7,259,288

2³ × 787 × 1153

Starting at 7,259,288, the Collatz iteration reaches 1 after 191 steps. The first transition is 3629644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 787 × 1153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,640,280

Proper Divisor Sum 6,380,992

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7259279 ← → #7259297

Radix Representation

Decimal	7259288
Binary	11011101100010010011000 (23 bits)
Octal	0o33542230
Hexadecimal	0x6EC498

Divisor Catalog (16)

1 2 4 8 787 1,153 1,574 2,306 3,148 4,612 6,296 9,224 907,411 1,814,822 3,629,644 7,259,288

Collatz Trajectory (191 steps to reach 1)

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

7,259,288 3,629,644 1,814,822 907,411 2,722,234 1,361,117 4,083,352 2,041,676 1,020,838 510,419 1,531,258 765,629 2,296,888 1,148,444 574,222 287,111 861,334 430,667 1,292,002 646,001 1,938,004 969,002 484,501 1,453,504 726,752 363,376 181,688 90,844 45,422 22,711 68,134 34,067 102,202 51,101 153,304 76,652 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048

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