21,396,906

2 × 3³ × 396239

21,396,906 factors as 2 × 3^3 × 396239. Its 16 positive divisors give a proper-divisor sum of 26,151,894, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 396239

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,548,800

Proper Divisor Sum 26,151,894

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #21396901 ← → #21396917

Radix Representation

Decimal	21396906
Binary	1010001100111110110101010 (25 bits)
Octal	0o121476652
Hexadecimal	0x1467DAA

Divisor Catalog (16)

1 2 3 6 9 18 27 54 396,239 792,478 1,188,717 2,377,434 3,566,151 7,132,302 10,698,453 21,396,906

Collatz Trajectory (159 steps to reach 1)

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

21,396,906 10,698,453 32,095,360 16,047,680 8,023,840 4,011,920 2,005,960 1,002,980 501,490 250,745 752,236 376,118 188,059 564,178 282,089 846,268 423,134 211,567 634,702 317,351 952,054 476,027 1,428,082 714,041 2,142,124 1,071,062 535,531 1,606,594 803,297 2,409,892 1,204,946 602,473 1,807,420 903,710 451,855 1,355,566 677,783 2,033,350 1,016,675 3,050,026 1,525,013 4,575,040 2,287,520 1,143,760 571,880 285,940 142,970 71,485 214,456 107,228 53,614 26,807 80,422 40,211 120,634 60,317 180,952 90,476 45,238 22,619

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