2,131,904

2⁶ × 33311

2,131,904 factors as 2^6 × 33311. Its 14 positive divisors give a proper-divisor sum of 2,098,720, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^6 × 33311

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 4,230,624

Proper Divisor Sum 2,098,720

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2131867 ← → #2131907

Radix Representation

Decimal	2131904
Binary	1000001000011111000000 (22 bits)
Octal	0o10103700
Hexadecimal	0x2087C0

Divisor Catalog (14)

1 2 4 8 16 32 64 33,311 66,622 133,244 266,488 532,976 1,065,952 2,131,904

Collatz Trajectory (210 steps to reach 1)

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

2,131,904 1,065,952 532,976 266,488 133,244 66,622 33,311 99,934 49,967 149,902 74,951 224,854 112,427 337,282 168,641 505,924 252,962 126,481 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534

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