21,584,048

2⁴ × 1349003

21,584,048 factors as 2^4 × 1349003. Its 10 positive divisors give a proper-divisor sum of 20,235,076, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 1349003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 41,819,124

Proper Divisor Sum 20,235,076

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #21584047 ← → #21584089

Radix Representation

Decimal	21584048
Binary	1010010010101100010110000 (25 bits)
Octal	0o122254260
Hexadecimal	0x14958B0

Divisor Catalog (10)

1 2 4 8 16 1,349,003 2,698,006 5,396,012 10,792,024 21,584,048

Collatz Trajectory (115 steps to reach 1)

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

21,584,048 10,792,024 5,396,012 2,698,006 1,349,003 4,047,010 2,023,505 6,070,516 3,035,258 1,517,629 4,552,888 2,276,444 1,138,222 569,111 1,707,334 853,667 2,561,002 1,280,501 3,841,504 1,920,752 960,376 480,188 240,094 120,047 360,142 180,071 540,214 270,107 810,322 405,161 1,215,484 607,742 303,871 911,614 455,807 1,367,422 683,711 2,051,134 1,025,567 3,076,702 1,538,351 4,615,054 2,307,527 6,922,582 3,461,291 10,383,874 5,191,937 15,575,812 7,787,906 3,893,953 11,681,860 5,840,930 2,920,465 8,761,396 4,380,698 2,190,349 6,571,048 3,285,524 1,642,762 821,381

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