87,829,100

2² × 5² × 878291

87,829,100 factors as 2^2 × 5^2 × 878291. Its 18 positive divisors give a proper-divisor sum of 102,760,264, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 878291

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 190,589,364

Proper Divisor Sum 102,760,264

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #87829073 ← → #87829129

Radix Representation

Decimal	87829100
Binary	101001111000010101001101100 (27 bits)
Octal	0o517025154
Hexadecimal	0x53C2A6C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 878,291 1,756,582 3,513,164 4,391,455 8,782,910 17,565,820 21,957,275 43,914,550 87,829,100

Collatz Trajectory (174 steps to reach 1)

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

87,829,100 43,914,550 21,957,275 65,871,826 32,935,913 98,807,740 49,403,870 24,701,935 74,105,806 37,052,903 111,158,710 55,579,355 166,738,066 83,369,033 250,107,100 125,053,550 62,526,775 187,580,326 93,790,163 281,370,490 140,685,245 422,055,736 211,027,868 105,513,934 52,756,967 158,270,902 79,135,451 237,406,354 118,703,177 356,109,532 178,054,766 89,027,383 267,082,150 133,541,075 400,623,226 200,311,613 600,934,840 300,467,420 150,233,710 75,116,855 225,350,566 112,675,283 338,025,850 169,012,925 507,038,776 253,519,388 126,759,694 63,379,847 190,139,542 95,069,771 285,209,314 142,604,657 427,813,972 213,906,986 106,953,493 320,860,480 160,430,240 80,215,120 40,107,560 20,053,780

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