2,829,264

2⁴ × 3 × 58943

2,829,264 factors as 2^4 × 3 × 58943. Its 20 positive divisors give a proper-divisor sum of 4,479,792, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 58943

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,309,056

Proper Divisor Sum 4,479,792

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2829263 ← → #2829289

Radix Representation

Decimal	2829264
Binary	1010110010101111010000 (22 bits)
Octal	0o12625720
Hexadecimal	0x2B2BD0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 58,943 117,886 176,829 235,772 353,658 471,544 707,316 943,088 1,414,632 2,829,264

Collatz Trajectory (107 steps to reach 1)

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

2,829,264 1,414,632 707,316 353,658 176,829 530,488 265,244 132,622 66,311 198,934 99,467 298,402 149,201 447,604 223,802 111,901 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992

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