λ
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30,173,232

24 × 3 × 17 × 103 × 359
Abundant Even Composite

30,173,232 factors as 2^4 × 3 × 17 × 103 × 359. Its 80 positive divisors give a proper-divisor sum of 53,392,848, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 103 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 83,566,080
Proper Divisor Sum 53,392,848
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #30173219 ← → #30173233

Radix Representation

Decimal 30173232
Binary 1110011000110100000110000 (25 bits)
Octal 0o163064060
Hexadecimal 0x1CC6830

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 204 206 272 309 359 408 412 618 718 816 824 1,077 1,236 1,436 1,648 1,751 2,154 2,472 2,872 3,502 4,308 4,944 5,253 5,744 6,103 7,004 8,616 10,506 12,206 14,008 17,232 18,309 21,012 24,412 28,016 36,618 36,977 42,024 48,824 73,236 73,954 84,048 97,648

Collatz Trajectory (82 steps to reach 1)

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

30,173,232 15,086,616 7,543,308 3,771,654 1,885,827 5,657,482 2,828,741 8,486,224 4,243,112 2,121,556 1,060,778 530,389 1,591,168 795,584 397,792 198,896 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148

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