λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,908,760

1,908,760

23 × 5 × 7 × 17 × 401
Abundant Even Composite

1,908,760 factors as 2^3 × 5 × 7 × 17 × 401. Its 64 positive divisors give a proper-divisor sum of 3,301,160, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,209,920
Proper Divisor Sum 3,301,160
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1908757 ← → #1908761

Radix Representation

Decimal 1908760
Binary 111010010000000011000 (21 bits)
Octal 0o7220030
Hexadecimal 0x1D2018

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 401 476 595 680 802 952 1,190 1,604 2,005 2,380 2,807 3,208 4,010 4,760 5,614 6,817 8,020 11,228 13,634 14,035 16,040 22,456 27,268 28,070 34,085 47,719 54,536 56,140 68,170 95,438 112,280 136,340 190,876 238,595 272,680

Collatz Trajectory (52 steps to reach 1)

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

1,908,760 954,380 477,190 238,595 715,786 357,893 1,073,680 536,840 268,420 134,210 67,105 201,316 100,658 50,329 150,988 75,494 37,747 113,242 56,621 169,864 84,932 42,466 21,233 63,700 31,850 15,925 47,776 23,888 11,944 5,972 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 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 #1,908,759 Browse Full Index Next Integer #1,908,761 →