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Atlas › Integer Profiles › Node 41,707,752

41,707,752

23 × 3 × 719 × 2417
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 719 × 2417
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,457,600
Proper Divisor Sum 62,749,848
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #41707751 ← → #41707777

Radix Representation

Decimal 41707752
Binary 10011111000110100011101000 (26 bits)
Octal 0o237064350
Hexadecimal 0x27C68E8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 719 1,438 2,157 2,417 2,876 4,314 4,834 5,752 7,251 8,628 9,668 14,502 17,256 19,336 29,004 58,008 1,737,823 3,475,646 5,213,469 6,951,292 10,426,938 13,902,584 20,853,876 41,707,752

Collatz Trajectory (253 steps to reach 1)

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

41,707,752 20,853,876 10,426,938 5,213,469 15,640,408 7,820,204 3,910,102 1,955,051 5,865,154 2,932,577 8,797,732 4,398,866 2,199,433 6,598,300 3,299,150 1,649,575 4,948,726 2,474,363 7,423,090 3,711,545 11,134,636 5,567,318 2,783,659 8,350,978 4,175,489 12,526,468 6,263,234 3,131,617 9,394,852 4,697,426 2,348,713 7,046,140 3,523,070 1,761,535 5,284,606 2,642,303 7,926,910 3,963,455 11,890,366 5,945,183 17,835,550 8,917,775 26,753,326 13,376,663 40,129,990 20,064,995 60,194,986 30,097,493 90,292,480 45,146,240 22,573,120 11,286,560 5,643,280 2,821,640 1,410,820 705,410 352,705 1,058,116 529,058 264,529

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