7,005,735

3² × 5 × 11 × 14153

Starting at 7,005,735, the Collatz iteration reaches 1 after 191 steps. The first transition is 21017206; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 14153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,248,144

Proper Divisor Sum 6,242,409

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7005727 ← → #7005743

Radix Representation

Decimal	7005735
Binary	11010101110011000100111 (23 bits)
Octal	0o32563047
Hexadecimal	0x6AE627

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 14,153 42,459 70,765 127,377 155,683 212,295 467,049 636,885 778,415 1,401,147 2,335,245 7,005,735

Collatz Trajectory (191 steps to reach 1)

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

7,005,735 21,017,206 10,508,603 31,525,810 15,762,905 47,288,716 23,644,358 11,822,179 35,466,538 17,733,269 53,199,808 26,599,904 13,299,952 6,649,976 3,324,988 1,662,494 831,247 2,493,742 1,246,871 3,740,614 1,870,307 5,610,922 2,805,461 8,416,384 4,208,192 2,104,096 1,052,048 526,024 263,012 131,506 65,753 197,260 98,630 49,315 147,946 73,973 221,920 110,960 55,480 27,740 13,870 6,935 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235

← Previous Integer #7,005,734 Browse Full Index Next Integer #7,005,736 →