λ
Sequence Observatory

2,978,544

24 × 3 × 62053
Abundant Even Composite

Starting at 2,978,544, the Collatz iteration reaches 1 after 182 steps. The first transition is 1489272; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 62053
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,694,696
Proper Divisor Sum 4,716,152
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2978543 ← → #2978551

Radix Representation

Decimal 2978544
Binary 1011010111001011110000 (22 bits)
Octal 0o13271360
Hexadecimal 0x2D72F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 62,053 124,106 186,159 248,212 372,318 496,424 744,636 992,848 1,489,272 2,978,544

Collatz Trajectory (182 steps to reach 1)

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

2,978,544 1,489,272 744,636 372,318 186,159 558,478 279,239 837,718 418,859 1,256,578 628,289 1,884,868 942,434 471,217 1,413,652 706,826 353,413 1,060,240 530,120 265,060 132,530 66,265 198,796 99,398 49,699 149,098 74,549 223,648 111,824 55,912 27,956 13,978 6,989 20,968 10,484 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

More profiles

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