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Atlas › Integer Profiles › Node 9,028,285

9,028,285

5 × 7 × 31 × 53 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 31 × 53 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,105,152
Proper Divisor Sum 4,076,867
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9028273 ← → #9028291

Radix Representation

Decimal 9028285
Binary 100010011100001010111101 (24 bits)
Octal 0o42341275
Hexadecimal 0x89C2BD

Divisor Catalog (32)

1 5 7 31 35 53 155 157 217 265 371 785 1,085 1,099 1,643 1,855 4,867 5,495 8,215 8,321 11,501 24,335 34,069 41,605 57,505 58,247 170,345 257,951 291,235 1,289,755 1,805,657 9,028,285

Collatz Trajectory (225 steps to reach 1)

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

9,028,285 27,084,856 13,542,428 6,771,214 3,385,607 10,156,822 5,078,411 15,235,234 7,617,617 22,852,852 11,426,426 5,713,213 17,139,640 8,569,820 4,284,910 2,142,455 6,427,366 3,213,683 9,641,050 4,820,525 14,461,576 7,230,788 3,615,394 1,807,697 5,423,092 2,711,546 1,355,773 4,067,320 2,033,660 1,016,830 508,415 1,525,246 762,623 2,287,870 1,143,935 3,431,806 1,715,903 5,147,710 2,573,855 7,721,566 3,860,783 11,582,350 5,791,175 17,373,526 8,686,763 26,060,290 13,030,145 39,090,436 19,545,218 9,772,609 29,317,828 14,658,914 7,329,457 21,988,372 10,994,186 5,497,093 16,491,280 8,245,640 4,122,820 2,061,410

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