7,290,165

3 × 5 × 29 × 16759

Starting at 7,290,165, the Collatz iteration reaches 1 after 111 steps. The first transition is 21870496; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 16759

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,067,200

Proper Divisor Sum 4,777,035

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7290121 ← → #7290187

Radix Representation

Decimal	7290165
Binary	11011110011110100110101 (23 bits)
Octal	0o33636465
Hexadecimal	0x6F3D35

Divisor Catalog (16)

1 3 5 15 29 87 145 435 16,759 50,277 83,795 251,385 486,011 1,458,033 2,430,055 7,290,165

Collatz Trajectory (111 steps to reach 1)

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

7,290,165 21,870,496 10,935,248 5,467,624 2,733,812 1,366,906 683,453 2,050,360 1,025,180 512,590 256,295 768,886 384,443 1,153,330 576,665 1,729,996 864,998 432,499 1,297,498 648,749 1,946,248 973,124 486,562 243,281 729,844 364,922 182,461 547,384 273,692 136,846 68,423 205,270 102,635 307,906 153,953 461,860 230,930 115,465 346,396 173,198 86,599 259,798 129,899 389,698 194,849 584,548 292,274 146,137 438,412 219,206 109,603 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240

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