λ
Sequence Observatory

7,525,201

233 × 32297
Deficient Odd Composite

Starting at 7,525,201, the Collatz iteration reaches 1 after 155 steps. The first transition is 22575604; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 233 × 32297
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,557,732
Proper Divisor Sum 32,531
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7525153 ← → #7525213

Radix Representation

Decimal 7525201
Binary 11100101101001101010001 (23 bits)
Octal 0o34551521
Hexadecimal 0x72D351

Divisor Catalog (4)

1 233 32,297 7,525,201

Collatz Trajectory (155 steps to reach 1)

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

7,525,201 22,575,604 11,287,802 5,643,901 16,931,704 8,465,852 4,232,926 2,116,463 6,349,390 3,174,695 9,524,086 4,762,043 14,286,130 7,143,065 21,429,196 10,714,598 5,357,299 16,071,898 8,035,949 24,107,848 12,053,924 6,026,962 3,013,481 9,040,444 4,520,222 2,260,111 6,780,334 3,390,167 10,170,502 5,085,251 15,255,754 7,627,877 22,883,632 11,441,816 5,720,908 2,860,454 1,430,227 4,290,682 2,145,341 6,436,024 3,218,012 1,609,006 804,503 2,413,510 1,206,755 3,620,266 1,810,133 5,430,400 2,715,200 1,357,600 678,800 339,400 169,700 84,850 42,425 127,276 63,638 31,819 95,458 47,729

More profiles

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