λ
Ratio Atlas

3,228,453

32 × 17 × 21101
Deficient Odd Composite

3,228,453 factors as 3^2 × 17 × 21101. Its 12 positive divisors give a proper-divisor sum of 1,709,415, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 21101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,937,868
Proper Divisor Sum 1,709,415
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3228443 ← → #3228457

Radix Representation

Decimal 3228453
Binary 1100010100001100100101 (22 bits)
Octal 0o14241445
Hexadecimal 0x314325

Divisor Catalog (12)

1 3 9 17 51 153 21,101 63,303 189,909 358,717 1,076,151 3,228,453

Collatz Trajectory (115 steps to reach 1)

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

3,228,453 9,685,360 4,842,680 2,421,340 1,210,670 605,335 1,816,006 908,003 2,724,010 1,362,005 4,086,016 2,043,008 1,021,504 510,752 255,376 127,688 63,844 31,922 15,961 47,884 23,942 11,971 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418

More profiles

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