λ
Prime Ledger

1,375,800

23 × 3 × 52 × 2293
Abundant Even Composite

1,375,800 has the prime decomposition 2^3 × 3 × 5^2 × 2293. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,266,840
Proper Divisor Sum 2,891,040
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1375799 ← → #1375807

Radix Representation

Decimal 1375800
Binary 101001111111000111000 (21 bits)
Octal 0o5177070
Hexadecimal 0x14FE38

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2,293 4,586 6,879 9,172 11,465 13,758 18,344 22,930 27,516 34,395 45,860 55,032 57,325 68,790 91,720 114,650 137,580 171,975 229,300 275,160 343,950 458,600 687,900 1,375,800

Collatz Trajectory (137 steps to reach 1)

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

1,375,800 687,900 343,950 171,975 515,926 257,963 773,890 386,945 1,160,836 580,418 290,209 870,628 435,314 217,657 652,972 326,486 163,243 489,730 244,865 734,596 367,298 183,649 550,948 275,474 137,737 413,212 206,606 103,303 309,910 154,955 464,866 232,433 697,300 348,650 174,325 522,976 261,488 130,744 65,372 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366

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