λ
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Atlas › Integer Profiles › Node 30,102,430

30,102,430

2 × 5 × 67 × 179 × 251
Deficient Even Composite

30,102,430 factors as 2 × 5 × 67 × 179 × 251. Its 32 positive divisors give a proper-divisor sum of 25,418,210, so this integer is deficient. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 179 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,520,640
Proper Divisor Sum 25,418,210
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #30102407 ← → #30102431

Radix Representation

Decimal 30102430
Binary 1110010110101001110011110 (25 bits)
Octal 0o162651636
Hexadecimal 0x1CB539E

Divisor Catalog (32)

1 2 5 10 67 134 179 251 335 358 502 670 895 1,255 1,790 2,510 11,993 16,817 23,986 33,634 44,929 59,965 84,085 89,858 119,930 168,170 224,645 449,290 3,010,243 6,020,486 15,051,215 30,102,430

Collatz Trajectory (312 steps to reach 1)

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

30,102,430 15,051,215 45,153,646 22,576,823 67,730,470 33,865,235 101,595,706 50,797,853 152,393,560 76,196,780 38,098,390 19,049,195 57,147,586 28,573,793 85,721,380 42,860,690 21,430,345 64,291,036 32,145,518 16,072,759 48,218,278 24,109,139 72,327,418 36,163,709 108,491,128 54,245,564 27,122,782 13,561,391 40,684,174 20,342,087 61,026,262 30,513,131 91,539,394 45,769,697 137,309,092 68,654,546 34,327,273 102,981,820 51,490,910 25,745,455 77,236,366 38,618,183 115,854,550 57,927,275 173,781,826 86,890,913 260,672,740 130,336,370 65,168,185 195,504,556 97,752,278 48,876,139 146,628,418 73,314,209 219,942,628 109,971,314 54,985,657 164,956,972 82,478,486 41,239,243

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