λ
Ratio Atlas

8,072,831

13 × 103 × 6029
Deficient Odd Composite

8,072,831 factors as 13 × 103 × 6029. Its 8 positive divisors give a proper-divisor sum of 706,849, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 13 × 103 × 6029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,779,680
Proper Divisor Sum 706,849
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8072821 ← → #8072837

Radix Representation

Decimal 8072831
Binary 11110110010111001111111 (23 bits)
Octal 0o36627177
Hexadecimal 0x7B2E7F

Divisor Catalog (8)

1 13 103 1,339 6,029 78,377 620,987 8,072,831

Collatz Trajectory (217 steps to reach 1)

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

8,072,831 24,218,494 12,109,247 36,327,742 18,163,871 54,491,614 27,245,807 81,737,422 40,868,711 122,606,134 61,303,067 183,909,202 91,954,601 275,863,804 137,931,902 68,965,951 206,897,854 103,448,927 310,346,782 155,173,391 465,520,174 232,760,087 698,280,262 349,140,131 1,047,420,394 523,710,197 1,571,130,592 785,565,296 392,782,648 196,391,324 98,195,662 49,097,831 147,293,494 73,646,747 220,940,242 110,470,121 331,410,364 165,705,182 82,852,591 248,557,774 124,278,887 372,836,662 186,418,331 559,254,994 279,627,497 838,882,492 419,441,246 209,720,623 629,161,870 314,580,935 943,742,806 471,871,403 1,415,614,210 707,807,105 2,123,421,316 1,061,710,658 530,855,329 1,592,565,988 796,282,994 398,141,497

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