λ
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Atlas › Integer Profiles › Node 30,802,480

30,802,480

24 × 5 × 41 × 9391
Abundant Even Composite

30,802,480 factors as 2^4 × 5 × 41 × 9391. Its 40 positive divisors give a proper-divisor sum of 42,567,824, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 9391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 73,370,304
Proper Divisor Sum 42,567,824
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #30802433 ← → #30802481

Radix Representation

Decimal 30802480
Binary 1110101100000001000110000 (25 bits)
Octal 0o165401060
Hexadecimal 0x1D60230

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,640 3,280 9,391 18,782 37,564 46,955 75,128 93,910 150,256 187,820 375,640 385,031 751,280 770,062 1,540,124 1,925,155 3,080,248 3,850,310 6,160,496 7,700,620 15,401,240 30,802,480

Collatz Trajectory (113 steps to reach 1)

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

30,802,480 15,401,240 7,700,620 3,850,310 1,925,155 5,775,466 2,887,733 8,663,200 4,331,600 2,165,800 1,082,900 541,450 270,725 812,176 406,088 203,044 101,522 50,761 152,284 76,142 38,071 114,214 57,107 171,322 85,661 256,984 128,492 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428

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