2,000,960

2⁶ × 5 × 13² × 37

2,000,960 factors as 2^6 × 5 × 13^2 × 37. Its 84 positive divisors give a proper-divisor sum of 3,297,988, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 13^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 5,298,948

Proper Divisor Sum 3,297,988

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2000959 ← → #2000963

Radix Representation

Decimal	2000960
Binary	111101000100001000000 (21 bits)
Octal	0o7504100
Hexadecimal	0x1E8840

Divisor Catalog (60 of 84)

1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 130 148 160 169 185 208 260 296 320 338 370 416 481 520 592 676 740 832 845 962 1,040 1,184 1,352 1,480 1,690 1,924 2,080 2,368 2,405 2,704 2,960 3,380 3,848 4,160 4,810 5,408 5,920 6,253 6,760 7,696 9,620

Collatz Trajectory (140 steps to reach 1)

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

2,000,960 1,000,480 500,240 250,120 125,060 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119

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