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Atlas › Integer Profiles › Node 2,970,441

2,970,441

32 × 19 × 29 × 599
Deficient Odd Composite

2,970,441 factors as 3^2 × 19 × 29 × 599. Its 24 positive divisors give a proper-divisor sum of 1,709,559, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 29 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,680,000
Proper Divisor Sum 1,709,559
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2970439 ← → #2970467

Radix Representation

Decimal 2970441
Binary 1011010101001101001001 (22 bits)
Octal 0o13251511
Hexadecimal 0x2D5349

Divisor Catalog (24)

1 3 9 19 29 57 87 171 261 551 599 1,653 1,797 4,959 5,391 11,381 17,371 34,143 52,113 102,429 156,339 330,049 990,147 2,970,441

Collatz Trajectory (164 steps to reach 1)

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

2,970,441 8,911,324 4,455,662 2,227,831 6,683,494 3,341,747 10,025,242 5,012,621 15,037,864 7,518,932 3,759,466 1,879,733 5,639,200 2,819,600 1,409,800 704,900 352,450 176,225 528,676 264,338 132,169 396,508 198,254 99,127 297,382 148,691 446,074 223,037 669,112 334,556 167,278 83,639 250,918 125,459 376,378 188,189 564,568 282,284 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841

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