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Atlas › Integer Profiles › Node 9,304,575

9,304,575

3 × 52 × 7 × 37 × 479
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 37 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,094,080
Proper Divisor Sum 8,789,505
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9304573 ← → #9304583

Radix Representation

Decimal 9304575
Binary 100011011111100111111111 (24 bits)
Octal 0o43374777
Hexadecimal 0x8DF9FF

Divisor Catalog (48)

1 3 5 7 15 21 25 35 37 75 105 111 175 185 259 479 525 555 777 925 1,295 1,437 2,395 2,775 3,353 3,885 6,475 7,185 10,059 11,975 16,765 17,723 19,425 35,925 50,295 53,169 83,825 88,615 124,061 251,475 265,845 372,183 443,075 620,305 1,329,225 1,860,915 3,101,525 9,304,575

Collatz Trajectory (207 steps to reach 1)

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

9,304,575 27,913,726 13,956,863 41,870,590 20,935,295 62,805,886 31,402,943 94,208,830 47,104,415 141,313,246 70,656,623 211,969,870 105,984,935 317,954,806 158,977,403 476,932,210 238,466,105 715,398,316 357,699,158 178,849,579 536,548,738 268,274,369 804,823,108 402,411,554 201,205,777 603,617,332 301,808,666 150,904,333 452,713,000 226,356,500 113,178,250 56,589,125 169,767,376 84,883,688 42,441,844 21,220,922 10,610,461 31,831,384 15,915,692 7,957,846 3,978,923 11,936,770 5,968,385 17,905,156 8,952,578 4,476,289 13,428,868 6,714,434 3,357,217 10,071,652 5,035,826 2,517,913 7,553,740 3,776,870 1,888,435 5,665,306 2,832,653 8,497,960 4,248,980 2,124,490

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