λ
Sequence Observatory

7,542,209

79 × 95471
Deficient Odd Composite

Starting at 7,542,209, the Collatz iteration reaches 1 after 129 steps. The first transition is 22626628; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 79 × 95471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,637,760
Proper Divisor Sum 95,551
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7542187 ← → #7542253

Radix Representation

Decimal 7542209
Binary 11100110001010111000001 (23 bits)
Octal 0o34612701
Hexadecimal 0x7315C1

Divisor Catalog (4)

1 79 95,471 7,542,209

Collatz Trajectory (129 steps to reach 1)

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

7,542,209 22,626,628 11,313,314 5,656,657 16,969,972 8,484,986 4,242,493 12,727,480 6,363,740 3,181,870 1,590,935 4,772,806 2,386,403 7,159,210 3,579,605 10,738,816 5,369,408 2,684,704 1,342,352 671,176 335,588 167,794 83,897 251,692 125,846 62,923 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

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