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Atlas › Integer Profiles › Node 3,942,560

3,942,560

25 × 5 × 41 × 601
Abundant Even Composite

3,942,560 factors as 2^5 × 5 × 41 × 601. Its 48 positive divisors give a proper-divisor sum of 5,614,792, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,557,352
Proper Divisor Sum 5,614,792
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3942553 ← → #3942569

Radix Representation

Decimal 3942560
Binary 1111000010100010100000 (22 bits)
Octal 0o17024240
Hexadecimal 0x3C28A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 601 656 820 1,202 1,312 1,640 2,404 3,005 3,280 4,808 6,010 6,560 9,616 12,020 19,232 24,040 24,641 48,080 49,282 96,160 98,564 123,205 197,128 246,410 394,256 492,820 788,512 985,640 1,971,280 3,942,560

Collatz Trajectory (141 steps to reach 1)

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

3,942,560 1,971,280 985,640 492,820 246,410 123,205 369,616 184,808 92,404 46,202 23,101 69,304 34,652 17,326 8,663 25,990 12,995 38,986 19,493 58,480 29,240 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700

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