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Atlas › Integer Profiles › Node 3,198,265

3,198,265

5 × 7 × 23 × 29 × 137
Deficient Odd Composite

3,198,265 factors as 5 × 7 × 23 × 29 × 137. Its 32 positive divisors give a proper-divisor sum of 1,571,015, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5 × 7 × 23 × 29 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,769,280
Proper Divisor Sum 1,571,015
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3198257 ← → #3198269

Radix Representation

Decimal 3198265
Binary 1100001100110100111001 (22 bits)
Octal 0o14146471
Hexadecimal 0x30CD39

Divisor Catalog (32)

1 5 7 23 29 35 115 137 145 161 203 667 685 805 959 1,015 3,151 3,335 3,973 4,669 4,795 15,755 19,865 22,057 23,345 27,811 91,379 110,285 139,055 456,895 639,653 3,198,265

Collatz Trajectory (120 steps to reach 1)

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

3,198,265 9,594,796 4,797,398 2,398,699 7,196,098 3,598,049 10,794,148 5,397,074 2,698,537 8,095,612 4,047,806 2,023,903 6,071,710 3,035,855 9,107,566 4,553,783 13,661,350 6,830,675 20,492,026 10,246,013 30,738,040 15,369,020 7,684,510 3,842,255 11,526,766 5,763,383 17,290,150 8,645,075 25,935,226 12,967,613 38,902,840 19,451,420 9,725,710 4,862,855 14,588,566 7,294,283 21,882,850 10,941,425 32,824,276 16,412,138 8,206,069 24,618,208 12,309,104 6,154,552 3,077,276 1,538,638 769,319 2,307,958 1,153,979 3,461,938 1,730,969 5,192,908 2,596,454 1,298,227 3,894,682 1,947,341 5,842,024 2,921,012 1,460,506 730,253

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