7,313,215

5 × 7 × 13 × 16073

Starting at 7,313,215, the Collatz iteration reaches 1 after 266 steps. The first transition is 21939646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 16073

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,801,728

Proper Divisor Sum 3,488,513

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7313203 ← → #7313221

Radix Representation

Decimal	7313215
Binary	11011111001011100111111 (23 bits)
Octal	0o33713477
Hexadecimal	0x6F973F

Divisor Catalog (16)

1 5 7 13 35 65 91 455 16,073 80,365 112,511 208,949 562,555 1,044,745 1,462,643 7,313,215

Collatz Trajectory (266 steps to reach 1)

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

7,313,215 21,939,646 10,969,823 32,909,470 16,454,735 49,364,206 24,682,103 74,046,310 37,023,155 111,069,466 55,534,733 166,604,200 83,302,100 41,651,050 20,825,525 62,476,576 31,238,288 15,619,144 7,809,572 3,904,786 1,952,393 5,857,180 2,928,590 1,464,295 4,392,886 2,196,443 6,589,330 3,294,665 9,883,996 4,941,998 2,470,999 7,412,998 3,706,499 11,119,498 5,559,749 16,679,248 8,339,624 4,169,812 2,084,906 1,042,453 3,127,360 1,563,680 781,840 390,920 195,460 97,730 48,865 146,596 73,298 36,649 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314

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