7,182,626

2 × 11 × 41 × 7963

Starting at 7,182,626, the Collatz iteration reaches 1 after 116 steps. The first transition is 3591313; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 41 × 7963

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,041,568

Proper Divisor Sum 4,858,942

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7182583 ← → #7182629

Radix Representation

Decimal	7182626
Binary	11011011001100100100010 (23 bits)
Octal	0o33314442
Hexadecimal	0x6D9922

Divisor Catalog (16)

1 2 11 22 41 82 451 902 7,963 15,926 87,593 175,186 326,483 652,966 3,591,313 7,182,626

Collatz Trajectory (116 steps to reach 1)

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

7,182,626 3,591,313 10,773,940 5,386,970 2,693,485 8,080,456 4,040,228 2,020,114 1,010,057 3,030,172 1,515,086 757,543 2,272,630 1,136,315 3,408,946 1,704,473 5,113,420 2,556,710 1,278,355 3,835,066 1,917,533 5,752,600 2,876,300 1,438,150 719,075 2,157,226 1,078,613 3,235,840 1,617,920 808,960 404,480 202,240 101,120 50,560 25,280 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

← Previous Integer #7,182,625 Browse Full Index Next Integer #7,182,627 →