2,051,428

2² × 37 × 83 × 167

2,051,428 factors as 2^2 × 37 × 83 × 167. Its 24 positive divisors give a proper-divisor sum of 1,702,364, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 83 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,753,792

Proper Divisor Sum 1,702,364

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2051419 ← → #2051429

Radix Representation

Decimal	2051428
Binary	111110100110101100100 (21 bits)
Octal	0o7646544
Hexadecimal	0x1F4D64

Divisor Catalog (24)

1 2 4 37 74 83 148 166 167 332 334 668 3,071 6,142 6,179 12,284 12,358 13,861 24,716 27,722 55,444 512,857 1,025,714 2,051,428

Collatz Trajectory (104 steps to reach 1)

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

2,051,428 1,025,714 512,857 1,538,572 769,286 384,643 1,153,930 576,965 1,730,896 865,448 432,724 216,362 108,181 324,544 162,272 81,136 40,568 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170

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