λ
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Atlas › Integer Profiles › Node 87,282,990

87,282,990

2 × 32 × 5 × 859 × 1129
Abundant Even Composite

87,282,990 factors as 2 × 3^2 × 5 × 859 × 1129. Its 48 positive divisors give a proper-divisor sum of 140,118,210, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 859 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 227,401,200
Proper Divisor Sum 140,118,210
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #87282971 ← → #87283013

Radix Representation

Decimal 87282990
Binary 101001100111101010100101110 (27 bits)
Octal 0o514752456
Hexadecimal 0x533D52E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 859 1,129 1,718 2,258 2,577 3,387 4,295 5,154 5,645 6,774 7,731 8,590 10,161 11,290 12,885 15,462 16,935 20,322 25,770 33,870 38,655 50,805 77,310 101,610 969,811 1,939,622 2,909,433 4,849,055 5,818,866 8,728,299 9,698,110 14,547,165 17,456,598 29,094,330 43,641,495 87,282,990

Collatz Trajectory (205 steps to reach 1)

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

87,282,990 43,641,495 130,924,486 65,462,243 196,386,730 98,193,365 294,580,096 147,290,048 73,645,024 36,822,512 18,411,256 9,205,628 4,602,814 2,301,407 6,904,222 3,452,111 10,356,334 5,178,167 15,534,502 7,767,251 23,301,754 11,650,877 34,952,632 17,476,316 8,738,158 4,369,079 13,107,238 6,553,619 19,660,858 9,830,429 29,491,288 14,745,644 7,372,822 3,686,411 11,059,234 5,529,617 16,588,852 8,294,426 4,147,213 12,441,640 6,220,820 3,110,410 1,555,205 4,665,616 2,332,808 1,166,404 583,202 291,601 874,804 437,402 218,701 656,104 328,052 164,026 82,013 246,040 123,020 61,510 30,755 92,266

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