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Atlas › Integer Profiles › Node 2,976,820

2,976,820

22 × 5 × 7 × 11 × 1933
Abundant Even Composite

2,976,820 factors as 2^2 × 5 × 7 × 11 × 1933. Its 48 positive divisors give a proper-divisor sum of 4,821,068, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 1933
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,797,888
Proper Divisor Sum 4,821,068
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2976797 ← → #2976829

Radix Representation

Decimal 2976820
Binary 1011010110110000110100 (22 bits)
Octal 0o13266064
Hexadecimal 0x2D6C34

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 1,933 3,866 7,732 9,665 13,531 19,330 21,263 27,062 38,660 42,526 54,124 67,655 85,052 106,315 135,310 148,841 212,630 270,620 297,682 425,260 595,364 744,205 1,488,410 2,976,820

Collatz Trajectory (120 steps to reach 1)

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

2,976,820 1,488,410 744,205 2,232,616 1,116,308 558,154 279,077 837,232 418,616 209,308 104,654 52,327 156,982 78,491 235,474 117,737 353,212 176,606 88,303 264,910 132,455 397,366 198,683 596,050 298,025 894,076 447,038 223,519 670,558 335,279 1,005,838 502,919 1,508,758 754,379 2,263,138 1,131,569 3,394,708 1,697,354 848,677 2,546,032 1,273,016 636,508 318,254 159,127 477,382 238,691 716,074 358,037 1,074,112 537,056 268,528 134,264 67,132 33,566 16,783 50,350 25,175 75,526 37,763 113,290

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