λ
Sequence Observatory

1,015,921

59 × 67 × 257
Deficient Odd Composite

Starting at 1,015,921, the Collatz iteration reaches 1 after 108 steps. The first transition is 3047764; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 59 × 67 × 257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,052,640
Proper Divisor Sum 36,719
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1015919 ← → #1015967

Radix Representation

Decimal 1015921
Binary 11111000000001110001 (20 bits)
Octal 0o3700161
Hexadecimal 0xF8071

Divisor Catalog (8)

1 59 67 257 3,953 15,163 17,219 1,015,921

Collatz Trajectory (108 steps to reach 1)

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

1,015,921 3,047,764 1,523,882 761,941 2,285,824 1,142,912 571,456 285,728 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

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