λ
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Atlas › Integer Profiles › Node 43,661,464

43,661,464

23 × 7 × 11 × 70879
Abundant Even Composite

43,661,464 factors as 2^3 × 7 × 11 × 70879. Its 32 positive divisors give a proper-divisor sum of 58,405,736, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 70879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,067,200
Proper Divisor Sum 58,405,736
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #43661447 ← → #43661467

Radix Representation

Decimal 43661464
Binary 10100110100011100010011000 (26 bits)
Octal 0o246434230
Hexadecimal 0x29A3898

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 70,879 141,758 283,516 496,153 567,032 779,669 992,306 1,559,338 1,984,612 3,118,676 3,969,224 5,457,683 6,237,352 10,915,366 21,830,732 43,661,464

Collatz Trajectory (204 steps to reach 1)

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

43,661,464 21,830,732 10,915,366 5,457,683 16,373,050 8,186,525 24,559,576 12,279,788 6,139,894 3,069,947 9,209,842 4,604,921 13,814,764 6,907,382 3,453,691 10,361,074 5,180,537 15,541,612 7,770,806 3,885,403 11,656,210 5,828,105 17,484,316 8,742,158 4,371,079 13,113,238 6,556,619 19,669,858 9,834,929 29,504,788 14,752,394 7,376,197 22,128,592 11,064,296 5,532,148 2,766,074 1,383,037 4,149,112 2,074,556 1,037,278 518,639 1,555,918 777,959 2,333,878 1,166,939 3,500,818 1,750,409 5,251,228 2,625,614 1,312,807 3,938,422 1,969,211 5,907,634 2,953,817 8,861,452 4,430,726 2,215,363 6,646,090 3,323,045 9,969,136

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