λ
Sequence Observatory

2,238,465

3 × 5 × 79 × 1889
Deficient Odd Composite

Starting at 2,238,465, the Collatz iteration reaches 1 after 161 steps. The first transition is 6715396; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 1889
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 1,390,335
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2238421 ← → #2238473

Radix Representation

Decimal 2238465
Binary 1000100010100000000001 (22 bits)
Octal 0o10424001
Hexadecimal 0x222801

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 1,889 5,667 9,445 28,335 149,231 447,693 746,155 2,238,465

Collatz Trajectory (161 steps to reach 1)

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

2,238,465 6,715,396 3,357,698 1,678,849 5,036,548 2,518,274 1,259,137 3,777,412 1,888,706 944,353 2,833,060 1,416,530 708,265 2,124,796 1,062,398 531,199 1,593,598 796,799 2,390,398 1,195,199 3,585,598 1,792,799 5,378,398 2,689,199 8,067,598 4,033,799 12,101,398 6,050,699 18,152,098 9,076,049 27,228,148 13,614,074 6,807,037 20,421,112 10,210,556 5,105,278 2,552,639 7,657,918 3,828,959 11,486,878 5,743,439 17,230,318 8,615,159 25,845,478 12,922,739 38,768,218 19,384,109 58,152,328 29,076,164 14,538,082 7,269,041 21,807,124 10,903,562 5,451,781 16,355,344 8,177,672 4,088,836 2,044,418 1,022,209 3,066,628

More profiles

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