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Atlas › Integer Profiles › Node 30,458,080

30,458,080

25 × 5 × 41 × 4643
Abundant Even Composite

30,458,080 factors as 2^5 × 5 × 41 × 4643. Its 48 positive divisors give a proper-divisor sum of 43,270,064, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 4643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 73,728,144
Proper Divisor Sum 43,270,064
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #30458069 ← → #30458081

Radix Representation

Decimal 30458080
Binary 1110100001100000011100000 (25 bits)
Octal 0o164140340
Hexadecimal 0x1D0C0E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1,312 1,640 3,280 4,643 6,560 9,286 18,572 23,215 37,144 46,430 74,288 92,860 148,576 185,720 190,363 371,440 380,726 742,880 761,452 951,815 1,522,904 1,903,630 3,045,808 3,807,260 6,091,616 7,614,520 15,229,040 30,458,080

Collatz Trajectory (175 steps to reach 1)

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

30,458,080 15,229,040 7,614,520 3,807,260 1,903,630 951,815 2,855,446 1,427,723 4,283,170 2,141,585 6,424,756 3,212,378 1,606,189 4,818,568 2,409,284 1,204,642 602,321 1,806,964 903,482 451,741 1,355,224 677,612 338,806 169,403 508,210 254,105 762,316 381,158 190,579 571,738 285,869 857,608 428,804 214,402 107,201 321,604 160,802 80,401 241,204 120,602 60,301 180,904 90,452 45,226 22,613 67,840 33,920 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898

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