λ
Sequence Observatory

5,449,724

22 × 7 × 17 × 1072
Abundant Even Composite

Starting at 5,449,724, the Collatz iteration reaches 1 after 245 steps. The first transition is 2724862; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 107^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,649,456
Proper Divisor Sum 6,199,732
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5449721 ← → #5449727

Radix Representation

Decimal 5449724
Binary 10100110010011111111100 (23 bits)
Octal 0o24623774
Hexadecimal 0x5327FC

Divisor Catalog (36)

1 2 4 7 14 17 28 34 68 107 119 214 238 428 476 749 1,498 1,819 2,996 3,638 7,276 11,449 12,733 22,898 25,466 45,796 50,932 80,143 160,286 194,633 320,572 389,266 778,532 1,362,431 2,724,862 5,449,724

Collatz Trajectory (245 steps to reach 1)

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

5,449,724 2,724,862 1,362,431 4,087,294 2,043,647 6,130,942 3,065,471 9,196,414 4,598,207 13,794,622 6,897,311 20,691,934 10,345,967 31,037,902 15,518,951 46,556,854 23,278,427 69,835,282 34,917,641 104,752,924 52,376,462 26,188,231 78,564,694 39,282,347 117,847,042 58,923,521 176,770,564 88,385,282 44,192,641 132,577,924 66,288,962 33,144,481 99,433,444 49,716,722 24,858,361 74,575,084 37,287,542 18,643,771 55,931,314 27,965,657 83,896,972 41,948,486 20,974,243 62,922,730 31,461,365 94,384,096 47,192,048 23,596,024 11,798,012 5,899,006 2,949,503 8,848,510 4,424,255 13,272,766 6,636,383 19,909,150 9,954,575 29,863,726 14,931,863 44,795,590

More profiles

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