4,527,432

2³ × 3² × 7 × 13 × 691

4,527,432 factors as 2^3 × 3^2 × 7 × 13 × 691. Its 96 positive divisors give a proper-divisor sum of 10,585,848, so this integer is abundant. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,113,280

Proper Divisor Sum 10,585,848

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4527421 ← → #4527437

Radix Representation

Decimal	4527432
Binary	10001010001010101001000 (23 bits)
Octal	0o21212510
Hexadecimal	0x451548

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 691 728 819 936 1,092 1,382 1,638 2,073 2,184 2,764 3,276 4,146 4,837 5,528 6,219 6,552 8,292 8,983 9,674 12,438

Collatz Trajectory (286 steps to reach 1)

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

4,527,432 2,263,716 1,131,858 565,929 1,697,788 848,894 424,447 1,273,342 636,671 1,910,014 955,007 2,865,022 1,432,511 4,297,534 2,148,767 6,446,302 3,223,151 9,669,454 4,834,727 14,504,182 7,252,091 21,756,274 10,878,137 32,634,412 16,317,206 8,158,603 24,475,810 12,237,905 36,713,716 18,356,858 9,178,429 27,535,288 13,767,644 6,883,822 3,441,911 10,325,734 5,162,867 15,488,602 7,744,301 23,232,904 11,616,452 5,808,226 2,904,113 8,712,340 4,356,170 2,178,085 6,534,256 3,267,128 1,633,564 816,782 408,391 1,225,174 612,587 1,837,762 918,881 2,756,644 1,378,322 689,161 2,067,484 1,033,742

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