λ
Sequence Observatory

6,705,986

2 × 7 × 478999
Deficient Even Composite

Starting at 6,705,986, the Collatz iteration reaches 1 after 160 steps. The first transition is 3352993; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 478999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,496,000
Proper Divisor Sum 4,790,014
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6705977 ← → #6705997

Radix Representation

Decimal 6705986
Binary 11001100101001101000010 (23 bits)
Octal 0o31451502
Hexadecimal 0x665342

Divisor Catalog (8)

1 2 7 14 478,999 957,998 3,352,993 6,705,986

Collatz Trajectory (160 steps to reach 1)

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

6,705,986 3,352,993 10,058,980 5,029,490 2,514,745 7,544,236 3,772,118 1,886,059 5,658,178 2,829,089 8,487,268 4,243,634 2,121,817 6,365,452 3,182,726 1,591,363 4,774,090 2,387,045 7,161,136 3,580,568 1,790,284 895,142 447,571 1,342,714 671,357 2,014,072 1,007,036 503,518 251,759 755,278 377,639 1,132,918 566,459 1,699,378 849,689 2,549,068 1,274,534 637,267 1,911,802 955,901 2,867,704 1,433,852 716,926 358,463 1,075,390 537,695 1,613,086 806,543 2,419,630 1,209,815 3,629,446 1,814,723 5,444,170 2,722,085 8,166,256 4,083,128 2,041,564 1,020,782 510,391 1,531,174

More profiles

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