87,575,120

2⁴ × 5 × 1094689

87,575,120 factors as 2^4 × 5 × 1094689. Its 20 positive divisors give a proper-divisor sum of 116,037,220, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 1094689

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 203,612,340

Proper Divisor Sum 116,037,220

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #87575087 ← → #87575141

Radix Representation

Decimal	87575120
Binary	101001110000100101001010000 (27 bits)
Octal	0o516045120
Hexadecimal	0x5384A50

Divisor Catalog (20)

Collatz Trajectory (112 steps to reach 1)

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

87,575,120 43,787,560 21,893,780 10,946,890 5,473,445 16,420,336 8,210,168 4,105,084 2,052,542 1,026,271 3,078,814 1,539,407 4,618,222 2,309,111 6,927,334 3,463,667 10,391,002 5,195,501 15,586,504 7,793,252 3,896,626 1,948,313 5,844,940 2,922,470 1,461,235 4,383,706 2,191,853 6,575,560 3,287,780 1,643,890 821,945 2,465,836 1,232,918 616,459 1,849,378 924,689 2,774,068 1,387,034 693,517 2,080,552 1,040,276 520,138 260,069 780,208 390,104 195,052 97,526 48,763 146,290 73,145 219,436 109,718 54,859 164,578 82,289 246,868 123,434 61,717 185,152 92,576

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