4,429,460

2² × 5 × 7 × 29 × 1091

4,429,460 factors as 2^2 × 5 × 7 × 29 × 1091. Its 48 positive divisors give a proper-divisor sum of 6,577,900, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 29 × 1091

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,007,360

Proper Divisor Sum 6,577,900

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4429459 ← → #4429463

Radix Representation

Decimal	4429460
Binary	10000111001011010010100 (23 bits)
Octal	0o20713224
Hexadecimal	0x439694

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1,015 1,091 2,030 2,182 4,060 4,364 5,455 7,637 10,910 15,274 21,820 30,548 31,639 38,185 63,278 76,370 126,556 152,740 158,195 221,473 316,390 442,946 632,780 885,892 1,107,365 2,214,730 4,429,460

Collatz Trajectory (61 steps to reach 1)

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

4,429,460 2,214,730 1,107,365 3,322,096 1,661,048 830,524 415,262 207,631 622,894 311,447 934,342 467,171 1,401,514 700,757 2,102,272 1,051,136 525,568 262,784 131,392 65,696 32,848 16,424 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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