λ
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4,124,016

24 × 32 × 13 × 2203
Abundant Even Composite

4,124,016 factors as 2^4 × 3^2 × 13 × 2203. Its 60 positive divisors give a proper-divisor sum of 8,310,952, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 2203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,434,968
Proper Divisor Sum 8,310,952
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4124009 ← → #4124069

Radix Representation

Decimal 4124016
Binary 1111101110110101110000 (22 bits)
Octal 0o17566560
Hexadecimal 0x3EED70

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 2,203 4,406 6,609 8,812 13,218 17,624 19,827 26,436 28,639 35,248 39,654 52,872 57,278 79,308 85,917 105,744 114,556 158,616 171,834 229,112 257,751 317,232 343,668 458,224 515,502 687,336 1,031,004 1,374,672 2,062,008 4,124,016

Collatz Trajectory (92 steps to reach 1)

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

4,124,016 2,062,008 1,031,004 515,502 257,751 773,254 386,627 1,159,882 579,941 1,739,824 869,912 434,956 217,478 108,739 326,218 163,109 489,328 244,664 122,332 61,166 30,583 91,750 45,875 137,626 68,813 206,440 103,220 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

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