4,090,128

2⁴ × 3 × 7² × 37 × 47

4,090,128 factors as 2^4 × 3 × 7^2 × 37 × 47. Its 120 positive divisors give a proper-divisor sum of 8,801,904, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,892,032

Proper Divisor Sum 8,801,904

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4090127 ← → #4090129

Radix Representation

Decimal	4090128
Binary	1111100110100100010000 (22 bits)
Octal	0o17464420
Hexadecimal	0x3E6910

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 47 48 49 56 74 84 94 98 111 112 141 147 148 168 188 196 222 259 282 294 296 329 336 376 392 444 518 564 588 592 658 752 777 784 888 987 1,036 1,128 1,176 1,316 1,554 1,739 1,776 1,813 1,974

Collatz Trajectory (105 steps to reach 1)

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

4,090,128 2,045,064 1,022,532 511,266 255,633 766,900 383,450 191,725 575,176 287,588 143,794 71,897 215,692 107,846 53,923 161,770 80,885 242,656 121,328 60,664 30,332 15,166 7,583 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721

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