λ
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1,616,680

23 × 5 × 13 × 3109
Abundant Even Composite

1,616,680 factors as 2^3 × 5 × 13 × 3109. Its 32 positive divisors give a proper-divisor sum of 2,301,920, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 3109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,918,600
Proper Divisor Sum 2,301,920
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1616677 ← → #1616687

Radix Representation

Decimal 1616680
Binary 110001010101100101000 (21 bits)
Octal 0o6125450
Hexadecimal 0x18AB28

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3,109 6,218 12,436 15,545 24,872 31,090 40,417 62,180 80,834 124,360 161,668 202,085 323,336 404,170 808,340 1,616,680

Collatz Trajectory (101 steps to reach 1)

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

1,616,680 808,340 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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