λ
Sequence Observatory

4,455,007

4455007
Deficient Odd Prime

Starting at 4,455,007, the Collatz iteration reaches 1 after 180 steps. The first transition is 13365022; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4455007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,455,008
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4455001 ← → #4455023

Radix Representation

Decimal 4455007
Binary 10000111111101001011111 (23 bits)
Octal 0o20775137
Hexadecimal 0x43FA5F

Divisor Catalog (2)

Collatz Trajectory (180 steps to reach 1)

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

4,455,007 13,365,022 6,682,511 20,047,534 10,023,767 30,071,302 15,035,651 45,106,954 22,553,477 67,660,432 33,830,216 16,915,108 8,457,554 4,228,777 12,686,332 6,343,166 3,171,583 9,514,750 4,757,375 14,272,126 7,136,063 21,408,190 10,704,095 32,112,286 16,056,143 48,168,430 24,084,215 72,252,646 36,126,323 108,378,970 54,189,485 162,568,456 81,284,228 40,642,114 20,321,057 60,963,172 30,481,586 15,240,793 45,722,380 22,861,190 11,430,595 34,291,786 17,145,893 51,437,680 25,718,840 12,859,420 6,429,710 3,214,855 9,644,566 4,822,283 14,466,850 7,233,425 21,700,276 10,850,138 5,425,069 16,275,208 8,137,604 4,068,802 2,034,401 6,103,204

More profiles

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