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Atlas › Integer Profiles › Node 23,978,745

23,978,745

32 × 5 × 7 × 76123
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 76123
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,501,376
Proper Divisor Sum 23,522,631
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #23978711 ← → #23978749

Radix Representation

Decimal 23978745
Binary 1011011011110001011111001 (25 bits)
Octal 0o133361371
Hexadecimal 0x16DE2F9

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 76,123 228,369 380,615 532,861 685,107 1,141,845 1,598,583 2,664,305 3,425,535 4,795,749 7,992,915 23,978,745

Collatz Trajectory (229 steps to reach 1)

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

23,978,745 71,936,236 35,968,118 17,984,059 53,952,178 26,976,089 80,928,268 40,464,134 20,232,067 60,696,202 30,348,101 91,044,304 45,522,152 22,761,076 11,380,538 5,690,269 17,070,808 8,535,404 4,267,702 2,133,851 6,401,554 3,200,777 9,602,332 4,801,166 2,400,583 7,201,750 3,600,875 10,802,626 5,401,313 16,203,940 8,101,970 4,050,985 12,152,956 6,076,478 3,038,239 9,114,718 4,557,359 13,672,078 6,836,039 20,508,118 10,254,059 30,762,178 15,381,089 46,143,268 23,071,634 11,535,817 34,607,452 17,303,726 8,651,863 25,955,590 12,977,795 38,933,386 19,466,693 58,400,080 29,200,040 14,600,020 7,300,010 3,650,005 10,950,016 5,475,008

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