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Atlas › Integer Profiles › Node 1,962,038

1,962,038

2 × 13 × 17 × 23 × 193
Deficient Even Composite

1,962,038 factors as 2 × 13 × 17 × 23 × 193. Its 32 positive divisors give a proper-divisor sum of 1,557,898, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 23 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,519,936
Proper Divisor Sum 1,557,898
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1962013 ← → #1962041

Radix Representation

Decimal 1962038
Binary 111011111000000110110 (21 bits)
Octal 0o7370066
Hexadecimal 0x1DF036

Divisor Catalog (32)

1 2 13 17 23 26 34 46 193 221 299 386 391 442 598 782 2,509 3,281 4,439 5,018 5,083 6,562 8,878 10,166 42,653 57,707 75,463 85,306 115,414 150,926 981,019 1,962,038

Collatz Trajectory (153 steps to reach 1)

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

1,962,038 981,019 2,943,058 1,471,529 4,414,588 2,207,294 1,103,647 3,310,942 1,655,471 4,966,414 2,483,207 7,449,622 3,724,811 11,174,434 5,587,217 16,761,652 8,380,826 4,190,413 12,571,240 6,285,620 3,142,810 1,571,405 4,714,216 2,357,108 1,178,554 589,277 1,767,832 883,916 441,958 220,979 662,938 331,469 994,408 497,204 248,602 124,301 372,904 186,452 93,226 46,613 139,840 69,920 34,960 17,480 8,740 4,370 2,185 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454

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