2,014,082

2 × 7 × 293 × 491

2,014,082 factors as 2 × 7 × 293 × 491. Its 16 positive divisors give a proper-divisor sum of 1,457,470, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 7 × 293 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,471,552

Proper Divisor Sum 1,457,470

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2014081 ← → #2014097

Radix Representation

Decimal	2014082
Binary	111101011101110000010 (21 bits)
Octal	0o7535602
Hexadecimal	0x1EBB82

Divisor Catalog (16)

1 2 7 14 293 491 586 982 2,051 3,437 4,102 6,874 143,863 287,726 1,007,041 2,014,082

Collatz Trajectory (91 steps to reach 1)

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

2,014,082 1,007,041 3,021,124 1,510,562 755,281 2,265,844 1,132,922 566,461 1,699,384 849,692 424,846 212,423 637,270 318,635 955,906 477,953 1,433,860 716,930 358,465 1,075,396 537,698 268,849 806,548 403,274 201,637 604,912 302,456 151,228 75,614 37,807 113,422 56,711 170,134 85,067 255,202 127,601 382,804 191,402 95,701 287,104 143,552 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132

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