6,465,877

11² × 53437

Starting at 6,465,877, the Collatz iteration reaches 1 after 240 steps. The first transition is 19397632; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 53437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,107,254

Proper Divisor Sum 641,377

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6465859 ← → #6465883

Radix Representation

Decimal	6465877
Binary	11000101010100101010101 (23 bits)
Octal	0o30524525
Hexadecimal	0x62A955

Divisor Catalog (6)

1 11 121 53,437 587,807 6,465,877

Collatz Trajectory (240 steps to reach 1)

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

6,465,877 19,397,632 9,698,816 4,849,408 2,424,704 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203 1,638,610 819,305 2,457,916 1,228,958 614,479 1,843,438 921,719 2,765,158 1,382,579 4,147,738 2,073,869 6,221,608 3,110,804 1,555,402 777,701 2,333,104 1,166,552 583,276 291,638 145,819 437,458 218,729 656,188 328,094 164,047 492,142 246,071

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