1,582,734

2 × 3 × 17 × 59 × 263

1,582,734 has digital root 3. The neighboring primes are 1582729 and 1582753; its proper-divisor sum differs from the starting integer by 255,972.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 59 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,421,440

Proper Divisor Sum 1,838,706

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1582729 ← → #1582753

Radix Representation

Decimal	1582734
Binary	110000010011010001110 (21 bits)
Octal	0o6023216
Hexadecimal	0x18268E

Divisor Catalog (32)

1 2 3 6 17 34 51 59 102 118 177 263 354 526 789 1,003 1,578 2,006 3,009 4,471 6,018 8,942 13,413 15,517 26,826 31,034 46,551 93,102 263,789 527,578 791,367 1,582,734

Collatz Trajectory (124 steps to reach 1)

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

1,582,734 791,367 2,374,102 1,187,051 3,561,154 1,780,577 5,341,732 2,670,866 1,335,433 4,006,300 2,003,150 1,001,575 3,004,726 1,502,363 4,507,090 2,253,545 6,760,636 3,380,318 1,690,159 5,070,478 2,535,239 7,605,718 3,802,859 11,408,578 5,704,289 17,112,868 8,556,434 4,278,217 12,834,652 6,417,326 3,208,663 9,625,990 4,812,995 14,438,986 7,219,493 21,658,480 10,829,240 5,414,620 2,707,310 1,353,655 4,060,966 2,030,483 6,091,450 3,045,725 9,137,176 4,568,588 2,284,294 1,142,147 3,426,442 1,713,221 5,139,664 2,569,832 1,284,916 642,458 321,229 963,688 481,844 240,922 120,461 361,384

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