λ
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Atlas › Integer Profiles › Node 29,452,734

29,452,734

2 × 34 × 281 × 647
Abundant Even Composite

29,452,734 factors as 2 × 3^4 × 281 × 647. Its 40 positive divisors give a proper-divisor sum of 36,880,434, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 281 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 66,333,168
Proper Divisor Sum 36,880,434
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #29452733 ← → #29452763

Radix Representation

Decimal 29452734
Binary 1110000010110100110111110 (25 bits)
Octal 0o160264676
Hexadecimal 0x1C169BE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 281 562 647 843 1,294 1,686 1,941 2,529 3,882 5,058 5,823 7,587 11,646 15,174 17,469 22,761 34,938 45,522 52,407 104,814 181,807 363,614 545,421 1,090,842 1,636,263 3,272,526 4,908,789 9,817,578 14,726,367 29,452,734

Collatz Trajectory (144 steps to reach 1)

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

29,452,734 14,726,367 44,179,102 22,089,551 66,268,654 33,134,327 99,402,982 49,701,491 149,104,474 74,552,237 223,656,712 111,828,356 55,914,178 27,957,089 83,871,268 41,935,634 20,967,817 62,903,452 31,451,726 15,725,863 47,177,590 23,588,795 70,766,386 35,383,193 106,149,580 53,074,790 26,537,395 79,612,186 39,806,093 119,418,280 59,709,140 29,854,570 14,927,285 44,781,856 22,390,928 11,195,464 5,597,732 2,798,866 1,399,433 4,198,300 2,099,150 1,049,575 3,148,726 1,574,363 4,723,090 2,361,545 7,084,636 3,542,318 1,771,159 5,313,478 2,656,739 7,970,218 3,985,109 11,955,328 5,977,664 2,988,832 1,494,416 747,208 373,604 186,802

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