λ
Sequence Observatory
Atlas › Integer Profiles › Node 6,948,810

6,948,810

2 × 32 × 5 × 11 × 7019
Abundant Even Composite

Starting at 6,948,810, the Collatz iteration reaches 1 after 204 steps. The first transition is 3474405; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 7019
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,712,160
Proper Divisor Sum 12,763,350
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6948793 ← → #6948847

Radix Representation

Decimal 6948810
Binary 11010100000011111001010 (23 bits)
Octal 0o32403712
Hexadecimal 0x6A07CA

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 7,019 14,038 21,057 35,095 42,114 63,171 70,190 77,209 105,285 126,342 154,418 210,570 231,627 315,855 386,045 463,254 631,710 694,881 772,090 1,158,135 1,389,762 2,316,270 3,474,405 6,948,810

Collatz Trajectory (204 steps to reach 1)

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

6,948,810 3,474,405 10,423,216 5,211,608 2,605,804 1,302,902 651,451 1,954,354 977,177 2,931,532 1,465,766 732,883 2,198,650 1,099,325 3,297,976 1,648,988 824,494 412,247 1,236,742 618,371 1,855,114 927,557 2,782,672 1,391,336 695,668 347,834 173,917 521,752 260,876 130,438 65,219 195,658 97,829 293,488 146,744 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077

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