7,525,288

2³ × 17 × 55333

Starting at 7,525,288, the Collatz iteration reaches 1 after 111 steps. The first transition is 3762644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 55333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,940,180

Proper Divisor Sum 7,414,892

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7525261 ← → #7525291

Radix Representation

Decimal	7525288
Binary	11100101101001110101000 (23 bits)
Octal	0o34551650
Hexadecimal	0x72D3A8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 55,333 110,666 221,332 442,664 940,661 1,881,322 3,762,644 7,525,288

Collatz Trajectory (111 steps to reach 1)

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

7,525,288 3,762,644 1,881,322 940,661 2,821,984 1,410,992 705,496 352,748 176,374 88,187 264,562 132,281 396,844 198,422 99,211 297,634 148,817 446,452 223,226 111,613 334,840 167,420 83,710 41,855 125,566 62,783 188,350 94,175 282,526 141,263 423,790 211,895 635,686 317,843 953,530 476,765 1,430,296 715,148 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735

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