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Atlas › Integer Profiles › Node 9,723,645

9,723,645

35 × 5 × 53 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 53 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,926,272
Proper Divisor Sum 8,202,627
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9723631 ← → #9723647

Radix Representation

Decimal 9723645
Binary 100101000101111011111101 (24 bits)
Octal 0o45057375
Hexadecimal 0x945EFD

Divisor Catalog (48)

1 3 5 9 15 27 45 53 81 135 151 159 243 265 405 453 477 755 795 1,215 1,359 1,431 2,265 2,385 4,077 4,293 6,795 7,155 8,003 12,231 12,879 20,385 21,465 24,009 36,693 40,015 61,155 64,395 72,027 120,045 183,465 216,081 360,135 648,243 1,080,405 1,944,729 3,241,215 9,723,645

Collatz Trajectory (225 steps to reach 1)

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

9,723,645 29,170,936 14,585,468 7,292,734 3,646,367 10,939,102 5,469,551 16,408,654 8,204,327 24,612,982 12,306,491 36,919,474 18,459,737 55,379,212 27,689,606 13,844,803 41,534,410 20,767,205 62,301,616 31,150,808 15,575,404 7,787,702 3,893,851 11,681,554 5,840,777 17,522,332 8,761,166 4,380,583 13,141,750 6,570,875 19,712,626 9,856,313 29,568,940 14,784,470 7,392,235 22,176,706 11,088,353 33,265,060 16,632,530 8,316,265 24,948,796 12,474,398 6,237,199 18,711,598 9,355,799 28,067,398 14,033,699 42,101,098 21,050,549 63,151,648 31,575,824 15,787,912 7,893,956 3,946,978 1,973,489 5,920,468 2,960,234 1,480,117 4,440,352 2,220,176

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