62,467,272

2³ × 3² × 7 × 41 × 3023

62,467,272 factors as 2^3 × 3^2 × 7 × 41 × 3023. Its 96 positive divisors give a proper-divisor sum of 135,665,208, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 41 × 3023

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 198,132,480

Proper Divisor Sum 135,665,208

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #62467271 ← → #62467283

Radix Representation

Decimal	62467272
Binary	11101110010010110011001000 (26 bits)
Octal	0o356226310
Hexadecimal	0x3B92CC8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1,148 1,476 1,722 2,296 2,583 2,952 3,023 3,444 5,166 6,046 6,888 9,069 10,332 12,092 18,138 20,664 21,161 24,184 27,207 36,276 42,322 54,414 63,483

Collatz Trajectory (132 steps to reach 1)

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

62,467,272 31,233,636 15,616,818 7,808,409 23,425,228 11,712,614 5,856,307 17,568,922 8,784,461 26,353,384 13,176,692 6,588,346 3,294,173 9,882,520 4,941,260 2,470,630 1,235,315 3,705,946 1,852,973 5,558,920 2,779,460 1,389,730 694,865 2,084,596 1,042,298 521,149 1,563,448 781,724 390,862 195,431 586,294 293,147 879,442 439,721 1,319,164 659,582 329,791 989,374 494,687 1,484,062 742,031 2,226,094 1,113,047 3,339,142 1,669,571 5,008,714 2,504,357 7,513,072 3,756,536 1,878,268 939,134 469,567 1,408,702 704,351 2,113,054 1,056,527 3,169,582 1,584,791 4,754,374 2,377,187

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