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Atlas › Integer Profiles › Node 30,487,528

30,487,528

23 × 17 × 373 × 601
Deficient Even Composite

30,487,528 factors as 2^3 × 17 × 373 × 601. Its 32 positive divisors give a proper-divisor sum of 30,302,432, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 373 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,789,960
Proper Divisor Sum 30,302,432
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #30487487 ← → #30487531

Radix Representation

Decimal 30487528
Binary 1110100010011001111101000 (25 bits)
Octal 0o164231750
Hexadecimal 0x1D133E8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 373 601 746 1,202 1,492 2,404 2,984 4,808 6,341 10,217 12,682 20,434 25,364 40,868 50,728 81,736 224,173 448,346 896,692 1,793,384 3,810,941 7,621,882 15,243,764 30,487,528

Collatz Trajectory (157 steps to reach 1)

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

30,487,528 15,243,764 7,621,882 3,810,941 11,432,824 5,716,412 2,858,206 1,429,103 4,287,310 2,143,655 6,430,966 3,215,483 9,646,450 4,823,225 14,469,676 7,234,838 3,617,419 10,852,258 5,426,129 16,278,388 8,139,194 4,069,597 12,208,792 6,104,396 3,052,198 1,526,099 4,578,298 2,289,149 6,867,448 3,433,724 1,716,862 858,431 2,575,294 1,287,647 3,862,942 1,931,471 5,794,414 2,897,207 8,691,622 4,345,811 13,037,434 6,518,717 19,556,152 9,778,076 4,889,038 2,444,519 7,333,558 3,666,779 11,000,338 5,500,169 16,500,508 8,250,254 4,125,127 12,375,382 6,187,691 18,563,074 9,281,537 27,844,612 13,922,306 6,961,153

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