7,367,340

2² × 3 × 5 × 122789

7,367,340 factors as 2^2 × 3 × 5 × 122789. Its 24 positive divisors give a proper-divisor sum of 13,261,380, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 122789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,628,720

Proper Divisor Sum 13,261,380

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7367333 ← → #7367351

Radix Representation

Decimal	7367340
Binary	11100000110101010101100 (23 bits)
Octal	0o34065254
Hexadecimal	0x706AAC

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,367,340 3,683,670 1,841,835 5,525,506 2,762,753 8,288,260 4,144,130 2,072,065 6,216,196 3,108,098 1,554,049 4,662,148 2,331,074 1,165,537 3,496,612 1,748,306 874,153 2,622,460 1,311,230 655,615 1,966,846 983,423 2,950,270 1,475,135 4,425,406 2,212,703 6,638,110 3,319,055 9,957,166 4,978,583 14,935,750 7,467,875 22,403,626 11,201,813 33,605,440 16,802,720 8,401,360 4,200,680 2,100,340 1,050,170 525,085 1,575,256 787,628 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366

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