901,806

2 × 3 × 150301

901,806 factors as 2 × 3 × 150301. Its 8 positive divisors give a proper-divisor sum of 901,818, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 3 × 150301

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,803,624

Proper Divisor Sum 901,818

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #901787 ← → #901811

Radix Representation

Decimal	901806
Binary	11011100001010101110 (20 bits)
Octal	0o3341256
Hexadecimal	0xDC2AE

Divisor Catalog (8)

1 2 3 6 150,301 300,602 450,903 901,806

Collatz Trajectory (69 steps to reach 1)

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

901,806 450,903 1,352,710 676,355 2,029,066 1,014,533 3,043,600 1,521,800 760,900 380,450 190,225 570,676 285,338 142,669 428,008 214,004 107,002 53,501 160,504 80,252 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160

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