4,028,892

2² × 3 × 7 × 47963

Starting at 4,028,892, the Collatz iteration reaches 1 after 92 steps. The first transition is 2014446; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 47963

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,743,936

Proper Divisor Sum 6,715,044

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4028891 ← → #4028917

Radix Representation

Decimal	4028892
Binary	1111010111100111011100 (22 bits)
Octal	0o17274734
Hexadecimal	0x3D79DC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 47,963 95,926 143,889 191,852 287,778 335,741 575,556 671,482 1,007,223 1,342,964 2,014,446 4,028,892

Collatz Trajectory (92 steps to reach 1)

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

4,028,892 2,014,446 1,007,223 3,021,670 1,510,835 4,532,506 2,266,253 6,798,760 3,399,380 1,699,690 849,845 2,549,536 1,274,768 637,384 318,692 159,346 79,673 239,020 119,510 59,755 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710

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