λ
Sequence Observatory

6,696,753

3 × 7 × 347 × 919
Deficient Odd Composite

Starting at 6,696,753, the Collatz iteration reaches 1 after 160 steps. The first transition is 20090260; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 347 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,245,120
Proper Divisor Sum 3,548,367
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6696743 ← → #6696757

Radix Representation

Decimal 6696753
Binary 11001100010111100110001 (23 bits)
Octal 0o31427461
Hexadecimal 0x662F31

Divisor Catalog (16)

1 3 7 21 347 919 1,041 2,429 2,757 6,433 7,287 19,299 318,893 956,679 2,232,251 6,696,753

Collatz Trajectory (160 steps to reach 1)

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

6,696,753 20,090,260 10,045,130 5,022,565 15,067,696 7,533,848 3,766,924 1,883,462 941,731 2,825,194 1,412,597 4,237,792 2,118,896 1,059,448 529,724 264,862 132,431 397,294 198,647 595,942 297,971 893,914 446,957 1,340,872 670,436 335,218 167,609 502,828 251,414 125,707 377,122 188,561 565,684 282,842 141,421 424,264 212,132 106,066 53,033 159,100 79,550 39,775 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478

More profiles

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