λ
Sequence Observatory

6,009,952

25 × 13 × 14447
Abundant Even Composite

Starting at 6,009,952, the Collatz iteration reaches 1 after 90 steps. The first transition is 3004976; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 14447
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,743,136
Proper Divisor Sum 6,733,184
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6009929 ← → #6009961

Radix Representation

Decimal 6009952
Binary 10110111011010001100000 (23 bits)
Octal 0o26732140
Hexadecimal 0x5BB460

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 14,447 28,894 57,788 115,576 187,811 231,152 375,622 462,304 751,244 1,502,488 3,004,976 6,009,952

Collatz Trajectory (90 steps to reach 1)

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

6,009,952 3,004,976 1,502,488 751,244 375,622 187,811 563,434 281,717 845,152 422,576 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178

More profiles

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