λ
Sequence Observatory

4,576,894

2 × 72 × 46703
Deficient Even Composite

Starting at 4,576,894, the Collatz iteration reaches 1 after 131 steps. The first transition is 2288447; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 46703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,986,384
Proper Divisor Sum 3,409,490
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4576889 ← → #4576903

Radix Representation

Decimal 4576894
Binary 10001011101011001111110 (23 bits)
Octal 0o21353176
Hexadecimal 0x45D67E

Divisor Catalog (12)

1 2 7 14 49 98 46,703 93,406 326,921 653,842 2,288,447 4,576,894

Collatz Trajectory (131 steps to reach 1)

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

4,576,894 2,288,447 6,865,342 3,432,671 10,298,014 5,149,007 15,447,022 7,723,511 23,170,534 11,585,267 34,755,802 17,377,901 52,133,704 26,066,852 13,033,426 6,516,713 19,550,140 9,775,070 4,887,535 14,662,606 7,331,303 21,993,910 10,996,955 32,990,866 16,495,433 49,486,300 24,743,150 12,371,575 37,114,726 18,557,363 55,672,090 27,836,045 83,508,136 41,754,068 20,877,034 10,438,517 31,315,552 15,657,776 7,828,888 3,914,444 1,957,222 978,611 2,935,834 1,467,917 4,403,752 2,201,876 1,100,938 550,469 1,651,408 825,704 412,852 206,426 103,213 309,640 154,820 77,410 38,705 116,116 58,058 29,029

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