7,520,610

2 × 3 × 5 × 250687

Starting at 7,520,610, the Collatz iteration reaches 1 after 80 steps. The first transition is 3760305; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 250687

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,049,536

Proper Divisor Sum 10,528,926

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7520603 ← → #7520621

Radix Representation

Decimal	7520610
Binary	11100101100000101100010 (23 bits)
Octal	0o34540542
Hexadecimal	0x72C162

Divisor Catalog (16)

1 2 3 5 6 10 15 30 250,687 501,374 752,061 1,253,435 1,504,122 2,506,870 3,760,305 7,520,610

Collatz Trajectory (80 steps to reach 1)

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

7,520,610 3,760,305 11,280,916 5,640,458 2,820,229 8,460,688 4,230,344 2,115,172 1,057,586 528,793 1,586,380 793,190 396,595 1,189,786 594,893 1,784,680 892,340 446,170 223,085 669,256 334,628 167,314 83,657 250,972 125,486 62,743 188,230 94,115 282,346 141,173 423,520 211,760 105,880 52,940 26,470 13,235 39,706 19,853 59,560 29,780 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37

← Previous Integer #7,520,609 Browse Full Index Next Integer #7,520,611 →