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Atlas › Integer Profiles › Node 2,968,100

2,968,100

22 × 52 × 67 × 443
Abundant Even Composite

2,968,100 factors as 2^2 × 5^2 × 67 × 443. Its 36 positive divisors give a proper-divisor sum of 3,583,564, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 67 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,551,664
Proper Divisor Sum 3,583,564
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2968099 ← → #2968111

Radix Representation

Decimal 2968100
Binary 1011010100101000100100 (22 bits)
Octal 0o13245044
Hexadecimal 0x2D4A24

Divisor Catalog (36)

1 2 4 5 10 20 25 50 67 100 134 268 335 443 670 886 1,340 1,675 1,772 2,215 3,350 4,430 6,700 8,860 11,075 22,150 29,681 44,300 59,362 118,724 148,405 296,810 593,620 742,025 1,484,050 2,968,100

Collatz Trajectory (94 steps to reach 1)

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

2,968,100 1,484,050 742,025 2,226,076 1,113,038 556,519 1,669,558 834,779 2,504,338 1,252,169 3,756,508 1,878,254 939,127 2,817,382 1,408,691 4,226,074 2,113,037 6,339,112 3,169,556 1,584,778 792,389 2,377,168 1,188,584 594,292 297,146 148,573 445,720 222,860 111,430 55,715 167,146 83,573 250,720 125,360 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829

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