1,016,015

5 × 7² × 11 × 13 × 29

1,016,015 has the prime decomposition 5 × 7^2 × 11 × 13 × 29. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,723,680

Proper Divisor Sum 707,665

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1016011 ← → #1016023

Radix Representation

Decimal	1016015
Binary	11111000000011001111 (20 bits)
Octal	0o3700317
Hexadecimal	0xF80CF

Divisor Catalog (48)

1 5 7 11 13 29 35 49 55 65 77 91 143 145 203 245 319 377 385 455 539 637 715 1,001 1,015 1,421 1,595 1,885 2,233 2,639 2,695 3,185 4,147 5,005 7,007 7,105 11,165 13,195 15,631 18,473 20,735 29,029 35,035 78,155 92,365 145,145 203,203 1,016,015

Collatz Trajectory (227 steps to reach 1)

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

1,016,015 3,048,046 1,524,023 4,572,070 2,286,035 6,858,106 3,429,053 10,287,160 5,143,580 2,571,790 1,285,895 3,857,686 1,928,843 5,786,530 2,893,265 8,679,796 4,339,898 2,169,949 6,509,848 3,254,924 1,627,462 813,731 2,441,194 1,220,597 3,661,792 1,830,896 915,448 457,724 228,862 114,431 343,294 171,647 514,942 257,471 772,414 386,207 1,158,622 579,311 1,737,934 868,967 2,606,902 1,303,451 3,910,354 1,955,177 5,865,532 2,932,766 1,466,383 4,399,150 2,199,575 6,598,726 3,299,363 9,898,090 4,949,045 14,847,136 7,423,568 3,711,784 1,855,892 927,946 463,973 1,391,920

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