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Atlas › Integer Profiles › Node 40,040,044

40,040,044

22 × 11 × 79 × 11519
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 79 × 11519
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,414,400
Proper Divisor Sum 37,374,356
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #40040041 ← → #40040093

Radix Representation

Decimal 40040044
Binary 10011000101111011001101100 (26 bits)
Octal 0o230573154
Hexadecimal 0x262F66C

Divisor Catalog (24)

1 2 4 11 22 44 79 158 316 869 1,738 3,476 11,519 23,038 46,076 126,709 253,418 506,836 910,001 1,820,002 3,640,004 10,010,011 20,020,022 40,040,044

Collatz Trajectory (346 steps to reach 1)

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

40,040,044 20,020,022 10,010,011 30,030,034 15,015,017 45,045,052 22,522,526 11,261,263 33,783,790 16,891,895 50,675,686 25,337,843 76,013,530 38,006,765 114,020,296 57,010,148 28,505,074 14,252,537 42,757,612 21,378,806 10,689,403 32,068,210 16,034,105 48,102,316 24,051,158 12,025,579 36,076,738 18,038,369 54,115,108 27,057,554 13,528,777 40,586,332 20,293,166 10,146,583 30,439,750 15,219,875 45,659,626 22,829,813 68,489,440 34,244,720 17,122,360 8,561,180 4,280,590 2,140,295 6,420,886 3,210,443 9,631,330 4,815,665 14,446,996 7,223,498 3,611,749 10,835,248 5,417,624 2,708,812 1,354,406 677,203 2,031,610 1,015,805 3,047,416 1,523,708

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