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Atlas › Integer Profiles › Node 30,096,052

30,096,052

22 × 7 × 17 × 23 × 2749
Abundant Even Composite

30,096,052 factors as 2^2 × 7 × 17 × 23 × 2749. Its 48 positive divisors give a proper-divisor sum of 36,431,948, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 23 × 2749
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,528,000
Proper Divisor Sum 36,431,948
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #30096041 ← → #30096067

Radix Representation

Decimal 30096052
Binary 1110010110011101010110100 (25 bits)
Octal 0o162635264
Hexadecimal 0x1CB3AB4

Divisor Catalog (48)

1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1,564 2,737 2,749 5,474 5,498 10,948 10,996 19,243 38,486 46,733 63,227 76,972 93,466 126,454 186,932 252,908 327,131 442,589 654,262 885,178 1,074,859 1,308,524 1,770,356 2,149,718 4,299,436 7,524,013 15,048,026 30,096,052

Collatz Trajectory (157 steps to reach 1)

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

30,096,052 15,048,026 7,524,013 22,572,040 11,286,020 5,643,010 2,821,505 8,464,516 4,232,258 2,116,129 6,348,388 3,174,194 1,587,097 4,761,292 2,380,646 1,190,323 3,570,970 1,785,485 5,356,456 2,678,228 1,339,114 669,557 2,008,672 1,004,336 502,168 251,084 125,542 62,771 188,314 94,157 282,472 141,236 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305

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