1,054,263

3 × 7 × 61 × 823

1,054,263 is odd and not a perfect square. Its factorization is 3 × 7 × 61 × 823 and its 16 divisors sum to 1,634,816.

Prime Factor Structure

Factorization String 3 × 7 × 61 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,634,816

Proper Divisor Sum 580,553

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1054259 ← → #1054267

Radix Representation

Decimal	1054263
Binary	100000001011000110111 (21 bits)
Octal	0o4013067
Hexadecimal	0x101637

Divisor Catalog (16)

1 3 7 21 61 183 427 823 1,281 2,469 5,761 17,283 50,203 150,609 351,421 1,054,263

Collatz Trajectory (333 steps to reach 1)

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

1,054,263 3,162,790 1,581,395 4,744,186 2,372,093 7,116,280 3,558,140 1,779,070 889,535 2,668,606 1,334,303 4,002,910 2,001,455 6,004,366 3,002,183 9,006,550 4,503,275 13,509,826 6,754,913 20,264,740 10,132,370 5,066,185 15,198,556 7,599,278 3,799,639 11,398,918 5,699,459 17,098,378 8,549,189 25,647,568 12,823,784 6,411,892 3,205,946 1,602,973 4,808,920 2,404,460 1,202,230 601,115 1,803,346 901,673 2,705,020 1,352,510 676,255 2,028,766 1,014,383 3,043,150 1,521,575 4,564,726 2,282,363 6,847,090 3,423,545 10,270,636 5,135,318 2,567,659 7,702,978 3,851,489 11,554,468 5,777,234 2,888,617 8,665,852

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