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4,434,228

22 × 32 × 37 × 3329
Abundant Even Composite

4,434,228 factors as 2^2 × 3^2 × 37 × 3329. Its 36 positive divisors give a proper-divisor sum of 7,080,912, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 3329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,515,140
Proper Divisor Sum 7,080,912
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4434197 ← → #4434251

Radix Representation

Decimal 4434228
Binary 10000111010100100110100 (23 bits)
Octal 0o20724464
Hexadecimal 0x43A934

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1,332 3,329 6,658 9,987 13,316 19,974 29,961 39,948 59,922 119,844 123,173 246,346 369,519 492,692 739,038 1,108,557 1,478,076 2,217,114 4,434,228

Collatz Trajectory (180 steps to reach 1)

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

4,434,228 2,217,114 1,108,557 3,325,672 1,662,836 831,418 415,709 1,247,128 623,564 311,782 155,891 467,674 233,837 701,512 350,756 175,378 87,689 263,068 131,534 65,767 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950 166,475 499,426 249,713 749,140 374,570 187,285 561,856 280,928 140,464 70,232 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696

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