λ
Ratio Atlas

31,416,190

2 × 5 × 13 × 241663
Deficient Even Composite

31,416,190 factors as 2 × 5 × 13 × 241663. Its 16 positive divisors give a proper-divisor sum of 29,483,138, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 241663
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 60,899,328
Proper Divisor Sum 29,483,138
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31416179 ← → #31416223

Radix Representation

Decimal 31416190
Binary 1110111110101111101111110 (25 bits)
Octal 0o167657576
Hexadecimal 0x1DF5F7E

Divisor Catalog (16)

Collatz Trajectory (201 steps to reach 1)

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

31,416,190 15,708,095 47,124,286 23,562,143 70,686,430 35,343,215 106,029,646 53,014,823 159,044,470 79,522,235 238,566,706 119,283,353 357,850,060 178,925,030 89,462,515 268,387,546 134,193,773 402,581,320 201,290,660 100,645,330 50,322,665 150,967,996 75,483,998 37,741,999 113,225,998 56,612,999 169,838,998 84,919,499 254,758,498 127,379,249 382,137,748 191,068,874 95,534,437 286,603,312 143,301,656 71,650,828 35,825,414 17,912,707 53,738,122 26,869,061 80,607,184 40,303,592 20,151,796 10,075,898 5,037,949 15,113,848 7,556,924 3,778,462 1,889,231 5,667,694 2,833,847 8,501,542 4,250,771 12,752,314 6,376,157 19,128,472 9,564,236 4,782,118 2,391,059 7,173,178

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