λ
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Atlas › Integer Profiles › Node 8,971,242

8,971,242

2 × 3 × 7 × 23 × 37 × 251
Abundant Even Composite

8,971,242 factors as 2 × 3 × 7 × 23 × 37 × 251. Its 64 positive divisors give a proper-divisor sum of 13,091,862, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 37 × 251
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,063,104
Proper Divisor Sum 13,091,862
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8971241 ← → #8971243

Radix Representation

Decimal 8971242
Binary 100010001110001111101010 (24 bits)
Octal 0o42161752
Hexadecimal 0x88E3EA

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 251 259 322 483 502 518 753 777 851 966 1,506 1,554 1,702 1,757 2,553 3,514 5,106 5,271 5,773 5,957 9,287 10,542 11,546 11,914 17,319 17,871 18,574 27,861 34,638 35,742 40,411 55,722 65,009 80,822 121,233 130,018 195,027 213,601 242,466 390,054 427,202 640,803 1,281,606

Collatz Trajectory (225 steps to reach 1)

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

8,971,242 4,485,621 13,456,864 6,728,432 3,364,216 1,682,108 841,054 420,527 1,261,582 630,791 1,892,374 946,187 2,838,562 1,419,281 4,257,844 2,128,922 1,064,461 3,193,384 1,596,692 798,346 399,173 1,197,520 598,760 299,380 149,690 74,845 224,536 112,268 56,134 28,067 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583

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