3,210,550

2 × 5² × 7 × 9173

3,210,550 factors as 2 × 5^2 × 7 × 9173. Its 24 positive divisors give a proper-divisor sum of 3,614,906, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 9173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,825,456

Proper Divisor Sum 3,614,906

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #3210533 ← → #3210551

Radix Representation

Decimal	3210550
Binary	1100001111110100110110 (22 bits)
Octal	0o14176466
Hexadecimal	0x30FD36

Divisor Catalog (24)

Collatz Trajectory (94 steps to reach 1)

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

3,210,550 1,605,275 4,815,826 2,407,913 7,223,740 3,611,870 1,805,935 5,417,806 2,708,903 8,126,710 4,063,355 12,190,066 6,095,033 18,285,100 9,142,550 4,571,275 13,713,826 6,856,913 20,570,740 10,285,370 5,142,685 15,428,056 7,714,028 3,857,014 1,928,507 5,785,522 2,892,761 8,678,284 4,339,142 2,169,571 6,508,714 3,254,357 9,763,072 4,881,536 2,440,768 1,220,384 610,192 305,096 152,548 76,274 38,137 114,412 57,206 28,603 85,810 42,905 128,716 64,358 32,179 96,538 48,269 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394

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