λ
Sigma Notebook

1,053,306

2 × 32 × 163 × 359
Abundant Even Composite

1,053,306 is even and not a perfect square. Its factorization is 2 × 3^2 × 163 × 359 and its 24 divisors sum to 2,302,560.

Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,302,560
Proper Divisor Sum 1,249,254
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1053301 ← → #1053319

Radix Representation

Decimal 1053306
Binary 100000001001001111010 (21 bits)
Octal 0o4011172
Hexadecimal 0x10127A

Divisor Catalog (24)

1 2 3 6 9 18 163 326 359 489 718 978 1,077 1,467 2,154 2,934 3,231 6,462 58,517 117,034 175,551 351,102 526,653 1,053,306

Collatz Trajectory (126 steps to reach 1)

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

1,053,306 526,653 1,579,960 789,980 394,990 197,495 592,486 296,243 888,730 444,365 1,333,096 666,548 333,274 166,637 499,912 249,956 124,978 62,489 187,468 93,734 46,867 140,602 70,301 210,904 105,452 52,726 26,363 79,090 39,545 118,636 59,318 29,659 88,978 44,489 133,468 66,734 33,367 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094

More profiles

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