λ
Prime Ledger

2,380,395

3 × 5 × 37 × 4289
Deficient Odd Composite

2,380,395 has the prime decomposition 3 × 5 × 37 × 4289. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,912,480
Proper Divisor Sum 1,532,085
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2380393 ← → #2380421

Radix Representation

Decimal 2380395
Binary 1001000101001001101011 (22 bits)
Octal 0o11051153
Hexadecimal 0x24526B

Divisor Catalog (16)

1 3 5 15 37 111 185 555 4,289 12,867 21,445 64,335 158,693 476,079 793,465 2,380,395

Collatz Trajectory (192 steps to reach 1)

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

2,380,395 7,141,186 3,570,593 10,711,780 5,355,890 2,677,945 8,033,836 4,016,918 2,008,459 6,025,378 3,012,689 9,038,068 4,519,034 2,259,517 6,778,552 3,389,276 1,694,638 847,319 2,541,958 1,270,979 3,812,938 1,906,469 5,719,408 2,859,704 1,429,852 714,926 357,463 1,072,390 536,195 1,608,586 804,293 2,412,880 1,206,440 603,220 301,610 150,805 452,416 226,208 113,104 56,552 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106

More profiles

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