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Atlas › Integer Profiles › Node 2,390,500

2,390,500

22 × 53 × 7 × 683
Abundant Even Composite

2,390,500 factors as 2^2 × 5^3 × 7 × 683. Its 48 positive divisors give a proper-divisor sum of 3,584,924, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,975,424
Proper Divisor Sum 3,584,924
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2390477 ← → #2390519

Radix Representation

Decimal 2390500
Binary 1001000111100111100100 (22 bits)
Octal 0o11074744
Hexadecimal 0x2479E4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 683 700 875 1,366 1,750 2,732 3,415 3,500 4,781 6,830 9,562 13,660 17,075 19,124 23,905 34,150 47,810 68,300 85,375 95,620 119,525 170,750 239,050 341,500 478,100 597,625 1,195,250 2,390,500

Collatz Trajectory (99 steps to reach 1)

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

2,390,500 1,195,250 597,625 1,792,876 896,438 448,219 1,344,658 672,329 2,016,988 1,008,494 504,247 1,512,742 756,371 2,269,114 1,134,557 3,403,672 1,701,836 850,918 425,459 1,276,378 638,189 1,914,568 957,284 478,642 239,321 717,964 358,982 179,491 538,474 269,237 807,712 403,856 201,928 100,964 50,482 25,241 75,724 37,862 18,931 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528

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