λ
Sigma Notebook

6,475,689

32 × 11 × 149 × 439
Deficient Odd Composite

6,475,689 is odd and not a perfect square. Its factorization is 3^2 × 11 × 149 × 439 and its 24 divisors sum to 10,296,000.

Prime Factor Structure

Factorization String 3^2 × 11 × 149 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,296,000
Proper Divisor Sum 3,820,311
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6475687 ← → #6475717

Radix Representation

Decimal 6475689
Binary 11000101100111110101001 (23 bits)
Octal 0o30547651
Hexadecimal 0x62CFA9

Divisor Catalog (24)

1 3 9 11 33 99 149 439 447 1,317 1,341 1,639 3,951 4,829 4,917 14,487 14,751 43,461 65,411 196,233 588,699 719,521 2,158,563 6,475,689

Collatz Trajectory (209 steps to reach 1)

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

6,475,689 19,427,068 9,713,534 4,856,767 14,570,302 7,285,151 21,855,454 10,927,727 32,783,182 16,391,591 49,174,774 24,587,387 73,762,162 36,881,081 110,643,244 55,321,622 27,660,811 82,982,434 41,491,217 124,473,652 62,236,826 31,118,413 93,355,240 46,677,620 23,338,810 11,669,405 35,008,216 17,504,108 8,752,054 4,376,027 13,128,082 6,564,041 19,692,124 9,846,062 4,923,031 14,769,094 7,384,547 22,153,642 11,076,821 33,230,464 16,615,232 8,307,616 4,153,808 2,076,904 1,038,452 519,226 259,613 778,840 389,420 194,710 97,355 292,066 146,033 438,100 219,050 109,525 328,576 164,288 82,144 41,072

More profiles

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