6,405,135

3 × 5 × 11² × 3529

Starting at 6,405,135, the Collatz iteration reaches 1 after 178 steps. The first transition is 19215406; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 3529

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,267,760

Proper Divisor Sum 4,862,625

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6405131 ← → #6405137

Radix Representation

Decimal	6405135
Binary	11000011011110000001111 (23 bits)
Octal	0o30336017
Hexadecimal	0x61BC0F

Divisor Catalog (24)

1 3 5 11 15 33 55 121 165 363 605 1,815 3,529 10,587 17,645 38,819 52,935 116,457 194,095 427,009 582,285 1,281,027 2,135,045 6,405,135

Collatz Trajectory (178 steps to reach 1)

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

6,405,135 19,215,406 9,607,703 28,823,110 14,411,555 43,234,666 21,617,333 64,852,000 32,426,000 16,213,000 8,106,500 4,053,250 2,026,625 6,079,876 3,039,938 1,519,969 4,559,908 2,279,954 1,139,977 3,419,932 1,709,966 854,983 2,564,950 1,282,475 3,847,426 1,923,713 5,771,140 2,885,570 1,442,785 4,328,356 2,164,178 1,082,089 3,246,268 1,623,134 811,567 2,434,702 1,217,351 3,652,054 1,826,027 5,478,082 2,739,041 8,217,124 4,108,562 2,054,281 6,162,844 3,081,422 1,540,711 4,622,134 2,311,067 6,933,202 3,466,601 10,399,804 5,199,902 2,599,951 7,799,854 3,899,927 11,699,782 5,849,891 17,549,674 8,774,837

← Previous Integer #6,405,134 Browse Full Index Next Integer #6,405,136 →