λ
Sigma Notebook

8,689,407

3 × 47 × 61627
Deficient Odd Composite

8,689,407 is odd and not a perfect square. Its factorization is 3 × 47 × 61627 and its 8 divisors sum to 11,832,576.

Prime Factor Structure

Factorization String 3 × 47 × 61627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,832,576
Proper Divisor Sum 3,143,169
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8689399 ← → #8689433

Radix Representation

Decimal 8689407
Binary 100001001001011011111111 (24 bits)
Octal 0o41113377
Hexadecimal 0x8496FF

Divisor Catalog (8)

1 3 47 141 61,627 184,881 2,896,469 8,689,407

Collatz Trajectory (181 steps to reach 1)

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

8,689,407 26,068,222 13,034,111 39,102,334 19,551,167 58,653,502 29,326,751 87,980,254 43,990,127 131,970,382 65,985,191 197,955,574 98,977,787 296,933,362 148,466,681 445,400,044 222,700,022 111,350,011 334,050,034 167,025,017 501,075,052 250,537,526 125,268,763 375,806,290 187,903,145 563,709,436 281,854,718 140,927,359 422,782,078 211,391,039 634,173,118 317,086,559 951,259,678 475,629,839 1,426,889,518 713,444,759 2,140,334,278 1,070,167,139 3,210,501,418 1,605,250,709 4,815,752,128 2,407,876,064 1,203,938,032 601,969,016 300,984,508 150,492,254 75,246,127 225,738,382 112,869,191 338,607,574 169,303,787 507,911,362 253,955,681 761,867,044 380,933,522 190,466,761 571,400,284 285,700,142 142,850,071 428,550,214

More profiles

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