2,015,496

2³ × 3³ × 7 × 31 × 43

2,015,496 factors as 2^3 × 3^3 × 7 × 31 × 43. Its 128 positive divisors give a proper-divisor sum of 4,742,904, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 31 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 6,758,400

Proper Divisor Sum 4,742,904

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2015491 ← → #2015509

Radix Representation

Decimal	2015496
Binary	111101100000100001000 (21 bits)
Octal	0o7540410
Hexadecimal	0x1EC108

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 43 54 56 62 63 72 84 86 93 108 124 126 129 168 172 186 189 216 217 248 252 258 279 301 344 372 378 387 434 504 516 558 602 651 744 756 774 837 868 903 1,032 1,116

Collatz Trajectory (122 steps to reach 1)

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

2,015,496 1,007,748 503,874 251,937 755,812 377,906 188,953 566,860 283,430 141,715 425,146 212,573 637,720 318,860 159,430 79,715 239,146 119,573 358,720 179,360 89,680 44,840 22,420 11,210 5,605 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134

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