λ
Sequence Observatory

4,782,511

4782511
Deficient Odd Prime

Starting at 4,782,511, the Collatz iteration reaches 1 after 144 steps. The first transition is 14347534; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4782511
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,782,512
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4782497 ← → #4782523

Radix Representation

Decimal 4782511
Binary 10010001111100110101111 (23 bits)
Octal 0o22174657
Hexadecimal 0x48F9AF

Divisor Catalog (2)

1 4,782,511

Collatz Trajectory (144 steps to reach 1)

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

4,782,511 14,347,534 7,173,767 21,521,302 10,760,651 32,281,954 16,140,977 48,422,932 24,211,466 12,105,733 36,317,200 18,158,600 9,079,300 4,539,650 2,269,825 6,809,476 3,404,738 1,702,369 5,107,108 2,553,554 1,276,777 3,830,332 1,915,166 957,583 2,872,750 1,436,375 4,309,126 2,154,563 6,463,690 3,231,845 9,695,536 4,847,768 2,423,884 1,211,942 605,971 1,817,914 908,957 2,726,872 1,363,436 681,718 340,859 1,022,578 511,289 1,533,868 766,934 383,467 1,150,402 575,201 1,725,604 862,802 431,401 1,294,204 647,102 323,551 970,654 485,327 1,455,982 727,991 2,183,974 1,091,987

More profiles

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