1,746,940

2² × 5 × 13 × 6719

1,746,940 factors as 2^2 × 5 × 13 × 6719. Its 24 positive divisors give a proper-divisor sum of 2,204,420, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 6719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,951,360

Proper Divisor Sum 2,204,420

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1746929 ← → #1746947

Radix Representation

Decimal	1746940
Binary	110101010011111111100 (21 bits)
Octal	0o6523774
Hexadecimal	0x1AA7FC

Divisor Catalog (24)

Collatz Trajectory (189 steps to reach 1)

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

1,746,940 873,470 436,735 1,310,206 655,103 1,965,310 982,655 2,947,966 1,473,983 4,421,950 2,210,975 6,632,926 3,316,463 9,949,390 4,974,695 14,924,086 7,462,043 22,386,130 11,193,065 33,579,196 16,789,598 8,394,799 25,184,398 12,592,199 37,776,598 18,888,299 56,664,898 28,332,449 84,997,348 42,498,674 21,249,337 63,748,012 31,874,006 15,937,003 47,811,010 23,905,505 71,716,516 35,858,258 17,929,129 53,787,388 26,893,694 13,446,847 40,340,542 20,170,271 60,510,814 30,255,407 90,766,222 45,383,111 136,149,334 68,074,667 204,224,002 102,112,001 306,336,004 153,168,002 76,584,001 229,752,004 114,876,002 57,438,001 172,314,004 86,157,002

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