λ
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Atlas › Integer Profiles › Node 9,748,926

9,748,926

2 × 32 × 11 × 53 × 929
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 53 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,502,960
Proper Divisor Sum 13,754,034
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9748909 ← → #9748927

Radix Representation

Decimal 9748926
Binary 100101001100000110111110 (24 bits)
Octal 0o45140676
Hexadecimal 0x94C1BE

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 929 954 1,166 1,749 1,858 2,787 3,498 5,247 5,574 8,361 10,219 10,494 16,722 20,438 30,657 49,237 61,314 91,971 98,474 147,711 183,942 295,422 443,133 541,607 886,266 1,083,214 1,624,821 3,249,642 4,874,463 9,748,926

Collatz Trajectory (251 steps to reach 1)

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

9,748,926 4,874,463 14,623,390 7,311,695 21,935,086 10,967,543 32,902,630 16,451,315 49,353,946 24,676,973 74,030,920 37,015,460 18,507,730 9,253,865 27,761,596 13,880,798 6,940,399 20,821,198 10,410,599 31,231,798 15,615,899 46,847,698 23,423,849 70,271,548 35,135,774 17,567,887 52,703,662 26,351,831 79,055,494 39,527,747 118,583,242 59,291,621 177,874,864 88,937,432 44,468,716 22,234,358 11,117,179 33,351,538 16,675,769 50,027,308 25,013,654 12,506,827 37,520,482 18,760,241 56,280,724 28,140,362 14,070,181 42,210,544 21,105,272 10,552,636 5,276,318 2,638,159 7,914,478 3,957,239 11,871,718 5,935,859 17,807,578 8,903,789 26,711,368 13,355,684

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