1,752,420

2² × 3 × 5 × 29207

1,752,420 factors as 2^2 × 3 × 5 × 29207. Its 24 positive divisors give a proper-divisor sum of 3,154,524, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29207

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,906,944

Proper Divisor Sum 3,154,524

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1752419 ← → #1752437

Radix Representation

Decimal	1752420
Binary	110101011110101100100 (21 bits)
Octal	0o6536544
Hexadecimal	0x1ABD64

Divisor Catalog (24)

Collatz Trajectory (158 steps to reach 1)

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

1,752,420 876,210 438,105 1,314,316 657,158 328,579 985,738 492,869 1,478,608 739,304 369,652 184,826 92,413 277,240 138,620 69,310 34,655 103,966 51,983 155,950 77,975 233,926 116,963 350,890 175,445 526,336 263,168 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

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