λ
Sequence Observatory

5,736,645

32 × 5 × 127481
Deficient Odd Composite

Starting at 5,736,645, the Collatz iteration reaches 1 after 201 steps. The first transition is 17209936; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 127481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,943,596
Proper Divisor Sum 4,206,951
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5736611 ← → #5736659

Radix Representation

Decimal 5736645
Binary 10101111000100011000101 (23 bits)
Octal 0o25704305
Hexadecimal 0x5788C5

Divisor Catalog (12)

1 3 5 9 15 45 127,481 382,443 637,405 1,147,329 1,912,215 5,736,645

Collatz Trajectory (201 steps to reach 1)

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

5,736,645 17,209,936 8,604,968 4,302,484 2,151,242 1,075,621 3,226,864 1,613,432 806,716 403,358 201,679 605,038 302,519 907,558 453,779 1,361,338 680,669 2,042,008 1,021,004 510,502 255,251 765,754 382,877 1,148,632 574,316 287,158 143,579 430,738 215,369 646,108 323,054 161,527 484,582 242,291 726,874 363,437 1,090,312 545,156 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386

More profiles

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