556,010

2 × 5 × 7 × 13² × 47

556,010 factors as 2 × 5 × 7 × 13^2 × 47. Its 48 positive divisors give a proper-divisor sum of 708,886, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,264,896

Proper Divisor Sum 708,886

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #556007 ← → #556021

Radix Representation

Decimal	556010
Binary	10000111101111101010 (20 bits)
Octal	0o2075752
Hexadecimal	0x87BEA

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 47 65 70 91 94 130 169 182 235 329 338 455 470 611 658 845 910 1,183 1,222 1,645 1,690 2,366 3,055 3,290 4,277 5,915 6,110 7,943 8,554 11,830 15,886 21,385 39,715 42,770 55,601 79,430 111,202 278,005 556,010

Collatz Trajectory (115 steps to reach 1)

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

556,010 278,005 834,016 417,008 208,504 104,252 52,126 26,063 78,190 39,095 117,286 58,643 175,930 87,965 263,896 131,948 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166

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