4,494,448

2⁴ × 7 × 40129

4,494,448 factors as 2^4 × 7 × 40129. Its 20 positive divisors give a proper-divisor sum of 5,457,792, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 40129

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,952,240

Proper Divisor Sum 5,457,792

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4494401 ← → #4494463

Radix Representation

Decimal	4494448
Binary	10001001001010001110000 (23 bits)
Octal	0o21112160
Hexadecimal	0x449470

Divisor Catalog (20)

Collatz Trajectory (149 steps to reach 1)

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

4,494,448 2,247,224 1,123,612 561,806 280,903 842,710 421,355 1,264,066 632,033 1,896,100 948,050 474,025 1,422,076 711,038 355,519 1,066,558 533,279 1,599,838 799,919 2,399,758 1,199,879 3,599,638 1,799,819 5,399,458 2,699,729 8,099,188 4,049,594 2,024,797 6,074,392 3,037,196 1,518,598 759,299 2,277,898 1,138,949 3,416,848 1,708,424 854,212 427,106 213,553 640,660 320,330 160,165 480,496 240,248 120,124 60,062 30,031 90,094 45,047 135,142 67,571 202,714 101,357 304,072 152,036 76,018 38,009 114,028 57,014 28,507

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