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Atlas › Integer Profiles › Node 3,969,423

3,969,423

32 × 19 × 139 × 167
Deficient Odd Composite

3,969,423 factors as 3^2 × 19 × 139 × 167. Its 24 positive divisors give a proper-divisor sum of 2,145,777, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 139 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,115,200
Proper Divisor Sum 2,145,777
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3969421 ← → #3969437

Radix Representation

Decimal 3969423
Binary 1111001001000110001111 (22 bits)
Octal 0o17110617
Hexadecimal 0x3C918F

Divisor Catalog (24)

1 3 9 19 57 139 167 171 417 501 1,251 1,503 2,641 3,173 7,923 9,519 23,213 23,769 28,557 69,639 208,917 441,047 1,323,141 3,969,423

Collatz Trajectory (167 steps to reach 1)

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

3,969,423 11,908,270 5,954,135 17,862,406 8,931,203 26,793,610 13,396,805 40,190,416 20,095,208 10,047,604 5,023,802 2,511,901 7,535,704 3,767,852 1,883,926 941,963 2,825,890 1,412,945 4,238,836 2,119,418 1,059,709 3,179,128 1,589,564 794,782 397,391 1,192,174 596,087 1,788,262 894,131 2,682,394 1,341,197 4,023,592 2,011,796 1,005,898 502,949 1,508,848 754,424 377,212 188,606 94,303 282,910 141,455 424,366 212,183 636,550 318,275 954,826 477,413 1,432,240 716,120 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058

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