4,496,856

2³ × 3 × 7 × 13 × 29 × 71

4,496,856 factors as 2^3 × 3 × 7 × 13 × 29 × 71. Its 128 positive divisors give a proper-divisor sum of 10,018,344, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 29 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,515,200

Proper Divisor Sum 10,018,344

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4496831 ← → #4496861

Radix Representation

Decimal	4496856
Binary	10001001001110111011000 (23 bits)
Octal	0o21116730
Hexadecimal	0x449DD8

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 71 78 84 87 91 104 116 142 156 168 174 182 203 213 232 273 284 312 348 364 377 406 426 497 546 568 609 696 728 754 812 852 923 994 1,092 1,131 1,218 1,491 1,508 1,624

Collatz Trajectory (110 steps to reach 1)

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

4,496,856 2,248,428 1,124,214 562,107 1,686,322 843,161 2,529,484 1,264,742 632,371 1,897,114 948,557 2,845,672 1,422,836 711,418 355,709 1,067,128 533,564 266,782 133,391 400,174 200,087 600,262 300,131 900,394 450,197 1,350,592 675,296 337,648 168,824 84,412 42,206 21,103 63,310 31,655 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754

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