λ
Sequence Observatory

4,685,300

22 × 52 × 46853
Abundant Even Composite

Starting at 4,685,300, the Collatz iteration reaches 1 after 162 steps. The first transition is 2342650; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 46853
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,167,318
Proper Divisor Sum 5,482,018
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4685299 ← → #4685321

Radix Representation

Decimal 4685300
Binary 10001110111110111110100 (23 bits)
Octal 0o21676764
Hexadecimal 0x477DF4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 46,853 93,706 187,412 234,265 468,530 937,060 1,171,325 2,342,650 4,685,300

Collatz Trajectory (162 steps to reach 1)

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

4,685,300 2,342,650 1,171,325 3,513,976 1,756,988 878,494 439,247 1,317,742 658,871 1,976,614 988,307 2,964,922 1,482,461 4,447,384 2,223,692 1,111,846 555,923 1,667,770 833,885 2,501,656 1,250,828 625,414 312,707 938,122 469,061 1,407,184 703,592 351,796 175,898 87,949 263,848 131,924 65,962 32,981 98,944 49,472 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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