λ
Sequence Observatory

8,677,974

2 × 3 × 67 × 21587
Abundant Even Composite

Starting at 8,677,974, the Collatz iteration reaches 1 after 75 steps. The first transition is 4338987; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 21587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,615,808
Proper Divisor Sum 8,937,834
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8677967 ← → #8677979

Radix Representation

Decimal 8677974
Binary 100001000110101001010110 (24 bits)
Octal 0o41065126
Hexadecimal 0x846A56

Divisor Catalog (16)

1 2 3 6 67 134 201 402 21,587 43,174 64,761 129,522 1,446,329 2,892,658 4,338,987 8,677,974

Collatz Trajectory (75 steps to reach 1)

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

8,677,974 4,338,987 13,016,962 6,508,481 19,525,444 9,762,722 4,881,361 14,644,084 7,322,042 3,661,021 10,983,064 5,491,532 2,745,766 1,372,883 4,118,650 2,059,325 6,177,976 3,088,988 1,544,494 772,247 2,316,742 1,158,371 3,475,114 1,737,557 5,212,672 2,606,336 1,303,168 651,584 325,792 162,896 81,448 40,724 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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