1,090,512

2⁴ × 3² × 7573

For 1,090,512, the 30 positive divisors have a total of 3,052,322. Removing 1,090,512 leaves 1,961,810, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7573

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 3,052,322

Proper Divisor Sum 1,961,810

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1090493 ← → #1090519

Radix Representation

Decimal	1090512
Binary	100001010001111010000 (21 bits)
Octal	0o4121720
Hexadecimal	0x10A3D0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7,573 15,146 22,719 30,292 45,438 60,584 68,157 90,876 121,168 136,314 181,752 272,628 363,504 545,256 1,090,512

Collatz Trajectory (165 steps to reach 1)

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

1,090,512 545,256 272,628 136,314 68,157 204,472 102,236 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524

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