λ
Sequence Observatory

5,351,988

22 × 3 × 653 × 683
Abundant Even Composite

Starting at 5,351,988, the Collatz iteration reaches 1 after 69 steps. The first transition is 2675994; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 653 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,525,408
Proper Divisor Sum 7,173,420
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5351971 ← → #5352001

Radix Representation

Decimal 5351988
Binary 10100011010101000110100 (23 bits)
Octal 0o24325064
Hexadecimal 0x51AA34

Divisor Catalog (24)

1 2 3 4 6 12 653 683 1,306 1,366 1,959 2,049 2,612 2,732 3,918 4,098 7,836 8,196 445,999 891,998 1,337,997 1,783,996 2,675,994 5,351,988

Collatz Trajectory (69 steps to reach 1)

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

5,351,988 2,675,994 1,337,997 4,013,992 2,006,996 1,003,498 501,749 1,505,248 752,624 376,312 188,156 94,078 47,039 141,118 70,559 211,678 105,839 317,518 158,759 476,278 238,139 714,418 357,209 1,071,628 535,814 267,907 803,722 401,861 1,205,584 602,792 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160

More profiles

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