4,424,442

2 × 3 × 11 × 43 × 1559

4,424,442 factors as 2 × 3 × 11 × 43 × 1559. Its 32 positive divisors give a proper-divisor sum of 5,459,718, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 43 × 1559

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,884,160

Proper Divisor Sum 5,459,718

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4424429 ← → #4424447

Radix Representation

Decimal	4424442
Binary	10000111000001011111010 (23 bits)
Octal	0o20701372
Hexadecimal	0x4382FA

Divisor Catalog (32)

1 2 3 6 11 22 33 43 66 86 129 258 473 946 1,419 1,559 2,838 3,118 4,677 9,354 17,149 34,298 51,447 67,037 102,894 134,074 201,111 402,222 737,407 1,474,814 2,212,221 4,424,442

Collatz Trajectory (118 steps to reach 1)

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

4,424,442 2,212,221 6,636,664 3,318,332 1,659,166 829,583 2,488,750 1,244,375 3,733,126 1,866,563 5,599,690 2,799,845 8,399,536 4,199,768 2,099,884 1,049,942 524,971 1,574,914 787,457 2,362,372 1,181,186 590,593 1,771,780 885,890 442,945 1,328,836 664,418 332,209 996,628 498,314 249,157 747,472 373,736 186,868 93,434 46,717 140,152 70,076 35,038 17,519 52,558 26,279 78,838 39,419 118,258 59,129 177,388 88,694 44,347 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064

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