λ
Integer Codex

1,059,045

3 × 5 × 13 × 5431
Deficient Odd Composite

For 1,059,045, the 16 positive divisors have a total of 1,825,152. Removing 1,059,045 leaves 766,107, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 5431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,825,152
Proper Divisor Sum 766,107
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1059029 ← → #1059059

Radix Representation

Decimal 1059045
Binary 100000010100011100101 (21 bits)
Octal 0o4024345
Hexadecimal 0x1028E5

Divisor Catalog (16)

1 3 5 13 15 39 65 195 5,431 16,293 27,155 70,603 81,465 211,809 353,015 1,059,045

Collatz Trajectory (196 steps to reach 1)

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

1,059,045 3,177,136 1,588,568 794,284 397,142 198,571 595,714 297,857 893,572 446,786 223,393 670,180 335,090 167,545 502,636 251,318 125,659 376,978 188,489 565,468 282,734 141,367 424,102 212,051 636,154 318,077 954,232 477,116 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 1,207,708 603,854 301,927 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136 5,803,568 2,901,784 1,450,892

More profiles

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