2,946,825

3² × 5² × 7 × 1871

2,946,825 factors as 3^2 × 5^2 × 7 × 1871. Its 36 positive divisors give a proper-divisor sum of 3,088,503, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 1871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,035,328

Proper Divisor Sum 3,088,503

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2946821 ← → #2946841

Radix Representation

Decimal	2946825
Binary	1011001111011100001001 (22 bits)
Octal	0o13173411
Hexadecimal	0x2CF709

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1,575 1,871 5,613 9,355 13,097 16,839 28,065 39,291 46,775 65,485 84,195 117,873 140,325 196,455 327,425 420,975 589,365 982,275 2,946,825

Collatz Trajectory (244 steps to reach 1)

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

2,946,825 8,840,476 4,420,238 2,210,119 6,630,358 3,315,179 9,945,538 4,972,769 14,918,308 7,459,154 3,729,577 11,188,732 5,594,366 2,797,183 8,391,550 4,195,775 12,587,326 6,293,663 18,880,990 9,440,495 28,321,486 14,160,743 42,482,230 21,241,115 63,723,346 31,861,673 95,585,020 47,792,510 23,896,255 71,688,766 35,844,383 107,533,150 53,766,575 161,299,726 80,649,863 241,949,590 120,974,795 362,924,386 181,462,193 544,386,580 272,193,290 136,096,645 408,289,936 204,144,968 102,072,484 51,036,242 25,518,121 76,554,364 38,277,182 19,138,591 57,415,774 28,707,887 86,123,662 43,061,831 129,185,494 64,592,747 193,778,242 96,889,121 290,667,364 145,333,682

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