3,725,316

2² × 3² × 7 × 14783

3,725,316 factors as 2^2 × 3^2 × 7 × 14783. Its 36 positive divisors give a proper-divisor sum of 7,037,436, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 14783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,762,752

Proper Divisor Sum 7,037,436

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3725303 ← → #3725347

Radix Representation

Decimal	3725316
Binary	1110001101100000000100 (22 bits)
Octal	0o16154004
Hexadecimal	0x38D804

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 14,783 29,566 44,349 59,132 88,698 103,481 133,047 177,396 206,962 266,094 310,443 413,924 532,188 620,886 931,329 1,241,772 1,862,658 3,725,316

Collatz Trajectory (84 steps to reach 1)

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

3,725,316 1,862,658 931,329 2,793,988 1,396,994 698,497 2,095,492 1,047,746 523,873 1,571,620 785,810 392,905 1,178,716 589,358 294,679 884,038 442,019 1,326,058 663,029 1,989,088 994,544 497,272 248,636 124,318 62,159 186,478 93,239 279,718 139,859 419,578 209,789 629,368 314,684 157,342 78,671 236,014 118,007 354,022 177,011 531,034 265,517 796,552 398,276 199,138 99,569 298,708 149,354 74,677 224,032 112,016 56,008 28,004 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632

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