λ
Sigma Notebook

6,404,865

3 × 5 × 67 × 6373
Deficient Odd Composite

6,404,865 is odd and not a perfect square. Its factorization is 3 × 5 × 67 × 6373 and its 16 divisors sum to 10,402,368.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 6373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,402,368
Proper Divisor Sum 3,997,503
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6404837 ← → #6404873

Radix Representation

Decimal 6404865
Binary 11000011011101100000001 (23 bits)
Octal 0o30335401
Hexadecimal 0x61BB01

Divisor Catalog (16)

1 3 5 15 67 201 335 1,005 6,373 19,119 31,865 95,595 426,991 1,280,973 2,134,955 6,404,865

Collatz Trajectory (240 steps to reach 1)

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

6,404,865 19,214,596 9,607,298 4,803,649 14,410,948 7,205,474 3,602,737 10,808,212 5,404,106 2,702,053 8,106,160 4,053,080 2,026,540 1,013,270 506,635 1,519,906 759,953 2,279,860 1,139,930 569,965 1,709,896 854,948 427,474 213,737 641,212 320,606 160,303 480,910 240,455 721,366 360,683 1,082,050 541,025 1,623,076 811,538 405,769 1,217,308 608,654 304,327 912,982 456,491 1,369,474 684,737 2,054,212 1,027,106 513,553 1,540,660 770,330 385,165 1,155,496 577,748 288,874 144,437 433,312 216,656 108,328 54,164 27,082 13,541 40,624

More profiles

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