λ
Sequence Observatory

6,895,974

2 × 3 × 19 × 241 × 251
Abundant Even Composite

Starting at 6,895,974, the Collatz iteration reaches 1 after 284 steps. The first transition is 3447987; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 241 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,636,160
Proper Divisor Sum 7,740,186
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6895969 ← → #6895991

Radix Representation

Decimal 6895974
Binary 11010010011100101100110 (23 bits)
Octal 0o32234546
Hexadecimal 0x693966

Divisor Catalog (32)

1 2 3 6 19 38 57 114 241 251 482 502 723 753 1,446 1,506 4,579 4,769 9,158 9,538 13,737 14,307 27,474 28,614 60,491 120,982 181,473 362,946 1,149,329 2,298,658 3,447,987 6,895,974

Collatz Trajectory (284 steps to reach 1)

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

6,895,974 3,447,987 10,343,962 5,171,981 15,515,944 7,757,972 3,878,986 1,939,493 5,818,480 2,909,240 1,454,620 727,310 363,655 1,090,966 545,483 1,636,450 818,225 2,454,676 1,227,338 613,669 1,841,008 920,504 460,252 230,126 115,063 345,190 172,595 517,786 258,893 776,680 388,340 194,170 97,085 291,256 145,628 72,814 36,407 109,222 54,611 163,834 81,917 245,752 122,876 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638

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