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Atlas › Integer Profiles › Node 3,928,480

3,928,480

25 × 5 × 43 × 571
Abundant Even Composite

3,928,480 factors as 2^5 × 5 × 43 × 571. Its 48 positive divisors give a proper-divisor sum of 5,585,024, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 43 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,513,504
Proper Divisor Sum 5,585,024
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3928453 ← → #3928487

Radix Representation

Decimal 3928480
Binary 1110111111000110100000 (22 bits)
Octal 0o16770640
Hexadecimal 0x3BF1A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 571 688 860 1,142 1,376 1,720 2,284 2,855 3,440 4,568 5,710 6,880 9,136 11,420 18,272 22,840 24,553 45,680 49,106 91,360 98,212 122,765 196,424 245,530 392,848 491,060 785,696 982,120 1,964,240 3,928,480

Collatz Trajectory (66 steps to reach 1)

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

3,928,480 1,964,240 982,120 491,060 245,530 122,765 368,296 184,148 92,074 46,037 138,112 69,056 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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