λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,039,974

1,039,974

2 × 3 × 13 × 67 × 199
Abundant Even Composite

Starting at 1,039,974, the Collatz iteration reaches 1 after 103 steps. The first transition is 519987; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 67 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,284,800
Proper Divisor Sum 1,244,826
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1039949 ← → #1039979

Radix Representation

Decimal 1039974
Binary 11111101111001100110 (20 bits)
Octal 0o3757146
Hexadecimal 0xFDE66

Divisor Catalog (32)

1 2 3 6 13 26 39 67 78 134 199 201 398 402 597 871 1,194 1,742 2,587 2,613 5,174 5,226 7,761 13,333 15,522 26,666 39,999 79,998 173,329 346,658 519,987 1,039,974

Collatz Trajectory (103 steps to reach 1)

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

1,039,974 519,987 1,559,962 779,981 2,339,944 1,169,972 584,986 292,493 877,480 438,740 219,370 109,685 329,056 164,528 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102

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