λ
Sequence Observatory

6,597,877

11 × 13 × 29 × 37 × 43
Deficient Odd Composite

Starting at 6,597,877, the Collatz iteration reaches 1 after 240 steps. The first transition is 19793632; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 29 × 37 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,426,880
Proper Divisor Sum 1,829,003
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #6597859 ← → #6597889

Radix Representation

Decimal 6597877
Binary 11001001010110011110101 (23 bits)
Octal 0o31126365
Hexadecimal 0x64ACF5

Divisor Catalog (32)

1 11 13 29 37 43 143 319 377 407 473 481 559 1,073 1,247 1,591 4,147 5,291 6,149 11,803 13,717 13,949 16,211 17,501 20,683 46,139 153,439 178,321 227,513 507,529 599,807 6,597,877

Collatz Trajectory (240 steps to reach 1)

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

6,597,877 19,793,632 9,896,816 4,948,408 2,474,204 1,237,102 618,551 1,855,654 927,827 2,783,482 1,391,741 4,175,224 2,087,612 1,043,806 521,903 1,565,710 782,855 2,348,566 1,174,283 3,522,850 1,761,425 5,284,276 2,642,138 1,321,069 3,963,208 1,981,604 990,802 495,401 1,486,204 743,102 371,551 1,114,654 557,327 1,671,982 835,991 2,507,974 1,253,987 3,761,962 1,880,981 5,642,944 2,821,472 1,410,736 705,368 352,684 176,342 88,171 264,514 132,257 396,772 198,386 99,193 297,580 148,790 74,395 223,186 111,593 334,780 167,390 83,695 251,086

More profiles

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