λ
Sequence Observatory

4,784,455

5 × 13 × 73607
Deficient Odd Composite

Starting at 4,784,455, the Collatz iteration reaches 1 after 237 steps. The first transition is 14353366; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 73607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,183,072
Proper Divisor Sum 1,398,617
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4784443 ← → #4784467

Radix Representation

Decimal 4784455
Binary 10010010000000101000111 (23 bits)
Octal 0o22200507
Hexadecimal 0x490147

Divisor Catalog (8)

1 5 13 65 73,607 368,035 956,891 4,784,455

Collatz Trajectory (237 steps to reach 1)

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

4,784,455 14,353,366 7,176,683 21,530,050 10,765,025 32,295,076 16,147,538 8,073,769 24,221,308 12,110,654 6,055,327 18,165,982 9,082,991 27,248,974 13,624,487 40,873,462 20,436,731 61,310,194 30,655,097 91,965,292 45,982,646 22,991,323 68,973,970 34,486,985 103,460,956 51,730,478 25,865,239 77,595,718 38,797,859 116,393,578 58,196,789 174,590,368 87,295,184 43,647,592 21,823,796 10,911,898 5,455,949 16,367,848 8,183,924 4,091,962 2,045,981 6,137,944 3,068,972 1,534,486 767,243 2,301,730 1,150,865 3,452,596 1,726,298 863,149 2,589,448 1,294,724 647,362 323,681 971,044 485,522 242,761 728,284 364,142 182,071

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