λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,584,640

3,584,640

27 × 3 × 5 × 1867
Abundant Even Composite

3,584,640 factors as 2^7 × 3 × 5 × 1867. Its 64 positive divisors give a proper-divisor sum of 7,847,520, so this integer is abundant. The Collatz stopping time is 40 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 1867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,432,160
Proper Divisor Sum 7,847,520
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3584617 ← → #3584641

Radix Representation

Decimal 3584640
Binary 1101101011001010000000 (22 bits)
Octal 0o15531200
Hexadecimal 0x36B280

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,867 1,920 3,734 5,601 7,468 9,335 11,202 14,936 18,670 22,404 28,005 29,872 37,340 44,808 56,010 59,744 74,680 89,616 112,020 119,488 149,360 179,232 224,040 238,976 298,720 358,464 448,080 597,440 716,928

Collatz Trajectory (40 steps to reach 1)

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

3,584,640 1,792,320 896,160 448,080 224,040 112,020 56,010 28,005 84,016 42,008 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,584,639 Browse Full Index Next Integer #3,584,641 →