7,215,252

2² × 3 × 11 × 47 × 1163

Starting at 7,215,252, the Collatz iteration reaches 1 after 116 steps. The first transition is 3607626; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 47 × 1163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,772,992

Proper Divisor Sum 11,557,740

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7215239 ← → #7215277

Radix Representation

Decimal	7215252
Binary	11011100001100010010100 (23 bits)
Octal	0o33414224
Hexadecimal	0x6E1894

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1,034 1,163 1,551 2,068 2,326 3,102 3,489 4,652 6,204 6,978 12,793 13,956 25,586 38,379 51,172 54,661 76,758 109,322 153,516 163,983 218,644 327,966 601,271 655,932 1,202,542 1,803,813 2,405,084 3,607,626 7,215,252

Collatz Trajectory (116 steps to reach 1)

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

7,215,252 3,607,626 1,803,813 5,411,440 2,705,720 1,352,860 676,430 338,215 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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