4,237,968

2⁴ × 3 × 7 × 12613

4,237,968 factors as 2^4 × 3 × 7 × 12613. Its 40 positive divisors give a proper-divisor sum of 8,275,120, so this integer is abundant. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 12613

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,513,088

Proper Divisor Sum 8,275,120

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4237967 ← → #4237993

Radix Representation

Decimal	4237968
Binary	10000001010101010010000 (23 bits)
Octal	0o20125220
Hexadecimal	0x40AA90

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12,613 25,226 37,839 50,452 75,678 88,291 100,904 151,356 176,582 201,808 264,873 302,712 353,164 529,746 605,424 706,328 1,059,492 1,412,656 2,118,984 4,237,968

Collatz Trajectory (304 steps to reach 1)

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

4,237,968 2,118,984 1,059,492 529,746 264,873 794,620 397,310 198,655 595,966 297,983 893,950 446,975 1,340,926 670,463 2,011,390 1,005,695 3,017,086 1,508,543 4,525,630 2,262,815 6,788,446 3,394,223 10,182,670 5,091,335 15,274,006 7,637,003 22,911,010 11,455,505 34,366,516 17,183,258 8,591,629 25,774,888 12,887,444 6,443,722 3,221,861 9,665,584 4,832,792 2,416,396 1,208,198 604,099 1,812,298 906,149 2,718,448 1,359,224 679,612 339,806 169,903 509,710 254,855 764,566 382,283 1,146,850 573,425 1,720,276 860,138 430,069 1,290,208 645,104 322,552 161,276

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