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Atlas › Integer Profiles › Node 30,487,542

30,487,542

2 × 3 × 59 × 71 × 1213
Abundant Even Composite

30,487,542 factors as 2 × 3 × 59 × 71 × 1213. Its 32 positive divisors give a proper-divisor sum of 32,446,218, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 71 × 1213
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,933,760
Proper Divisor Sum 32,446,218
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #30487531 ← → #30487543

Radix Representation

Decimal 30487542
Binary 1110100010011001111110110 (25 bits)
Octal 0o164231766
Hexadecimal 0x1D133F6

Divisor Catalog (32)

1 2 3 6 59 71 118 142 177 213 354 426 1,213 2,426 3,639 4,189 7,278 8,378 12,567 25,134 71,567 86,123 143,134 172,246 214,701 258,369 429,402 516,738 5,081,257 10,162,514 15,243,771 30,487,542

Collatz Trajectory (157 steps to reach 1)

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

30,487,542 15,243,771 45,731,314 22,865,657 68,596,972 34,298,486 17,149,243 51,447,730 25,723,865 77,171,596 38,585,798 19,292,899 57,878,698 28,939,349 86,818,048 43,409,024 21,704,512 10,852,256 5,426,128 2,713,064 1,356,532 678,266 339,133 1,017,400 508,700 254,350 127,175 381,526 190,763 572,290 286,145 858,436 429,218 214,609 643,828 321,914 160,957 482,872 241,436 120,718 60,359 181,078 90,539 271,618 135,809 407,428 203,714 101,857 305,572 152,786 76,393 229,180 114,590 57,295 171,886 85,943 257,830 128,915 386,746 193,373

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