7,428,720

2⁴ × 3 × 5 × 13 × 2381

Starting at 7,428,720, the Collatz iteration reaches 1 after 142 steps. The first transition is 3714360; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 2381

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,810,912

Proper Divisor Sum 17,382,192

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7428713 ← → #7428731

Radix Representation

Decimal	7428720
Binary	11100010101101001110000 (23 bits)
Octal	0o34255160
Hexadecimal	0x715A70

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1,040 1,560 2,381 3,120 4,762 7,143 9,524 11,905 14,286 19,048 23,810 28,572 30,953 35,715 38,096 47,620 57,144 61,906 71,430 92,859 95,240 114,288 123,812

Collatz Trajectory (142 steps to reach 1)

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

7,428,720 3,714,360 1,857,180 928,590 464,295 1,392,886 696,443 2,089,330 1,044,665 3,133,996 1,566,998 783,499 2,350,498 1,175,249 3,525,748 1,762,874 881,437 2,644,312 1,322,156 661,078 330,539 991,618 495,809 1,487,428 743,714 371,857 1,115,572 557,786 278,893 836,680 418,340 209,170 104,585 313,756 156,878 78,439 235,318 117,659 352,978 176,489 529,468 264,734 132,367 397,102 198,551 595,654 297,827 893,482 446,741 1,340,224 670,112 335,056 167,528 83,764 41,882 20,941 62,824 31,412 15,706 7,853

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