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Atlas › Integer Profiles › Node 87,290,540

87,290,540

22 × 5 × 131 × 33317
Abundant Even Composite

87,290,540 factors as 2^2 × 5 × 131 × 33317. Its 24 positive divisors give a proper-divisor sum of 97,424,452, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 131 × 33317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 184,714,992
Proper Divisor Sum 97,424,452
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87290531 ← → #87290627

Radix Representation

Decimal 87290540
Binary 101001100111111001010101100 (27 bits)
Octal 0o514771254
Hexadecimal 0x533F2AC

Divisor Catalog (24)

1 2 4 5 10 20 131 262 524 655 1,310 2,620 33,317 66,634 133,268 166,585 333,170 666,340 4,364,527 8,729,054 17,458,108 21,822,635 43,645,270 87,290,540

Collatz Trajectory (197 steps to reach 1)

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

87,290,540 43,645,270 21,822,635 65,467,906 32,733,953 98,201,860 49,100,930 24,550,465 73,651,396 36,825,698 18,412,849 55,238,548 27,619,274 13,809,637 41,428,912 20,714,456 10,357,228 5,178,614 2,589,307 7,767,922 3,883,961 11,651,884 5,825,942 2,912,971 8,738,914 4,369,457 13,108,372 6,554,186 3,277,093 9,831,280 4,915,640 2,457,820 1,228,910 614,455 1,843,366 921,683 2,765,050 1,382,525 4,147,576 2,073,788 1,036,894 518,447 1,555,342 777,671 2,333,014 1,166,507 3,499,522 1,749,761 5,249,284 2,624,642 1,312,321 3,936,964 1,968,482 984,241 2,952,724 1,476,362 738,181 2,214,544 1,107,272 553,636

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