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Atlas › Integer Profiles › Node 3,271,420

3,271,420

22 × 5 × 19 × 8609
Abundant Even Composite

3,271,420 factors as 2^2 × 5 × 19 × 8609. Its 24 positive divisors give a proper-divisor sum of 3,960,980, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 8609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,232,400
Proper Divisor Sum 3,960,980
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3271391 ← → #3271441

Radix Representation

Decimal 3271420
Binary 1100011110101011111100 (22 bits)
Octal 0o14365374
Hexadecimal 0x31EAFC

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 8,609 17,218 34,436 43,045 86,090 163,571 172,180 327,142 654,284 817,855 1,635,710 3,271,420

Collatz Trajectory (102 steps to reach 1)

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

3,271,420 1,635,710 817,855 2,453,566 1,226,783 3,680,350 1,840,175 5,520,526 2,760,263 8,280,790 4,140,395 12,421,186 6,210,593 18,631,780 9,315,890 4,657,945 13,973,836 6,986,918 3,493,459 10,480,378 5,240,189 15,720,568 7,860,284 3,930,142 1,965,071 5,895,214 2,947,607 8,842,822 4,421,411 13,264,234 6,632,117 19,896,352 9,948,176 4,974,088 2,487,044 1,243,522 621,761 1,865,284 932,642 466,321 1,398,964 699,482 349,741 1,049,224 524,612 262,306 131,153 393,460 196,730 98,365 295,096 147,548 73,774 36,887 110,662 55,331 165,994 82,997 248,992 124,496

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