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Atlas › Integer Profiles › Node 41,126,768

41,126,768

24 × 79 × 32537
Deficient Even Composite

41,126,768 factors as 2^4 × 79 × 32537. Its 20 positive divisors give a proper-divisor sum of 39,567,472, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^4 × 79 × 32537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 80,694,240
Proper Divisor Sum 39,567,472
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41126747 ← → #41126777

Radix Representation

Decimal 41126768
Binary 10011100111000101101110000 (26 bits)
Octal 0o234705560
Hexadecimal 0x2738B70

Divisor Catalog (20)

1 2 4 8 16 79 158 316 632 1,264 32,537 65,074 130,148 260,296 520,592 2,570,423 5,140,846 10,281,692 20,563,384 41,126,768

Collatz Trajectory (253 steps to reach 1)

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

41,126,768 20,563,384 10,281,692 5,140,846 2,570,423 7,711,270 3,855,635 11,566,906 5,783,453 17,350,360 8,675,180 4,337,590 2,168,795 6,506,386 3,253,193 9,759,580 4,879,790 2,439,895 7,319,686 3,659,843 10,979,530 5,489,765 16,469,296 8,234,648 4,117,324 2,058,662 1,029,331 3,087,994 1,543,997 4,631,992 2,315,996 1,157,998 578,999 1,736,998 868,499 2,605,498 1,302,749 3,908,248 1,954,124 977,062 488,531 1,465,594 732,797 2,198,392 1,099,196 549,598 274,799 824,398 412,199 1,236,598 618,299 1,854,898 927,449 2,782,348 1,391,174 695,587 2,086,762 1,043,381 3,130,144 1,565,072

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