1,398,520

2³ × 5 × 34963

1,398,520 factors as 2^3 × 5 × 34963. Its 16 positive divisors give a proper-divisor sum of 1,748,240, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 34963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,146,760

Proper Divisor Sum 1,748,240

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1398517 ← → #1398521

Radix Representation

Decimal	1398520
Binary	101010101011011111000 (21 bits)
Octal	0o5253370
Hexadecimal	0x1556F8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 34,963 69,926 139,852 174,815 279,704 349,630 699,260 1,398,520

Collatz Trajectory (230 steps to reach 1)

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

1,398,520 699,260 349,630 174,815 524,446 262,223 786,670 393,335 1,180,006 590,003 1,770,010 885,005 2,655,016 1,327,508 663,754 331,877 995,632 497,816 248,908 124,454 62,227 186,682 93,341 280,024 140,012 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873

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