λ
Sequence Observatory

7,209,157

7209157
Deficient Odd Prime

Starting at 7,209,157, the Collatz iteration reaches 1 after 98 steps. The first transition is 21627472; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7209157
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,209,158
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7209121 ← → #7209179

Radix Representation

Decimal 7209157
Binary 11011100000000011000101 (23 bits)
Octal 0o33400305
Hexadecimal 0x6E00C5

Divisor Catalog (2)

Collatz Trajectory (98 steps to reach 1)

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

7,209,157 21,627,472 10,813,736 5,406,868 2,703,434 1,351,717 4,055,152 2,027,576 1,013,788 506,894 253,447 760,342 380,171 1,140,514 570,257 1,710,772 855,386 427,693 1,283,080 641,540 320,770 160,385 481,156 240,578 120,289 360,868 180,434 90,217 270,652 135,326 67,663 202,990 101,495 304,486 152,243 456,730 228,365 685,096 342,548 171,274 85,637 256,912 128,456 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622

More profiles

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