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Atlas › Integer Profiles › Node 3,045,159

3,045,159

32 × 13 × 17 × 1531
Deficient Odd Composite

3,045,159 factors as 3^2 × 13 × 17 × 1531. Its 24 positive divisors give a proper-divisor sum of 1,973,673, so this integer is deficient. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,018,832
Proper Divisor Sum 1,973,673
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3045157 ← → #3045169

Radix Representation

Decimal 3045159
Binary 1011100111011100100111 (22 bits)
Octal 0o13473447
Hexadecimal 0x2E7727

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 663 1,531 1,989 4,593 13,779 19,903 26,027 59,709 78,081 179,127 234,243 338,351 1,015,053 3,045,159

Collatz Trajectory (270 steps to reach 1)

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

3,045,159 9,135,478 4,567,739 13,703,218 6,851,609 20,554,828 10,277,414 5,138,707 15,416,122 7,708,061 23,124,184 11,562,092 5,781,046 2,890,523 8,671,570 4,335,785 13,007,356 6,503,678 3,251,839 9,755,518 4,877,759 14,633,278 7,316,639 21,949,918 10,974,959 32,924,878 16,462,439 49,387,318 24,693,659 74,080,978 37,040,489 111,121,468 55,560,734 27,780,367 83,341,102 41,670,551 125,011,654 62,505,827 187,517,482 93,758,741 281,276,224 140,638,112 70,319,056 35,159,528 17,579,764 8,789,882 4,394,941 13,184,824 6,592,412 3,296,206 1,648,103 4,944,310 2,472,155 7,416,466 3,708,233 11,124,700 5,562,350 2,781,175 8,343,526 4,171,763

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