λ
Sigma Notebook

8,695,505

5 × 7 × 13 × 29 × 659
Deficient Odd Composite

8,695,505 is odd and not a perfect square. Its factorization is 5 × 7 × 13 × 29 × 659 and its 32 divisors sum to 13,305,600.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 29 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,305,600
Proper Divisor Sum 4,610,095
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8695501 ← → #8695513

Radix Representation

Decimal 8695505
Binary 100001001010111011010001 (24 bits)
Octal 0o41127321
Hexadecimal 0x84AED1

Divisor Catalog (32)

1 5 7 13 29 35 65 91 145 203 377 455 659 1,015 1,885 2,639 3,295 4,613 8,567 13,195 19,111 23,065 42,835 59,969 95,555 133,777 248,443 299,845 668,885 1,242,215 1,739,101 8,695,505

Collatz Trajectory (181 steps to reach 1)

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

8,695,505 26,086,516 13,043,258 6,521,629 19,564,888 9,782,444 4,891,222 2,445,611 7,336,834 3,668,417 11,005,252 5,502,626 2,751,313 8,253,940 4,126,970 2,063,485 6,190,456 3,095,228 1,547,614 773,807 2,321,422 1,160,711 3,482,134 1,741,067 5,223,202 2,611,601 7,834,804 3,917,402 1,958,701 5,876,104 2,938,052 1,469,026 734,513 2,203,540 1,101,770 550,885 1,652,656 826,328 413,164 206,582 103,291 309,874 154,937 464,812 232,406 116,203 348,610 174,305 522,916 261,458 130,729 392,188 196,094 98,047 294,142 147,071 441,214 220,607 661,822 330,911

More profiles

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