1,575,620

2² × 5 × 78781

1,575,620 factors as 2^2 × 5 × 78781. Its 12 positive divisors give a proper-divisor sum of 1,733,224, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 78781

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,308,844

Proper Divisor Sum 1,733,224

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1575617 ← → #1575631

Radix Representation

Decimal	1575620
Binary	110000000101011000100 (21 bits)
Octal	0o6005304
Hexadecimal	0x180AC4

Divisor Catalog (12)

1 2 4 5 10 20 78,781 157,562 315,124 393,905 787,810 1,575,620

Collatz Trajectory (70 steps to reach 1)

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

1,575,620 787,810 393,905 1,181,716 590,858 295,429 886,288 443,144 221,572 110,786 55,393 166,180 83,090 41,545 124,636 62,318 31,159 93,478 46,739 140,218 70,109 210,328 105,164 52,582 26,291 78,874 39,437 118,312 59,156 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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