λ
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Atlas › Integer Profiles › Node 9,733,647

9,733,647

3 × 7 × 11 × 29 × 1453
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 29 × 1453
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,750,080
Proper Divisor Sum 7,016,433
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9733631 ← → #9733651

Radix Representation

Decimal 9733647
Binary 100101001000011000001111 (24 bits)
Octal 0o45103017
Hexadecimal 0x94860F

Divisor Catalog (32)

1 3 7 11 21 29 33 77 87 203 231 319 609 957 1,453 2,233 4,359 6,699 10,171 15,983 30,513 42,137 47,949 111,881 126,411 294,959 335,643 463,507 884,877 1,390,521 3,244,549 9,733,647

Collatz Trajectory (145 steps to reach 1)

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

9,733,647 29,200,942 14,600,471 43,801,414 21,900,707 65,702,122 32,851,061 98,553,184 49,276,592 24,638,296 12,319,148 6,159,574 3,079,787 9,239,362 4,619,681 13,859,044 6,929,522 3,464,761 10,394,284 5,197,142 2,598,571 7,795,714 3,897,857 11,693,572 5,846,786 2,923,393 8,770,180 4,385,090 2,192,545 6,577,636 3,288,818 1,644,409 4,933,228 2,466,614 1,233,307 3,699,922 1,849,961 5,549,884 2,774,942 1,387,471 4,162,414 2,081,207 6,243,622 3,121,811 9,365,434 4,682,717 14,048,152 7,024,076 3,512,038 1,756,019 5,268,058 2,634,029 7,902,088 3,951,044 1,975,522 987,761 2,963,284 1,481,642 740,821 2,222,464

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