4,180,560

2⁴ × 3 × 5 × 17419

4,180,560 has digital root 6. The neighboring primes are 4180541 and 4180607; its proper-divisor sum differs from the starting integer by 4,599,360.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,960,480

Proper Divisor Sum 8,779,920

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4180541 ← → #4180607

Radix Representation

Decimal	4180560
Binary	1111111100101001010000 (22 bits)
Octal	0o17745120
Hexadecimal	0x3FCA50

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17,419 34,838 52,257 69,676 87,095 104,514 139,352 174,190 209,028 261,285 278,704 348,380 418,056 522,570 696,760 836,112 1,045,140 1,393,520 2,090,280 4,180,560

Collatz Trajectory (74 steps to reach 1)

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

4,180,560 2,090,280 1,045,140 522,570 261,285 783,856 391,928 195,964 97,982 48,991 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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