 3,465,800 1,732,900 866,450 433,225 1,299,676 649,838 324,919 974,758 487,379 1,462,138 731,069 2,193,208 1,096,604 548,302 274,151 822,454 411,227 1,233,682 616,841 1,850,524 925,262 462,631 1,387,894 693,947 2,081,842 1,040,921 3,122,764 1,561,382 780,691 2,342,074 1,171,037 3,513,112 1,756,556 878,278 439,139 1,317,418 658,709 1,976,128

More profiles

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