λ
Sequence Observatory

104,350

2 × 52 × 2087
Deficient Even Composite

Starting at 104,350, the Collatz iteration reaches 1 after 84 steps. The first transition is 52175; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 2087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 194,184
Proper Divisor Sum 89,834
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #104347 ← → #104369

Radix Representation

Decimal 104350
Binary 11001011110011110 (17 bits)
Octal 0o313636
Hexadecimal 0x1979E

Divisor Catalog (12)

1 2 5 10 25 50 2,087 4,174 10,435 20,870 52,175 104,350

Collatz Trajectory (84 steps to reach 1)

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

104,350 52,175 156,526 78,263 234,790 117,395 352,186 176,093 528,280 264,140 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662

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