λ
Sequence Observatory

7,166,408

23 × 895801
Deficient Even Composite

Starting at 7,166,408, the Collatz iteration reaches 1 after 103 steps. The first transition is 3583204; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 895801
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,437,030
Proper Divisor Sum 6,270,622
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7166407 ← → #7166413

Radix Representation

Decimal 7166408
Binary 11011010101100111001000 (23 bits)
Octal 0o33254710
Hexadecimal 0x6D59C8

Divisor Catalog (8)

1 2 4 8 895,801 1,791,602 3,583,204 7,166,408

Collatz Trajectory (103 steps to reach 1)

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

7,166,408 3,583,204 1,791,602 895,801 2,687,404 1,343,702 671,851 2,015,554 1,007,777 3,023,332 1,511,666 755,833 2,267,500 1,133,750 566,875 1,700,626 850,313 2,550,940 1,275,470 637,735 1,913,206 956,603 2,869,810 1,434,905 4,304,716 2,152,358 1,076,179 3,228,538 1,614,269 4,842,808 2,421,404 1,210,702 605,351 1,816,054 908,027 2,724,082 1,362,041 4,086,124 2,043,062 1,021,531 3,064,594 1,532,297 4,596,892 2,298,446 1,149,223 3,447,670 1,723,835 5,171,506 2,585,753 7,757,260 3,878,630 1,939,315 5,817,946 2,908,973 8,726,920 4,363,460 2,181,730 1,090,865 3,272,596 1,636,298

More profiles

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