λ
Sequence Observatory

7,200,973

13 × 553921
Deficient Odd Composite

Starting at 7,200,973, the Collatz iteration reaches 1 after 142 steps. The first transition is 21602920; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 553921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,754,908
Proper Divisor Sum 553,935
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7200971 ← → #7200983

Radix Representation

Decimal 7200973
Binary 11011011110000011001101 (23 bits)
Octal 0o33360315
Hexadecimal 0x6DE0CD

Divisor Catalog (4)

1 13 553,921 7,200,973

Collatz Trajectory (142 steps to reach 1)

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

7,200,973 21,602,920 10,801,460 5,400,730 2,700,365 8,101,096 4,050,548 2,025,274 1,012,637 3,037,912 1,518,956 759,478 379,739 1,139,218 569,609 1,708,828 854,414 427,207 1,281,622 640,811 1,922,434 961,217 2,883,652 1,441,826 720,913 2,162,740 1,081,370 540,685 1,622,056 811,028 405,514 202,757 608,272 304,136 152,068 76,034 38,017 114,052 57,026 28,513 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677

More profiles

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