1,584,666

2 × 3² × 88037

1,584,666 has digital root 9. The neighboring primes are 1584643 and 1584697; its proper-divisor sum differs from the starting integer by 264,150.

Prime Factor Structure

Factorization String 2 × 3^2 × 88037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,433,482

Proper Divisor Sum 1,848,816

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1584643 ← → #1584697

Radix Representation

Decimal	1584666
Binary	110000010111000011010 (21 bits)
Octal	0o6027032
Hexadecimal	0x182E1A

Divisor Catalog (12)

1 2 3 6 9 18 88,037 176,074 264,111 528,222 792,333 1,584,666

Collatz Trajectory (75 steps to reach 1)

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

1,584,666 792,333 2,377,000 1,188,500 594,250 297,125 891,376 445,688 222,844 111,422 55,711 167,134 83,567 250,702 125,351 376,054 188,027 564,082 282,041 846,124 423,062 211,531 634,594 317,297 951,892 475,946 237,973 713,920 356,960 178,480 89,240 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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