λ
Sequence Observatory

7,820,185

5 × 1564037
Deficient Odd Composite

Starting at 7,820,185, the Collatz iteration reaches 1 after 155 steps. The first transition is 23460556; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1564037
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,384,228
Proper Divisor Sum 1,564,043
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7820171 ← → #7820231

Radix Representation

Decimal 7820185
Binary 11101110101001110011001 (23 bits)
Octal 0o35651631
Hexadecimal 0x775399

Divisor Catalog (4)

1 5 1,564,037 7,820,185

Collatz Trajectory (155 steps to reach 1)

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

7,820,185 23,460,556 11,730,278 5,865,139 17,595,418 8,797,709 26,393,128 13,196,564 6,598,282 3,299,141 9,897,424 4,948,712 2,474,356 1,237,178 618,589 1,855,768 927,884 463,942 231,971 695,914 347,957 1,043,872 521,936 260,968 130,484 65,242 32,621 97,864 48,932 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270

More profiles

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