710,828

2² × 19 × 47 × 199

710,828 factors as 2^2 × 19 × 47 × 199. Its 24 positive divisors give a proper-divisor sum of 633,172, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 47 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,344,000

Proper Divisor Sum 633,172

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #710813 ← → #710837

Radix Representation

Decimal	710828
Binary	10101101100010101100 (20 bits)
Octal	0o2554254
Hexadecimal	0xAD8AC

Divisor Catalog (24)

1 2 4 19 38 47 76 94 188 199 398 796 893 1,786 3,572 3,781 7,562 9,353 15,124 18,706 37,412 177,707 355,414 710,828

Collatz Trajectory (198 steps to reach 1)

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

710,828 355,414 177,707 533,122 266,561 799,684 399,842 199,921 599,764 299,882 149,941 449,824 224,912 112,456 56,228 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064

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